{"id":4506,"date":"2022-03-26T16:57:44","date_gmt":"2022-03-26T11:27:44","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=4506"},"modified":"2022-04-07T12:23:22","modified_gmt":"2022-04-07T06:53:22","slug":"go-math-grade-5-answer-key-chapter-11-geometry-and-volume","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-5-answer-key-chapter-11-geometry-and-volume\/","title":{"rendered":"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume"},"content":{"rendered":"<p>Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume comes with Crystal Clear Solutions and makes it easy for you to grasp the topics in it. Get Acquainted with the Geometry and Volume of Rectangular Prisms in the later sections. We provide <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-5-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 5 Answer Key<\/a> by Subject experts and explained them clearly so that students will no longer feel the concepts of Geometry and Volume difficult anymore.<\/p>\n<h2>Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume<\/h2>\n<p>Anyone who wishes to know the Procedure on How to find the Geometry and Volume of different shapes can get them using the 5th Grade Go Math Answer Key for Ch 11 Geometry and Volume. You can access the Topics of 5th Grade Go Math Answer Key Chapter 11 through the direct links available out there. The Topics Covered in the Geometry and Volume Chapter include polygons, quadrilaterals, triangles, understand volume, estimate volume, the volume of the rectangular prism, etc.<\/p>\n<p><strong>Lesson 1: Polygons<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Lesson_1_Polygons_Page_No_639\">Share and Show &#8211; Lesson 1: Polygons &#8211; Page No. 639<\/a><\/li>\n<li><a href=\"#Problem_Solving_Lesson_1_Polygons_Page_No_640\">Problem Solving &#8211; Lesson 1: Polygons &#8211; Page No. 640<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 2: Triangles<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Lesson_2_triangles_Page_No_645\">Share and Show &#8211; Lesson 2: Triangles &#8211; Page No. 645<\/a><\/li>\n<li><a href=\"#Problem_Solving_Lesson_2_Triangles_Page_No_646\">Problem Solving &#8211; Lesson 2: Triangles &#8211; Page No. 646<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 3: Quadrilaterals<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Lesson_3_Quadrilaterals_Page_No_651\">Share and Show &#8211; Lesson 3: Quadrilaterals &#8211; Page No. 651<\/a><\/li>\n<li><a href=\"#Problem_Solving_Lesson_3_Quadrilaterals_Page_No_652\">Problem Solving &#8211; Lesson 3: Quadrilaterals &#8211; Page No. 652<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 4: Properties of Two-Dimensional Figures<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Lesson_4_Properties_of_Two_Dimensional_Figures_Page_No_455\">Share and Show &#8211; Lesson 4: Properties of Two-Dimensional Figures &#8211; Page No. 455<\/a><\/li>\n<li><a href=\"#On_Your_Own_Lesson_4_Properties_of_Two_Dimensional_Figures_Page_No_456\">On Your Own &#8211; Lesson 4: Properties of Two-Dimensional Figures &#8211; Page No. 456<\/a><\/li>\n<li><a href=\"#Share_and_Show_Lesson_4_Properties_of_Two_Dimensional_Figures_Page_No_656\">Share and Show &#8211; Lesson 4: Properties of Two-Dimensional Figures &#8211; Page No. 656<\/a><\/li>\n<li><a href=\"#Problem_Solving_Lesson_4_Properties_of_Two_Dimensional_Figures_Page_No_657\">Problem Solving &#8211; Lesson 4: Properties of Two-Dimensional Figures &#8211; Page No. 657<\/a><\/li>\n<\/ul>\n<p><strong>Mid-Chapter Checkpoint<\/strong><\/p>\n<ul>\n<li><a href=\"#Mid_Chapter_Review_Page_No_661\">Mid-Chapter Review &#8211; Vocabulary &#8211; Page No. 661<\/a><\/li>\n<li><a href=\"#Mid_Chapter_Review_Page_No_662\">Mid-Chapter Review &#8211; Page No. 662<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5: Unit Cubes and Solid Figures<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Lesson 5_Unit_Cubes_and_Solid_Figures_Page_No_665\">Share and Show &#8211; Lesson 5: Unit Cubes and Solid Figures &#8211; Page No. 665<\/a><\/li>\n<li><a href=\"#Lesson 5_Unit_Cubes_and_Solid_Figures_Page_No_666\">Lesson 5: Unit Cubes and Solid Figures &#8211; Page No. 666<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 6: Understand Volume<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Lesson_6_Understand_Volume_Page_No_671\">Share and Show &#8211; Lesson 6: Understand Volume &#8211; Page No. 671<\/a><\/li>\n<li><a href=\"#Problem_Solving_Lesson_6_Understand_Volume_Page_No_672\">Problem Solving &#8211; Lesson 6: Understand Volume &#8211; Page No. 672<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 7: Estimate Volume<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Lesson_7_Estimate_Volume_Page_No_677\">Share and Show &#8211; Lesson 7: Estimate Volume &#8211; Page No. 677<\/a><\/li>\n<li><a href=\"#Problem_Solving_Lesson_7_Estimate_Volume_Page_No_678\">Problem Solving &#8211; Lesson 7: Estimate Volume &#8211; Page No. 678<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 8: Volume of Rectangular Prisms<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Lesson_8_Volume_of_Rectangular_Prisms_Page_No_683\">Share and Show &#8211; Lesson 8: Volume of Rectangular Prisms &#8211; Page No. 683<\/a><\/li>\n<li><a href=\"#UNLOCK_the_Problem_Lesson_8_Volume_of_Rectangular_Prisms_Page_No_684\">UNLOCK the Problem &#8211; Lesson 8: Volume of Rectangular Prisms &#8211; Page No. 684<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 9: Algebra Apply Volume Formulas<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Lesson_9_Algebra_Apply_Volume_Formulas_Page_No_689\">Share and Show &#8211; Lesson 9: Algebra Apply Volume Formulas &#8211; Page No. 689<\/a><\/li>\n<li><a href=\"#Problem_Solving_Lesson_9_Algebra_Apply_Volume_Formulas_Page_No_690\">Problem Solving &#8211; Lesson 9: Algebra Apply Volume Formulas &#8211; Page No. 690<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 10: Problem Solving Compare Volumes<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Lesson_10_Problem_Solving_Compare_Volumes_Page_No_695\">Share and Show &#8211; Lesson 10: Problem Solving Compare Volumes &#8211; Page No. 695<\/a><\/li>\n<li><a href=\"#On_Your_Own_Lesson_10_Problem_Solving_Compare_Volumes_Page_No_696\">On Your Own &#8211; Lesson 10: Problem Solving Compare Volumes &#8211; Page No. 696<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 11: Find Volume of Composed Figures<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Lesson_11_Find_Volume_of_Composed_Figures_Page_No_701\">Share and Show &#8211; Lesson 11: Find Volume of Composed Figures &#8211; Page No. 701<\/a><\/li>\n<li><a href=\"#Problem_Solving_Lesson_11_Find_Volume_of_Composed_Figures_Page_No_702\">Problem Solving &#8211; Lesson 11: Find Volume of Composed Figures &#8211; Page No. 702<\/a><\/li>\n<\/ul>\n<p><strong>Chapter Review\/Test<\/strong><\/p>\n<ul>\n<li><a href=\"#Chapter_Review_Test_Page_No_705\">Chapter Review\/Test &#8211; Page No. 705<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_706\">Chapter Review\/Test &#8211; Page No. 706<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_707\">Chapter Review\/Test &#8211; Page No. 707<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_708\">Chapter Review\/Test &#8211; Page No. 708<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_709\">Chapter Review\/Test &#8211; Page No. 709<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_710\">Chapter Review\/Test &#8211; Page No. 710<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_4910\">Chapter Review\/Test &#8211; Page No. 4910<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_4920\">Chapter Review\/Test &#8211; Page No. 4920<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_4930\">Chapter Review\/Test &#8211; Page No. 4930<\/a><\/li>\n<li><a href=\"#Chapter_Review_Test_Page_No_4940\">Chapter Review\/Test &#8211; Page No. 4940<\/a><\/li>\n<\/ul>\n<h3><a id=\"Share_and_Show_Lesson_1_Polygons_Page_No_639\"><\/a>Share and Show &#8211; Lesson 1: Polygons &#8211; Page No. 639<\/h3>\n<p>Question 1.<br \/>\nName the polygon. Then use the markings on the figure to tell whether it is a regular polygon or not a regular polygon.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-1.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 1\" width=\"91\" height=\"96\" \/><br \/>\na. Name the polygon.<br \/>\n__________<\/p>\n<p>Answer: Triangle<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has. The above figure consists of three sides. So, the name of the polygon is a triangle.<\/p>\n<p>Question 1.<br \/>\nb. Are all the sides and all the angles congruent?<br \/>\n_____<\/p>\n<p>Answer: Yes<\/p>\n<p>Explanation:<br \/>\nWhen line segments have the same length or when angles have the same measure, they are congruent. All sides are equal in the above figure.<br \/>\nThus the above figure is congruent.<\/p>\n<p>Question 1.<br \/>\nc. Is the polygon a regular polygon?<br \/>\n_____<\/p>\n<p>Answer: Yes<\/p>\n<p>Explanation:<br \/>\nIn a regular polygon, all sides are congruent and all angles are congruent.<br \/>\nThe above figure has the same sides and same angles. Thus the above figure is a regular polygon.<\/p>\n<p><strong>Name each polygon. Then tell whether it is a regular polygon or not a regular polygon.<\/strong><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-2.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 2\" width=\"113\" height=\"103\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. Hexagon<br \/>\nii. Regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has. The above figure consists of 6 sides. So, the name of the polygon is Hexagon.<br \/>\nIn a regular polygon, all sides are congruent and all angles are congruent. The above figure has the same sides and same angles. Thus the above figure is a regular polygon.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-3.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 3\" width=\"97\" height=\"70\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. Quadrilateral<br \/>\nii. Not regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has. The above figure consists of 4 sides. So, the name of the polygon is Quadrilateral.<br \/>\nThe above figure doesn&#8217;t have the same sides thus the above figure is not a regular polygon.<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-4.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 4\" width=\"109\" height=\"110\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. Octagon<br \/>\nii. Regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has. The above figure consists of 8 sides. So, the name of the polygon is Octagon.<br \/>\nIn a regular polygon, all sides are congruent and all angles are congruent. The above figure has the same sides and same angles. Thus the above Octagon is a regular polygon.<\/p>\n<p><strong>Name each polygon. Then tell whether it is a regular polygon or not a regular polygon.<\/strong><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-5.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 5\" width=\"104\" height=\"105\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. Quadrilateral<br \/>\nii. Regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has. The above figure consists of 4 sides. So, the name of the polygon is Quadrilateral.<br \/>\nIn a regular polygon, all sides are congruent and all angles are congruent. The above figure has the same sides and same angles. Thus the above Quadrilateral is a regular polygon.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-6.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 6\" width=\"128\" height=\"94\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. Triangle<br \/>\nii. Not regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has. The above figure consists of three sides. So, the name of the polygon is a triangle.<br \/>\nThe above figure doesn&#8217;t have the same sides thus the above figure is not a regular polygon.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-7.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 7\" width=\"109\" height=\"113\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. Heptagon<br \/>\nii. Regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has. The above figure consists of 7 sides. So, the name of the polygon is Heptagon.<br \/>\nIn a regular polygon, all sides are congruent and all angles are congruent. The above figure has the same sides and same angles. Thus the above Heptagon is a regular polygon.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-8.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 8\" width=\"157\" height=\"77\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. Hexagon<br \/>\nii. Not regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has. The above figure consists of six sides. So, the name of the polygon is a Hexagon.<br \/>\nThe above figure doesn&#8217;t have the same sides and angles thus the above figure is not a regular polygon.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-9.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 9\" width=\"156\" height=\"74\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. Pentagon<br \/>\nii. Not regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has. The above figure consists of five sides. So, the name of the polygon is a Pentagon.<br \/>\nThe above figure doesn&#8217;t have the same sides and angles thus the above figure is not a regular polygon.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-10.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 10\" width=\"103\" height=\"107\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. Pentagon<br \/>\nii. Regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has. The above figure consists of five sides. So, the name of the polygon is a Pentagon.<br \/>\nIn a regular polygon, all sides are congruent and all angles are congruent. The above figure has the same sides and same angles. Thus the above Pentagon is a regular polygon.<\/p>\n<h3><a id=\"Problem_Solving_Lesson_1_Polygons_Page_No_640\"><\/a>Problem Solving &#8211; Lesson 1: Polygons &#8211; Page No. 640<\/h3>\n<p><strong>For 11\u201312, use the Castel del Monte floor plan at the right.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-11.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 11\" width=\"225\" height=\"221\" \/><\/p>\n<p>Question 11.<br \/>\nWhich polygons in the floor plan have four equal sides and four congruent angles? How many of these polygons are there?<br \/>\npolygon: __________<br \/>\nThe number of polygons: __________<\/p>\n<p>Answer:<br \/>\npolygon: Quadrilateral<br \/>\nThe number of polygons: 8<\/p>\n<p>Explanation:<br \/>\nBy seeing the above figure we can say that there are eight Quadrilaterals in the octagon. And the number of polygons is 8.<\/p>\n<p>Question 12.<br \/>\nIs there a quadrilateral in the floor plan that is not a regular polygon? Name the quadrilateral and tell how many of the quadrilaterals are in the floor plan.<br \/>\nName of quadrilateral: __________<br \/>\nThe number of quadrilaterals: __________<\/p>\n<p>Answer:<br \/>\nName of quadrilateral: Trapezoid<br \/>\nThe number of quadrilaterals: 8<\/p>\n<p>Explanation:<br \/>\nThe name of the Quadrilateral for the above figure is Trapezoid. There is 8 number of quadrilaterals in the floor plan.<\/p>\n<p>Question 13.<br \/>\nSketch eight points. Then connect the points to draw a closed plane figure.<br \/>\nWhat kind of polygon did you draw?<br \/>\n__________<\/p>\n<p>Answer: Octagon<\/p>\n<p><img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-4.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 4\" width=\"109\" height=\"110\" \/><\/p>\n<p>Question 14.<br \/>\nLook at the angles for all regular polygons. As the number of sides increases, do the measures of the angles increase or decrease? What pattern do you see?<br \/>\nangles measures __________<\/p>\n<p>Answer: Increase<\/p>\n<p>Explanation:<br \/>\nAs the number of sides increases, the measures of the angles increase.<br \/>\nwe know that<br \/>\nThe measure of the interior angle in a regular polygon is equal to<br \/>\nx = (n-2)\/n(180\u00b0)<br \/>\nwhere<br \/>\nn is the number of sides of the regular polygon.<br \/>\nx is the measure of the interior angle in a regular polygon.<\/p>\n<p>Question 15.<br \/>\nTest Prep Which of the following is a regular hexagon?<br \/>\nOptions:<br \/>\na. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-12.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 12\" width=\"110\" height=\"100\" \/><br \/>\nb. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-13.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 13\" width=\"99\" height=\"75\" \/><br \/>\nc. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-14.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 14\" width=\"116\" height=\"104\" \/><br \/>\nd. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-15.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 15\" width=\"126\" height=\"101\" \/><\/p>\n<p>Answer: <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-14.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 1: Polygons img 14\" width=\"116\" height=\"104\" \/><\/p>\n<h3><a id=\"Share_and_Show_Lesson_2_triangles_Page_No_645\"><\/a>Share and Show &#8211; Lesson 2: Triangles &#8211; Page No. 645<\/h3>\n<p><strong>Classify each triangle. Write isosceles, scalene, or equilateral.<\/strong><\/p>\n<p><strong>Then write acute, obtuse, or right.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-16.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 2: Triangles img 16\" width=\"107\" height=\"102\" \/><br \/>\n\u25b3 __________<br \/>\n\u2220 __________<\/p>\n<p>Answer:<br \/>\n\u25b3 &#8211; Scalene<br \/>\n\u2220 &#8211; Acute<\/p>\n<p>Explanation:<br \/>\nThe 3 sides of the triangle are unequal. If three sides of the triangle are different it is known as Scalene. The angles are less than 90\u00b0 thus the angle is known as an acute angle.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-17.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 2: Triangles img 17\" width=\"97\" height=\"92\" \/><br \/>\n\u25b3 __________<br \/>\n\u2220 __________<\/p>\n<p>Answer:<br \/>\n\u25b3 &#8211; Equilateral<br \/>\n\u2220 &#8211; Acute<\/p>\n<p>Explanation:<br \/>\nThe 3 sides of the triangle are equal. If three sides of the triangle are equal it is known as the equilateral triangle. The angles are less than 90\u00b0 thus the angle is known as an acute angle.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-18.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 2: Triangles img 18\" width=\"188\" height=\"87\" \/><br \/>\n\u25b3 __________<br \/>\n\u2220 __________<\/p>\n<p>Answer:<\/p>\n<p>\u25b3 &#8211; Isosceles<br \/>\n\u2220 &#8211; Acute<\/p>\n<p>Explanation:<br \/>\nThe 2 sides of the triangle are equal and the third side is not equal. If two sides of the triangle are different it is known as Isosceles.<br \/>\nThe angles are less than 90\u00b0 thus the angle is known as an acute angle.<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Classify each triangle. Write isosceles, scalene, or equilateral.<\/strong><\/p>\n<p><strong>Then write acute, obtuse, or right.<\/strong><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-19.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 2: Triangles img 19\" width=\"113\" height=\"105\" \/><br \/>\n\u25b3 __________<br \/>\n\u2220 __________<\/p>\n<p>Answer:<br \/>\n\u25b3 &#8211; Scalene<br \/>\n\u2220 &#8211; Right<\/p>\n<p>Explanation:<br \/>\nThe 3 sides of the triangle are unequal. If three sides of the triangle are different it is known as Scalene. One of the angle is 90\u00b0 thus the angle is known as a right angle.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-20.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 2: Triangles img 20\" width=\"93\" height=\"94\" \/><br \/>\n\u25b3 __________<br \/>\n\u2220 __________<\/p>\n<p>Answer:<br \/>\n\u25b3 &#8211; Isosceles<br \/>\n\u2220 &#8211; Acute<\/p>\n<p>Explanation:<br \/>\nThe 2 sides of the triangle are equal and the third side is not equal. If two sides of the triangle are different it is known as Isosceles.<br \/>\nThe angles are less than 90\u00b0 thus the angle is known as an acute angle.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-21.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 2: Triangles img 21\" width=\"154\" height=\"65\" \/><br \/>\n\u25b3 __________<br \/>\n\u2220 __________<\/p>\n<p>Answer:<br \/>\n\u25b3 &#8211; Scalene<br \/>\n\u2220 &#8211; Obtuse<\/p>\n<p>Explanation:<br \/>\nThe 3 sides of the triangle are unequal. If three sides of the triangle are different it is known as Scalene. The angles are more than 90\u00b0 thus the angle is known as an obtuse angle.<\/p>\n<p><strong>A triangle has sides with the lengths and angle measures given.<\/strong><\/p>\n<p><strong>Classify each triangle. Write isosceles, scalene, or equilateral.<\/strong><\/p>\n<p><strong>Then write acute, obtuse, or right.<\/strong><\/p>\n<p>Question 7.<br \/>\nsides: 3.5 cm, 6.2 cm, 3.5 cm<br \/>\nangles: 27\u00b0, 126\u00b0, 27\u00b0<br \/>\n\u25b3 __________<br \/>\n\u2220 __________<\/p>\n<p>Answer:<br \/>\n\u25b3 &#8211; Isosceles<br \/>\n\u2220 &#8211; Obtuse<\/p>\n<p>Explanation:<br \/>\nThe 2 sides of the triangle are equal and the third side is not equal. If two sides of the triangle are different it is known as Isosceles. One of the angle is more than 90\u00b0 thus the angle is known as an obtuse angle.<\/p>\n<p>Question 8.<br \/>\nsides: 2 in., 5 in., 3.8 in.<br \/>\nangles: 43\u00b0, 116\u00b0, 21\u00b0<br \/>\n\u25b3 __________<br \/>\n\u2220 __________<\/p>\n<p>Answer:<br \/>\n\u25b3 &#8211; Scalene<br \/>\n\u2220 &#8211; Obtuse<\/p>\n<p>Explanation:<br \/>\nThe 3 sides of the triangle are unequal. If three sides of the triangle are different it is known as Scalene. One of the angle is more than 90\u00b0 thus the angle is known as an obtuse angle.<\/p>\n<p>Question 9.<br \/>\nCircle the figure that does not belong.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-22.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 2: Triangles img 22\" width=\"436\" height=\"89\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-6643\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-22-1-300x61.jpg\" alt=\"Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-22\" width=\"300\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-22-1-300x61.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-22-1.jpg 436w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><a id=\"Problem_Solving_Lesson_2_Triangles_Page_No_646\"><\/a>Problem Solving &#8211; Lesson 2: Triangles &#8211; Page No. 646<\/h3>\n<p>Question 10.<br \/>\nDraw 2 equilateral triangles that are congruent and share a side. What polygon is formed? Is it a regular polygon?<br \/>\nWhat polygon is formed? __________<br \/>\nIs it a regular polygon? __________<\/p>\n<p>Answer:<br \/>\nThe name for the polygon is Quadrilateral.<br \/>\nIn a regular polygon, all sides are congruent and all angles are congruent.<\/p>\n<p>Question 11.<br \/>\nWhat\u2019s the Error? Shannon said that a triangle with exactly 2 congruent sides and an obtuse angle is an equilateral obtuse triangle. Describe her error.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer: All angles of an equilateral triangle are acute. You cannot have an obtuse angle in an equilateral angle. And all of the angles must be congruent.<\/p>\n<p>Question 12.<br \/>\nTest Prep Which kind of triangle has exactly 2 congruent sides?<br \/>\nOptions:<br \/>\na. isosceles<br \/>\nb. equilateral<br \/>\nc. scalene<br \/>\nd. right<\/p>\n<p>Answer: isosceles<\/p>\n<p>Explanation:<br \/>\nAn isosceles triangle, therefore, has both two equal sides and two equal angles.<br \/>\nThus the correct answer is option A.<\/p>\n<p><strong>Connect to Science<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-23.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 2: Triangles img 23\" width=\"520\" height=\"185\" \/><\/p>\n<p><strong>Classify the triangles in the structures below. Write isosceles, scalene, or equilateral. Then write acute, obtuse, or right.<\/strong><\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-24.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 2: Triangles img 24\" width=\"226\" height=\"157\" \/><br \/>\n\u25b3 __________<br \/>\n\u2220 __________<\/p>\n<p>Answer:<br \/>\n\u25b3 &#8211; Equilateral triangle<br \/>\n\u2220 &#8211; Acute<\/p>\n<p>Explanation:<br \/>\nFrom the figure, we can see an equilateral triangle. In an equilateral triangle, all sides will be less than 90\u00b0. So it is an acute angle.<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-25.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 2: Triangles img 25\" width=\"229\" height=\"160\" \/><br \/>\n\u25b3 __________<br \/>\n\u2220 __________<\/p>\n<p>Answer:<br \/>\n\u25b3 &#8211; Scalene triangle<br \/>\n\u2220 &#8211; Right<\/p>\n<p>Explanation:<br \/>\nIn the above figure, we can see a right-angle triangle. The three sides of the above triangle is different. So, it is known as the scalene triangle.<\/p>\n<h3><a id=\"Share_and_Show_Lesson_3_Quadrilaterals_Page_No_651\"><\/a>Share and Show &#8211; Lesson 3: Quadrilaterals &#8211; Page No. 651<\/h3>\n<p>Question 1.<br \/>\nUse quadrilateral ABCD to answer each question. Complete the sentence.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-26.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 3: Quadrilaterals img 26\" width=\"173\" height=\"105\" \/><br \/>\na. Measure the sides. Are any of the sides congruent?<br \/>\nMark any congruent sides.<br \/>\n_____<\/p>\n<p>Answer: Yes<\/p>\n<p>Explanation:<br \/>\nThe above figure consists of same sides. Thus the above Quadrilateral is congruent.<\/p>\n<p>Question 1.<br \/>\nb. How many right angles, if any, does the quadrilateral have?<br \/>\n_____<\/p>\n<p>Answer: 0<\/p>\n<p>The above figure doesn&#8217;t have any straight line. Thus the above figure has 0 right angles.<\/p>\n<p>Question 1.<br \/>\nc. How many pairs of parallel sides, if any, does the quadrilateral have?<br \/>\n_____ pairs<\/p>\n<p>Answer: 2<\/p>\n<p>Explanation:<br \/>\nThe above has two parallel sides. Yes, the Quadrilateral has the parallel sides.<\/p>\n<p>Question 1.<br \/>\nSo, quadrilateral ABCD is a ______________ .<br \/>\n_________<\/p>\n<p>Answer: Parallelogram<\/p>\n<p>Explanation:<br \/>\nA parallelogram is a special trapezoid with opposite sides are equal.<\/p>\n<p><strong>Classify the quadrilateral in as many ways as possible.<\/strong><\/p>\n<p><strong>Write quadrilateral, parallelogram, rectangle, rhombus, square, or trapezoid.<\/strong><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-27.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 3: Quadrilaterals img 27\" width=\"147\" height=\"84\" \/><br \/>\n1. _________<br \/>\n2. _________<br \/>\n3. _________<\/p>\n<p>Answer:<br \/>\nThe possible ways of Quadrilateral are:<br \/>\n1. Rectangle<br \/>\n2. Parallelogram<br \/>\n3. Quadrilateral<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-28.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 3: Quadrilaterals img 28\" width=\"127\" height=\"83\" \/><br \/>\n1. _________<br \/>\n2. _________<\/p>\n<p>Answer:<br \/>\nThe possible ways of Quadrilateral are:<br \/>\n1. Quadrilateral<br \/>\n2. Trapezoid<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Classify the quadrilateral in as many ways as possible.<\/strong><\/p>\n<p><strong>Write quadrilateral, parallelogram, rectangle, rhombus, square, or trapezoid.<\/strong><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-29.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 3: Quadrilaterals img 29\" width=\"102\" height=\"104\" \/><br \/>\n1. _________<br \/>\n2. _________<br \/>\n3. _________<br \/>\n4. _________<br \/>\n5. _________<\/p>\n<p>Answer:<br \/>\nThe possible ways of Quadrilateral for the above figure are:<br \/>\n1. Square<br \/>\n2. Quadrilateral<br \/>\n3. Parallelogram<br \/>\n4. Rectangle<br \/>\n5. Rhombus<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-30.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 3: Quadrilaterals img 30\" width=\"137\" height=\"88\" \/><br \/>\n1. _________<br \/>\n2. _________<\/p>\n<p>Answer:<br \/>\nThe possible ways of Quadrilateral for the above figure are:<br \/>\n1. Trapezoid<br \/>\n2. Parallelogram<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-31.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 3: Quadrilaterals img 31\" width=\"114\" height=\"96\" \/><br \/>\n1. _________<br \/>\n2. _________<br \/>\n3. _________<\/p>\n<p>Answer:<br \/>\nThe possible ways of Quadrilateral for the above figure are:<br \/>\n1. Rhombus<br \/>\n2. Parallelogram<br \/>\n3. Square<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-32.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 3: Quadrilaterals img 32\" width=\"59\" height=\"113\" \/><br \/>\n1. _________<br \/>\n2. _________<\/p>\n<p>Answer:<br \/>\nThe possible ways of Quadrilateral for the above figure are:<br \/>\n1. Rectangle<br \/>\n2. Parallelogram<\/p>\n<h3><a id=\"Problem_Solving_Lesson_3_Quadrilaterals_Page_No_652\"><\/a>Problem Solving &#8211; Lesson 3: Quadrilaterals &#8211; Page No. 652<\/h3>\n<p><strong>Solve the problems.<\/strong><\/p>\n<p>Question 8.<br \/>\nA quadrilateral has exactly 2 congruent sides. Which quadrilateral types could it be? Which quadrilaterals could it not be?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: A rectangle has 2 congruent sides.<\/p>\n<p>Explanation:<br \/>\nThe type of quadrilateral that has two congruent sides is a rectangle.<\/p>\n<p>Question 9.<br \/>\nWhat\u2019s the Error? A quadrilateral has exactly 3 congruent sides. Davis claims that the figure must be a rectangle. Why is his claim incorrect? Use a diagram to explain your answer.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: Daviss&#8217;s claim is incorrect because a rectangle does not have three congruent sides.<\/p>\n<p>Question 10.<br \/>\nThe opposite corners of a quadrilateral are right angles. The quadrilateral is not a rhombus. What kind of quadrilateral is this figure? Explain how you know.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<\/p>\n<p>It depends, is it just one set of opposite angles that are right angles? Then it could be just a quadrilateral, or it could be a kite, or it could be a rectangle. Because a Quadrilateral is the least restrictive, the best answer is. \u201cIt is a quadrilateral\u201d.<br \/>\nOr is it both sets of opposite angles are right angles? Then it can only be a \u201crectangle, that is not a square\u201d.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6654\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-solution-img-1.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 solution img-1\" width=\"236\" height=\"236\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-solution-img-1.jpg 236w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-solution-img-1-150x150.jpg 150w\" sizes=\"(max-width: 236px) 100vw, 236px\" \/><\/p>\n<p>Question 11.<br \/>\nI am a figure with four sides. I can be placed in the following categories: quadrilateral, parallelogram, rectangle, rhombus, and square. Draw me. Explain why I fit into each category.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: Square<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6655\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-5th-Grade-Solution-Key-Chapter-11-img-2.jpg\" alt=\"Go Math 5th Grade Solution Key Chapter 11 img-2\" width=\"143\" height=\"131\" \/><\/p>\n<p>Question 12.<br \/>\nTest Prep A quadrilateral has exactly 1 pair of parallel sides and no congruent sides. What type of quadrilateral is it?<br \/>\nOptions:<br \/>\na. rectangle<br \/>\nb. rhombus<br \/>\nc. parallelogram<br \/>\nd. trapezoid<\/p>\n<p>Answer: Trapezoid<\/p>\n<p>Explanation:<br \/>\nA quadrilateral with one pair of parallel sides is a trapezoid.<br \/>\nThus the correct answer is option D.<\/p>\n<h3><a id=\"Share_and_Show_Lesson_4_Properties_of_Two_Dimensional_Figures_Page_No_455\"><\/a>Share and Show &#8211; Lesson 4: Properties of Two-Dimensional Figures &#8211; Page No. 455<\/h3>\n<p>Question 1.<br \/>\nErica thinks that triangle X Y Z, below, has two congruent sides, but she does not have a ruler to measure the sides. Are two sides congruent?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-33.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Properties of Two-Dimensional Figures img 33\" width=\"158\" height=\"155\" \/><br \/>\nFirst, trace the triangle and cut out the tracing.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6656\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-22-1-1.jpg\" alt=\"Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-22 (1)\" width=\"90\" height=\"89\" \/><\/p>\n<p>Question 1.<br \/>\nThen, fold the triangle to match each pair of sides to determine if at least two of the sides are congruent. As you test the sides, record or draw the results for each pair to make sure that you have checked all pairs of sides. Possible drawings are shown.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Question 1.<br \/>\nFinally, answer the question.<br \/>\n______<\/p>\n<p>Answer: Yes<\/p>\n<p>Question 2.<br \/>\nWhat if Erica also wants to show, without using a protractor, that the triangle has one right angle and two acute angles? Explain how she can show this.<\/p>\n<p>Answer:<br \/>\nThe sum of three angles = 180<br \/>\nIf one of the angles is 90 then the other two angles will be acute angles.<\/p>\n<p>Question 3.<br \/>\nDecember, January, and February were the coldest months in Kristen\u2019s town last year. February was the warmest of these months. December was not the coldest. What is the order of these months from coldest to warmest?<br \/>\nColdest: _________<br \/>\n_________<br \/>\nWarmest: _________<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nColdest: <span style=\"text-decoration: underline;\">January<\/span><br \/>\n<span style=\"text-decoration: underline;\">December<\/span><br \/>\nWarmest:\u00a0February<\/p>\n<p>Explanation:<br \/>\nJanuary and December are the coldest months of the year depending on the direction of the wind. February is the warmest month among these months.<\/p>\n<p>Question 4.<br \/>\nJan enters a 20-foot by 30-foot rectangular room. The long sides face north and south. Jan enters the exact center of the south side and walks 10 feet north. Then she walks 8 feet east. How far is she from the east side of the room?<br \/>\n______ ft<\/p>\n<p>Answer: 7 feet<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nJan enters a 20-foot by 30-foot rectangular room.<br \/>\nThe long sides face north and south.<br \/>\nJan enters the exact center of the south side and walks 10 feet north.<br \/>\nThen she walks 8 feet east.<br \/>\nJan is 7 feet from the east wall in the room.<\/p>\n<h3><a id=\"On_Your_Own_Lesson_4_Properties_of_Two_Dimensional_Figures_Page_No_456\"><\/a>On Your Own &#8211; Lesson 4: Properties of Two-Dimensional Figures &#8211; Page No. 456<\/h3>\n<p>Question 5.<br \/>\nMax drew a grid to divide a piece of paper into 18 congruent squares, as shown. What is the least number of lines Max can draw to divide the grid into 6 congruent rectangles?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-34.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Properties of Two-Dimensional Figures img 34\" width=\"158\" height=\"84\" \/><br \/>\n______ lines<\/p>\n<p>Answer: 3 lines<\/p>\n<p>Explanation:<br \/>\nFrom the above figure, we can see that there are 18 congruent squares.<br \/>\nTo find the least number of lines Max can draw we have to divide number of squares by number of congruent rectangles<br \/>\n18 \u00f7 6 = 3<br \/>\nThus the least number of lines that Max can Draw is 3 lines.<\/p>\n<p>Question 6.<br \/>\nOf the 95 fifth and sixth graders going on a field trip, there are 27 more fifth-graders than sixth graders. How many fifth graders are going on the field trip?<br \/>\n5th graders = ______<\/p>\n<p>Answer: 61<\/p>\n<p>Explanation:<br \/>\nSince we are not told how many 6th graders are going on the trip let&#8217;s use a variable, the letter x.<br \/>\nNow let&#8217;s understand the problem in the &#8220;math&#8221; language.<br \/>\nx= the number of 6th graders.<br \/>\nX+27= the number of 5th graders since there are 27 more fifth-graders than sixth graders.<br \/>\nx+x+27 = 95<br \/>\n2x+27=95<br \/>\n-27 -27<br \/>\n2x+ 0 =68<br \/>\n2x=68<br \/>\ndivide by 2 on both sides.<br \/>\nx = 34<br \/>\nNow, remember how x+27 = the number of 5th graders going on the trip?<br \/>\nSince we know that x=34, substitute the x as 34+27 which = 61 fifth graders going on the trip.<\/p>\n<p><strong>Use the map to solve 7\u20138.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-35.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Properties of Two-Dimensional Figures img 35\" width=\"285\" height=\"206\" \/><\/p>\n<p>Question 7.<br \/>\nSam\u2019s paper route begins and ends at the corner of Redwood Avenue and Oak Street. His route is made up of 4 streets, and he makes no 90\u00b0 turns. What kind of polygon do the streets of Sam\u2019s paper route form? Name the streets in Sam\u2019s route.<br \/>\n_________<\/p>\n<p>Answer: Parallelogram<\/p>\n<p>Explanation:<br \/>\nGiven that, Sam\u2019s paper route begins and ends at the corner of Redwood Avenue and Oak Street. His route is made up of 4 streets, and he makes no 90\u00b0 turns.<br \/>\nBy following the route map we can say that the polygon is a parallelogram.<\/p>\n<p>Question 8.<br \/>\nSam\u2019s paper route includes all 32 houses on two pairs of parallel streets. If each street has the same number of houses, how many houses are on each street?<br \/>\nName the parallel streets.<br \/>\n______ houses on each street<\/p>\n<p>Answer: 8<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nSam\u2019s paper route includes all 32 houses on two pairs of parallel streets.<br \/>\nIf each street has same number of houses we have to divide 32 by 4<br \/>\n32 \u00f7 4 = 8<br \/>\nThus there are 8 houses on each street.<\/p>\n<p>Question 8.<br \/>\nTest Prep Which figure below is a quadrilateral that has opposite sides that are congruent and parallel?<br \/>\nOptions:<br \/>\na. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-36.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Properties of Two-Dimensional Figures img 36\" width=\"73\" height=\"68\" \/><br \/>\nb. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-37.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Properties of Two-Dimensional Figures img 37\" width=\"75\" height=\"71\" \/><br \/>\nc. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-38.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Properties of Two-Dimensional Figures img 38\" width=\"75\" height=\"73\" \/><br \/>\nd. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-39.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Properties of Two-Dimensional Figures img 39\" width=\"154\" height=\"72\" \/><\/p>\n<p>Answer: <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-37.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Properties of Two-Dimensional Figures img 37\" width=\"75\" height=\"71\" \/><\/p>\n<p>Explanation:<br \/>\nSquare is a type of quadrilateral that has opposite sides that are congruent and parallel.<br \/>\nThus the correct answer is option B.<\/p>\n<h3><a id=\"Share_and_Show_Lesson_4_Properties_of_Two_Dimensional_Figures_Page_No_656\"><\/a>Share and Show &#8211; Lesson 4: Properties of Two-Dimensional Figures &#8211; Page No. 656<\/h3>\n<p><strong>Classify the solid figure. Write prism, pyramid, cone, cylinder, or sphere.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-40.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 40\" width=\"128\" height=\"62\" \/><br \/>\n_________<\/p>\n<p>Answer: Triangular prism<\/p>\n<p>Explanation:<br \/>\nA triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise, it is oblique.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-41.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 41\" width=\"73\" height=\"73\" \/><br \/>\n_________<\/p>\n<p>Answer: Sphere<\/p>\n<p>Explanation:<br \/>\nA sphere has no bases and 1 curved surface.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-42.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 42\" width=\"96\" height=\"74\" \/><br \/>\n_________<\/p>\n<p>Answer: Hexagonal Base Pyramid<\/p>\n<p>Explanation:<br \/>\nA pyramid that has a hexagonal base, that is, base with six sides and 6 triangular lateral faces, then it is a hexagonal pyramid.<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-43.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 43\" width=\"97\" height=\"71\" \/><br \/>\n_________<\/p>\n<p>Answer: Pentagonal prism<\/p>\n<p>Explanation:<br \/>\nA pentagonal prism is a prism that has two pentagonal bases like top and bottom and five rectangular sides. It is a type of heptahedron with 7 faces, 10 vertices, and 15 edges.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-44.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 44\" width=\"87\" height=\"72\" \/><br \/>\n_________<\/p>\n<p>Answer: Pentagonal Base Pyramid<\/p>\n<p>Explanation:<br \/>\nIn geometry, a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-45.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 45\" width=\"87\" height=\"74\" \/><br \/>\n_________<\/p>\n<p>Answer: Cylinder<\/p>\n<p>Explanation:<br \/>\nA cylinder has 2 congruent circular bases and 1 curved surface.<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Classify the solid figure. Write prism, pyramid, cone, cylinder, or sphere.<\/strong><\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-46.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 46\" width=\"101\" height=\"73\" \/><br \/>\n_________<\/p>\n<p>Answer: Rectangular prism<\/p>\n<p>Explanation:<br \/>\nA rectangular prism is a polyhedron with two congruent and parallel bases. It is also a cuboid. It has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-47.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 47\" width=\"133\" height=\"67\" \/><br \/>\n_________<\/p>\n<p>Answer: Cylinder<\/p>\n<p>Explanation:<br \/>\nA cylinder has 2 congruent circular bases and 1 curved surface.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-48.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 48\" width=\"72\" height=\"74\" \/><br \/>\n_________<\/p>\n<p>Answer: Cone<\/p>\n<p>Explanation:<br \/>\nA cone has 1 circular base and 1 curved surface.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-49.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 49\" width=\"65\" height=\"75\" \/><br \/>\n_________<\/p>\n<p>Answer: Triangle base pyramid<\/p>\n<p>Explanation:<br \/>\nA triangle-based pyramid has four triangular sides. The base can be any shape or size of the triangle but usually, it is an equilateral triangle. This means the three sides of the pyramid are the same size as each other and the pyramid looks the same if you rotate it.<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-50.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 50\" width=\"139\" height=\"76\" \/><br \/>\n_________<\/p>\n<p>Answer: Rectangular prism<\/p>\n<p>Explanation:<br \/>\nA rectangular prism is a polyhedron with two congruent and parallel bases. It is also a cuboid. It has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-51.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 51\" width=\"49\" height=\"76\" \/><br \/>\n_________<\/p>\n<p>Answer: Triangular prism<\/p>\n<p>Explanation:<br \/>\nA prism\u2019s base shape is used to name the solid figure. The base shape of this prism is a triangle. The prism is a triangular prism.<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-52.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 52\" width=\"102\" height=\"86\" \/><br \/>\n_________<\/p>\n<p>Answer: Hexagonal Prism<\/p>\n<p>Explanation:<br \/>\nIn geometry, the hexagonal prism is a prism with a hexagonal base. This polyhedron has 8 faces, 18 edges, and 12 vertices. Since it has 8 faces, it is an octahedron. However, the term octahedron is primarily used to refer to the regular octahedron, which has eight triangular faces.<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-53.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 53\" width=\"100\" height=\"91\" \/><br \/>\n_________<\/p>\n<p>Answer: Square Pyramid<\/p>\n<p>Explanation:<br \/>\nIn geometry, a square pyramid is a pyramid having a square base. If the apex is perpendicularly above the center of the square, it is a right square pyramid and has symmetry. If all edges are equal, it is an equilateral square pyramid.<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-54.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 54\" width=\"92\" height=\"76\" \/><br \/>\n_________<\/p>\n<p>Answer: Octogonal Prism<\/p>\n<p>Explanation:<br \/>\nIn geometry, the octagonal prism is the sixth in an infinite set of prisms, formed by square sides and two regular octagon caps. If faces are all regular, it is a semiregular polyhedron.<\/p>\n<h3><a id=\"Problem_Solving_Lesson_4_Properties_of_Two_Dimensional_Figures_Page_No_657\"><\/a>Problem Solving &#8211; Lesson 4: Properties of Two-Dimensional Figures &#8211; Page No. 657<\/h3>\n<p>Question 16.<br \/>\nMario is making a sculpture out of stone. He starts by carving a base with five sides. He then carves five triangular lateral faces that all meet at a point at the top. What three-dimensional figure does Mario make?<br \/>\n_________<\/p>\n<p>Answer: Pentagonal Pyramid<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nMario is making a sculpture out of stone.<br \/>\nHe starts by carving a base with five sides.<br \/>\nHe then carves five triangular lateral faces that all meet at a point at the top.<br \/>\nThe polygon which has 5 sides is a pentagon.<br \/>\nThe three-dimensional figure which meets at the same point is the pyramid.<br \/>\nThe 3-dimensional figure that Mario makes is Pentagonal Pyramid<br \/>\nSo, the answer to the above question is Pentagonal Pyramid.<\/p>\n<p>Question 17.<br \/>\nWhat is another name for a cube? Explain your reasoning.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: The cube can also be called a regular hexahedron. It is one of the five regular polyhedrons, which are also sometimes referred to as the Platonic solids.<\/p>\n<p><strong>Connect to Reading<\/strong><\/p>\n<p>Example Read the description. Underline the details you need to identify the solid figure that will name the correct building.<\/p>\n<p>This building is one of the most identifiable structures in its city\u2019s skyline. It has a square foundation and 28 floors. The building has four triangular exterior faces that meet at a point at the top of the structure.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-55.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 55\" width=\"180\" height=\"102\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-56.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 56\" width=\"200\" height=\"103\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-57.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 4: Three-Dimensional Figures img 57\" width=\"185\" height=\"102\" \/><\/p>\n<p><strong>Identify the solid figure and name the correct building.<\/strong><\/p>\n<p>Question 18.<br \/>\nSolve the problem in the Example.<br \/>\nSolid figure: _________<br \/>\nBuilding: _________<\/p>\n<p>Answer:<br \/>\ni. Pyramid<br \/>\nii. Luxor Hotel-Las Vegas-Nevada<\/p>\n<p>Explanation:<br \/>\nThe 3rd figure is in the form of a pyramid. The name of the pyramid-shaped building is Luxor Hotel-Las Vegas-Nevada.<\/p>\n<p>Question 19.<br \/>\nThis building was completed in 1902. It has a triangular foundation and a triangular roof that are the same size and shape. The three sides of the building are rectangles.<br \/>\nSolid figure: _________<br \/>\nBuilding: _________<\/p>\n<p>Answer:<br \/>\ni. prism<br \/>\nii. Flatiron Building-New York City-New York<\/p>\n<p>Explanation:<br \/>\nThe triangle-shaped figure is in the form of a prism. The name of the triangular prism building is Flatiron Building-New York, City-New York.<\/p>\n<h3><a id=\"Mid_Chapter_Review_Page_No_661\"><\/a>Mid-Chapter Review &#8211; Vocabulary &#8211; Page No. 661<\/h3>\n<p><strong>Choose the best term from the box.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-58.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 58\" width=\"184\" height=\"126\" \/><\/p>\n<p>Question 1.<br \/>\nA closed plane figure with all sides congruent and all angles congruent is called a ________ .<br \/>\n_________<\/p>\n<p>Answer: Regular Polygon<\/p>\n<p>Question 2.<br \/>\nLine segments that have the same length or angles that have the same measure are __________ .<br \/>\n_________<\/p>\n<p>Answer: Congruent<\/p>\n<p><strong>Concepts and Skills<\/strong><\/p>\n<p><strong>Name each polygon. Then tell whether it is a regular polygon or not a regular polygon.<\/strong><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-59.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 59\" width=\"76\" height=\"69\" \/><br \/>\nName: _________<br \/>\nType: _________<\/p>\n<p>Answer:<br \/>\ni. Hexagon<br \/>\nii. Regular Polygon<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-60.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 60\" width=\"51\" height=\"62\" \/><br \/>\nName: _________<br \/>\nType: _________<\/p>\n<p>Answer:<br \/>\ni. Triangle<br \/>\nii. Non-Regular<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-61.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 61\" width=\"79\" height=\"51\" \/><br \/>\nName: _________<br \/>\nType: _________<\/p>\n<p>Answer:<br \/>\ni. Pentagon<br \/>\nii. Not Regular<\/p>\n<p><strong>Classify each triangle. Write isosceles, scalene, or equilateral.<\/strong><\/p>\n<p><strong>Then write acute, obtuse, or right.<\/strong><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-62.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 62\" width=\"76\" height=\"68\" \/><br \/>\n\u25b3 _________<br \/>\n\u2220 _________<\/p>\n<p>Answer:<br \/>\ni. Equilateral<br \/>\nii. Acute<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-63.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 63\" width=\"86\" height=\"85\" \/><br \/>\n\u25b3 _________<br \/>\n\u2220 _________<\/p>\n<p>Answer:<br \/>\ni. Isosceles<br \/>\nii. Right<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-64-1.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 64\" width=\"119\" height=\"39\" \/><br \/>\n\u25b3 _________<br \/>\n\u2220 _________<\/p>\n<p>Answer:<br \/>\ni. Isosceles<br \/>\nii. Obtuse<\/p>\n<p><strong>Classify the quadrilateral in as many ways as possible. Write quadrilateral, parallelogram, rectangle, rhombus, square, or trapezoid.<\/strong><\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-65.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 65\" width=\"63\" height=\"52\" \/><br \/>\n1. _________<br \/>\n2. _________<\/p>\n<p>Answer:<br \/>\n1. Quadrilateral<br \/>\n2. Trapezoid<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-66.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 66\" width=\"80\" height=\"43\" \/><br \/>\n1. _________<br \/>\n2. _________<br \/>\n3. _________<\/p>\n<p>Answer:<br \/>\n1. Quadrilateral<br \/>\n2. Parallelogram<br \/>\n3. Rectangle<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-67.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 67\" width=\"60\" height=\"58\" \/><br \/>\n1. _________<br \/>\n2. _________<br \/>\n3. _________<br \/>\n4. _________<br \/>\n5. _________<\/p>\n<p>Answer:<br \/>\n1. Quadrilateral<br \/>\n2. Parallelogram<br \/>\n3. Rhombus<br \/>\n4. Rectangle<br \/>\n5. Square<\/p>\n<h3><a id=\"Mid_Chapter_Review_Page_No_662\"><\/a>Mid-Chapter Review &#8211; Page No. 662<\/h3>\n<p><strong>Fill in the bubble completely to show your answer.<\/strong><\/p>\n<p>Question 12.<br \/>\nWhat type of triangle is shown below?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-68.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 68\" width=\"85\" height=\"85\" \/><br \/>\nOptions:<br \/>\na. right isosceles<br \/>\nb. right scalene<br \/>\nc. equilateral<br \/>\nd. obtuse scalene<\/p>\n<p>Answer: right isosceles<\/p>\n<p>Explanation:<br \/>\nThe above figure is a right angle and the two sides of the triangle are equal. The above figure is a right isosceles.<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 13.<br \/>\nClassify the quadrilateral in as many ways as possible.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-69.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 69\" width=\"122\" height=\"123\" \/><br \/>\nOptions:<br \/>\na. quadrilateral, parallelogram, rhombus<br \/>\nb. quadrilateral, parallelogram, rhombus, trapezoid<br \/>\nc. quadrilateral, parallelogram, rhombus, rectangle, trapezoid, square<br \/>\nd. quadrilateral, parallelogram, rhombus, rectangle, square<\/p>\n<p>Answer: quadrilateral, parallelogram, rhombus, rectangle, square<\/p>\n<p>Question 14.<br \/>\nClassify the following figure.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-70.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Mid-Chapter Review img 70\" width=\"170\" height=\"82\" \/><br \/>\nOptions:<br \/>\na. cone<br \/>\nb. cube<br \/>\nc. rectangular prism<br \/>\nd. rectangular pyramid<\/p>\n<p>Answer: rectangular prism<\/p>\n<p>Explanation:<br \/>\nThe 3-dimensional figure of the above rectangle is a rectangular prism.<br \/>\nThus the correct answer is option C.<\/p>\n<h3><a id=\"Share_and_Show_Lesson 5_Unit_Cubes_and_Solid_Figures_Page_No_665\"><\/a>Share and Show &#8211; Lesson 5: Unit Cubes and Solid Figures &#8211; Page No. 665<\/h3>\n<p><strong>Count the number of cubes used to build each solid figure.<\/strong><\/p>\n<p>Question 1.<br \/>\nThe rectangular prism is made up of _____ unit cubes.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-71.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 71\" width=\"99\" height=\"48\" \/><br \/>\n______<\/p>\n<p>Answer: 3<\/p>\n<p>Explanation:<br \/>\nBy seeing the above figure we can say that the rectangular prism has 3 unit cubes.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-72.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 72\" width=\"149\" height=\"98\" \/><br \/>\n______ unit cubes<\/p>\n<p>Answer: 15<\/p>\n<p>Explanation:<br \/>\nThe above figure shows that there are 5 congruent squares of 3 lines.<br \/>\n5 \u00d7 3 = 15 unit cubes<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-73.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 73\" width=\"122\" height=\"98\" \/><br \/>\n______ unit cubes<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<br \/>\nThe above figure shows that there are 4 congruent squares of 3 lines.<br \/>\n4 \u00d7 3 = 12 unit cubes<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-74.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 74\" width=\"109\" height=\"85\" \/><br \/>\n______ unit cubes<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<br \/>\nThe above figure shows that there are 6 congruent squares of 2 lines.<br \/>\n6 \u00d7 2 = 12<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-75.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 75\" width=\"96\" height=\"73\" \/><br \/>\n______ unit cubes<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<br \/>\nBy seeing the above figure we can say that there are 5 unit cubes.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-76.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 76\" width=\"124\" height=\"76\" \/><br \/>\n______ unit cubes<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nThere are 6 congruent squares in the above figure.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-77.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 77\" width=\"125\" height=\"99\" \/><br \/>\n______ unit cubes<\/p>\n<p>Answer: 7<\/p>\n<p>Explanation:<br \/>\nThe figure shows that there are 7 unit cubes.<\/p>\n<p>Question 8.<br \/>\nHow are the rectangular prisms in Exercises 3\u20134 related? Can you show a different rectangular prism with the same relationship? Explain.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-6657\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-key-Chapter-11-solution-img-3-300x190.png\" alt=\"Go Math Grade 5 key Chapter 11 solution img-3\" width=\"300\" height=\"190\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-key-Chapter-11-solution-img-3-300x190.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-key-Chapter-11-solution-img-3.png 468w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nA rectangular prism is a polyhedron with two congruent and parallel bases. It is also a cuboid. It has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.<\/p>\n<p><strong>Compare the number of unit cubes in each solid figure. Use &lt; , &gt; or =.<\/strong><\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-78.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 78\" width=\"96\" height=\"71\" \/> ______ <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-79.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 79\" width=\"72\" height=\"97\" \/><\/p>\n<p>Answer: <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-78.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 78\" width=\"96\" height=\"71\" \/> = <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-79.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 79\" width=\"72\" height=\"97\" \/><\/p>\n<p>Explanation:<br \/>\nThere are 5 cubes in the first figure and there are 5 cubes in the second figure.<br \/>\nThus the figures <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-78.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 78\" width=\"96\" height=\"71\" \/> is equal to <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-79.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 79\" width=\"72\" height=\"97\" \/><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-80.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 80\" width=\"48\" height=\"123\" \/> ______ <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-81.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 81\" width=\"97\" height=\"97\" \/><\/p>\n<p>Answer: <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-80.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 80\" width=\"48\" height=\"123\" \/> &lt; <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-81.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 81\" width=\"97\" height=\"97\" \/><\/p>\n<p>Explanation:<br \/>\nThere are 4 cubes in the first figure and there are 5 cubes in the second figure.<br \/>\n4 is less than 5<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-80.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 80\" width=\"48\" height=\"123\" \/> is less than <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-81.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 81\" width=\"97\" height=\"97\" \/><\/p>\n<h3><a id=\"Lesson 5_Unit_Cubes_and_Solid_Figures_Page_No_666\"><\/a>Lesson 5: Unit Cubes and Solid Figures &#8211; Page No. 666<\/h3>\n<p><strong>Use the information to answer the questions.<\/strong><\/p>\n<p>The Cube Houses of Rotterdam, Netherlands<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-82.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 82\" width=\"299\" height=\"226\" \/><\/p>\n<p>The Nakagin Capsule Tower, Tokyo, Japan<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-83.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 5: Unit Cubes and Solid Figures img 83\" width=\"241\" height=\"315\" \/><\/p>\n<p>Question 11.<br \/>\nThere are 38 Cube Houses. Each house could hold 1,000 unit cubes that are 1 meter by 1 meter by 1 meter. Describe the dimensions of a cube house using unit cubes. Remember that the edges of a cube are all the same length.<br \/>\nEach dimension = ______ meters<\/p>\n<p>Answer: 10 meters<\/p>\n<p>Explanation:<br \/>\nSo each house can hold 1000 cubes that are 1 meter in length.<br \/>\nThe house is also shaped like a cube, so you need to cube-root 1000.<br \/>\nThe cube-root of 1000 is 10. So the cube house has a length, width, and height of 10 meters.<br \/>\nV = lbh<br \/>\nV = 10 m \u00d7 10 m \u00d7 10 m = 1000 cu. meter<br \/>\nThus Each dimension is 10 meters.<\/p>\n<p>Question 12.<br \/>\nThe Nakagin Capsule Tower has 140 modules and is 14 stories high. If all of the modules were divided evenly among the number of stories, how many modules would be on each floor? How many different rectangular prisms could be made from that number?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 10 modules on each floor<\/p>\n<p>Explanation:<br \/>\nThe Nakagin Capsule Tower has 140 modules and is 14 stories high.<br \/>\nDivide 140 modules by 14<br \/>\n140 \u00f7 14 = 10<br \/>\nThus 10 modules would be on each floor.<br \/>\nThe factors of 10 are 1, 2, 5.<br \/>\n1 \u00d7 10 = 10<br \/>\n2 \u00d7 5 = 10<br \/>\nThus 2 different rectangular prisms can be made from 10 unit cubes.<\/p>\n<h3><a id=\"Share_and_Show_Lesson_6_Understand_Volume_Page_No_671\"><\/a>Share and Show &#8211; Lesson 6: Understand Volume &#8211; Page No. 671<\/h3>\n<p><strong>Use the unit given. Find the volume.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-84.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 84\" width=\"188\" height=\"136\" \/><br \/>\nEach cube = 1 cu cm<br \/>\nVolume = ______ cu ______<\/p>\n<p>Answer: 48 cu. cm<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nL = 4cm<br \/>\nB = 4cm<br \/>\nH = 3 cm<br \/>\nWe know that,<br \/>\nThe volume of the cuboid is lbh<br \/>\nV = 4 cm \u00d7 4 cm \u00d7 3 cm = 48 cubic cm<br \/>\nThus the volume for the above cube is 48 cubic cm.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-85.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 85\" width=\"135\" height=\"134\" \/><br \/>\nEach cube = 1 cu in.<br \/>\nVolume = ______ cu ______<\/p>\n<p>Answer: 24 cu. in.<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nL = 3 in<br \/>\nB = 2 in<br \/>\nH = 4 in.<br \/>\nWe know that,<br \/>\nThe volume of the cuboid is lb<br \/>\nV = 3 in \u00d7 2 in \u00d7 4 in = 24 cubic inches<br \/>\nTherefore the volume for the above cube is 24 cubic inches.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-86.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 86\" width=\"200\" height=\"120\" \/><br \/>\nEach cube = 1 cu ft<br \/>\nVolume = ______ cu ______<\/p>\n<p>Answer: 36 cu. ft<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nL = 6 ft<br \/>\nB = 2 ft<br \/>\nH = 3 ft<br \/>\nWe know that,<br \/>\nThe volume of the cuboid is lbh<br \/>\nV = 6 ft \u00d7 2 ft \u00d7 3 ft = 36 cubic feet<br \/>\nV = 36 cu. ft<br \/>\nTherefore the volume for the above figure is 36 cu. ft<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-87.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 87\" width=\"199\" height=\"137\" \/><br \/>\nEach cube = 1 cu in.<br \/>\nVolume = ______ cu ______<\/p>\n<p>Answer: 60 cu. in<\/p>\n<p>Given that,<br \/>\nL = 5 in.<br \/>\nB = 4 in.<br \/>\nH = 3 in.<br \/>\nWe know that,<br \/>\nThe volume of the cuboid is lbh<br \/>\nV = 5 in \u00d7 4 in \u00d7 3 in = 60 cubic inches<br \/>\nThus the volume for the above figure is 60 cu. in.<\/p>\n<p><strong>Compare the volumes. Write &lt; , &gt;, or =.<\/strong><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-88.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 88\" width=\"188\" height=\"121\" \/> ______ <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-89.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 89\" width=\"178\" height=\"117\" \/><\/p>\n<p>Answer: <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-88.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 88\" width=\"188\" height=\"121\" \/> &lt;\u00a0 <img loading=\"lazy\" class=\"\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-89.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 89\" width=\"178\" height=\"117\" \/><\/p>\n<p>Explanation:<br \/>\nFigure 1:<br \/>\nL = 4 cm<br \/>\nB = 4 cm<br \/>\nH = 2 cm<br \/>\nV = 4 \u00d7 4 \u00d7 2 = 32 cu. cm<br \/>\nFigure 2:<br \/>\nL = 4 in<br \/>\nB = 4 in<br \/>\nH = 2 in<br \/>\nV = 4 \u00d7 4 \u00d7 2 = 32 cu. in<br \/>\n32 cu. cm is less than 32 cu. in<br \/>\nThus <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-88.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 88\" width=\"188\" height=\"121\" \/> &lt;\u00a0 <img loading=\"lazy\" class=\"\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-89.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 89\" width=\"178\" height=\"117\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-90.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 90\" width=\"290\" height=\"141\" \/> ______ <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-91.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 91\" width=\"279\" height=\"127\" \/><\/p>\n<p>Answer: <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-90.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 90\" width=\"290\" height=\"141\" \/> &gt; <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-91.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 91\" width=\"279\" height=\"127\" \/><\/p>\n<p>Explanation:<br \/>\nLet us find the volume for both the figures,<br \/>\nFigure 1:<br \/>\nL = 9 ft<br \/>\nB = 4 ft<br \/>\nH = 3 ft<br \/>\nVolume of the cuboid = lbh<br \/>\nV = 9 \u00d7 4 \u00d7 3 = 108 cu. ft<br \/>\nFigure 2:<br \/>\nL = 8 ft<br \/>\nB = 5 ft<br \/>\nH = 2 ft<br \/>\nVolume of the cuboid = lbh<br \/>\nV = 8 ft \u00d7 5 ft \u00d7 3 ft = 120 cu. ft<br \/>\nBy seeing the volume for both the figures we can say that 120 cu. ft is greater than 108 cu. ft<br \/>\nThus, <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-90.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 90\" width=\"290\" height=\"141\" \/> &gt; <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-91.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 91\" width=\"279\" height=\"127\" \/><\/p>\n<h3><a id=\"Problem_Solving_Lesson_6_Understand_Volume_Page_No_672\"><\/a>Problem Solving &#8211; Lesson 6: Understand Volume &#8211; Page No. 672<\/h3>\n<p>Question 7.<br \/>\nWhat\u2019s the Error? Jerry says that a cube with edges that measure 10 centimeters has a volume that is twice as much as a cube with sides that measure 5 centimeters. Explain and correct Jerry\u2019s error.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nLet v1 equal the 10 cm sided cube&#8217;s volume.<br \/>\nLet v2 equal the 5 cm sided cube&#8217;s volume.<br \/>\nv1 = 10 \u00d7 10 10 = 1000 cu. cm<br \/>\nv2 = 5 \u00d7 5 \u00d7 5 = 125 cu. cm<br \/>\nTo find the relationship between the two volumes, divide the first volume by the second.<br \/>\nr = v1 \u00f7 v2<br \/>\nr = 1000 \u00f7 125 = 8<br \/>\nThe volume differ by a factor of 8.<br \/>\nThus the volume differs by a factor of 8, not by a factor of 2.<\/p>\n<p>Question 8.<br \/>\nPattie built a rectangular prism with cubes. The base of her prism has 12 centimeter cubes. If the prism was built with 108 centimeter cubes, how many layers does her prism have? What is the height of her prism?<br \/>\nlayers: ______ the height of the prism: ______ cm<\/p>\n<p>Answer: 9 layers, the height of the prism is 9 cm<\/p>\n<p>Explanation:<br \/>\nGiven:<br \/>\nPattie built a rectangular prism with cubes.<br \/>\nThe base of her prism has 12-centimeter cubes.<br \/>\nThe prism was built with 108 cm cubes.<br \/>\nTo find the layers divide the number of cubes by base of the prism<br \/>\nThat means 108 \u00f7 12<br \/>\n108\/12 = 9<br \/>\nThus the prism has 9 layers.<br \/>\nNow we have to find the base of the prism<br \/>\n108 = b \u00d7 h<br \/>\n12 \u00d7 h = 108<br \/>\nh = 108\/12 = 9<br \/>\nTherefore the height of the prism = 9 cm<\/p>\n<p>Question 9.<br \/>\nA packing company makes boxes with edges each measuring 3 feet. What is the volume of the boxes? If 10 boxes are put in a larger, rectangular shipping container and completely fill it with no gaps or overlaps, what is the volume of the shipping container?<br \/>\nvolume of the boxes: __________ cu ft<br \/>\nvolume of the shipping container = __________ cu ft<\/p>\n<p>Answer:<br \/>\nthe volume of the boxes: 27 cu ft<br \/>\nthe volume of the shipping container = 27 cu ft<\/p>\n<p>Explanation:<br \/>\nA packing company makes boxes with edges each measuring 3 feet.<br \/>\nVolume of the cube = lbh<br \/>\nV = 3 \u00d7 3 \u00d7 3 = 27 cubic feet<br \/>\nThus the volume of the boxes is 27 feet.<br \/>\nThe volume of the boxes for 10 boxes is 27 \u00d7 10 = 270 cubic feet<br \/>\nTherefore the volume of the shipping container is 27 cu ft<\/p>\n<p>Question 10.<br \/>\nTest Prep Find the volume of the rectangular prism.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-92.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 6: Understand Volume img 92\" width=\"214\" height=\"188\" \/><br \/>\nEach cube = 1 cu cm<br \/>\nOptions:<br \/>\na. 25 cubic feet<br \/>\nb. 25 cubic meters<br \/>\nc. 75 cubic meters<br \/>\nd. 75 cubic centimeters<\/p>\n<p>Answer: 75 cubic centimeters<\/p>\n<p>Explanation:<br \/>\nL = 5 cm<br \/>\nB = 3 cm<br \/>\nH = 5 cm<br \/>\nVolume of the rectangular prism is lbh<br \/>\nV = 5 cm \u00d7 3 cm \u00d7 5 cm = 75 cubic centimeter<br \/>\nV = 75 cu. cm<br \/>\nThus the correct answer is option D.<\/p>\n<h3><a id=\"Share_and_Show_Lesson_7_Estimate_Volume_Page_No_677\"><\/a>Share and Show &#8211; Lesson 7: Estimate Volume &#8211; Page No. 677<\/h3>\n<p><strong>Estimate the volume.<\/strong><\/p>\n<p>Question 1.<br \/>\nEach tissue box has a volume of 125 cubic inches.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-93.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 7: Estimate Volume img 93\" width=\"218\" height=\"120\" \/><br \/>\nThere are _______ tissue boxes in the larger box.<br \/>\nThe estimated volume of the box holding the tissue<br \/>\nboxes is ______ \u00d7 125 = _____ cu in.<br \/>\n_____ tissue boxes _____ cu in.<\/p>\n<p>Answer:<br \/>\nGiven that the volume of each box is 125 cubic inches.<br \/>\nBy seeing the above figure we can say that there are 9 boxes in the larger box.<br \/>\nThus there are 9 tissue boxes in the larger box.<br \/>\nNow to find the volume of the tissue boxes.<br \/>\nWe have to multiply the number of boxes with the volume of the box<br \/>\nV = 125 \u00d7 9 = 1125 cubic inches.<br \/>\nTherefore The estimated volume of the box holding the tissue boxes is 1125 cubic inches.<\/p>\n<p>Question 2.<br \/>\nVolume of chalk box: 16 cu in.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-94.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 7: Estimate Volume img 94\" width=\"161\" height=\"112\" \/><br \/>\nVolume of large box: ______________ .<br \/>\n_____ cu in.<\/p>\n<p>Answer:<br \/>\nGiven that, the volume of the chalk box is 16 cubic inches.<br \/>\nFrom the figure, we can see that there are 24 boxes.<br \/>\nThe volume of the large box is 24 \u00d7 16 = 384 cubic inches.<br \/>\nTherefore the estimated volume of the large box is 384 cu in.<\/p>\n<p>Question 3.<br \/>\nVolume of small jewelry box: 30 cu cm<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-95.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 7: Estimate Volume img 95\" width=\"165\" height=\"103\" \/><br \/>\nVolume of large box: __________<br \/>\n_____ cu cm<\/p>\n<p>Answer:<br \/>\nGiven, the volume of the small jewelry box is 30 cu cm<br \/>\nThere are 10 small jewelry boxes.<br \/>\nV = 30 \u00d7 10 = 300 cu. cm<br \/>\nThus the estimated volume of large box is 300 cu. cm<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Estimate the volume.<\/strong><\/p>\n<p>Question 4.<br \/>\nVolume of book: 80 cu in.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-96.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 7: Estimate Volume img 96\" width=\"179\" height=\"116\" \/><br \/>\nVolume of large box: __________<br \/>\n_____ cu in.<\/p>\n<p>Answer:<br \/>\nGiven that, the volume of the book is 80 cu. in<br \/>\nThere are 12 books in the figure.<br \/>\nMultiply the number of books with the volume of each book<br \/>\n= 12 \u00d7 80 = 960 cu. inches<br \/>\nThus the estimated volume of large books is 960 cu in.<\/p>\n<p>Question 5.<br \/>\nVolume of spaghetti box: 750 cu cm<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-97.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 7: Estimate Volume img 97\" width=\"123\" height=\"114\" \/><br \/>\nVolume of large box: ________<br \/>\n_____ cu cm<\/p>\n<p>Answer:<br \/>\nVolume of spaghetti box is 750 cu. cm<br \/>\nVolume = 2 \u00d7 5 \u00d7 4 = 40<br \/>\nNumber of boxes = 40<br \/>\nNow multiply 40 with 750 cu. cm to find the volume of large box<br \/>\nV = 40 \u00d7 750 cu. cm<br \/>\nV = 30000 cubic cm<br \/>\nTherefore the estimated Volume of large box is 30000 cubic cm<\/p>\n<p>Question 6.<br \/>\nVolume of cereal box: 324 cu in.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-98.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 7: Estimate Volume img 98\" width=\"185\" height=\"110\" \/><br \/>\nVolume of large box: __________<br \/>\ncu in.<\/p>\n<p>Answer:<br \/>\nGiven, Volume of a cereal box is 324 cu. in<br \/>\nNumber of boxes is 2 \u00d7 3 \u00d7 3 = 18<br \/>\nThe volume of large box is 18 \u00d7 324 cu. in<br \/>\nV = 18 \u00d7 324 cu. in = 5832 cubic inches<br \/>\nThus the estimated Volume of large box is 5832 cubic inches.<\/p>\n<p>Question 7.<br \/>\nVolume of pencil box: 4,500 cu cm<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-99.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 7: Estimate Volume img 99\" width=\"186\" height=\"109\" \/><br \/>\nVolume of large box: ________<br \/>\n_____ cu cm<\/p>\n<p>Answer:<br \/>\nVolume of pencil box is 4500 cu cm<br \/>\nNumber of pencil boxes = 2 \u00d7 5 = 10<br \/>\nThe volume of large box is 4500 \u00d7 10 = 45000 cu cm<br \/>\nThus the estimated volume of large box is 45000 cu cm<\/p>\n<h3><a id=\"Problem_Solving_Lesson_7_Estimate_Volume_Page_No_678\"><\/a>Problem Solving &#8211; Lesson 7: Estimate Volume &#8211; Page No. 678<\/h3>\n<p><strong>Sense or Nonsense?<\/strong><\/p>\n<p>Question 8.<br \/>\nMarcelle estimated the volume of the two boxes below, using one of his books. His book has a volume of 48 cubic inches. Box 1 holds about 7 layers of books, and Box 2 holds about 14 layers of books. Marcelle says that the volume of either box is about the same.<br \/>\n<img loading=\"lazy\" class=\"\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-100.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 7: Estimate Volume img 100\" width=\"443\" height=\"338\" \/><br \/>\nDoes Marcelle\u2019s statement make sense or is it nonsense?<br \/>\nExplain your answer.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nCalculate the books in box 1<br \/>\nV = lbh<br \/>\nV1 = 2 \u00d7 4 \u00d7 7 = 56 books<br \/>\nCalculate the volume of books in box 2<br \/>\nV = lbh<br \/>\nV2 = 1 \u00d7 4 \u00d7 14 = 56 books<br \/>\nSo, both boxes hold the same number of books.<br \/>\nThus Marcelle\u2019s statement make sense.<\/p>\n<h3><a id=\"Share_and_Show_Lesson_8_Volume_of_Rectangular_Prisms_Page_No_683\"><\/a>Share and Show &#8211; Lesson 8: Volume of Rectangular Prisms &#8211; Page No. 683<\/h3>\n<p><strong>Find the volume.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-101.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 8: Volume of Rectangular Prisms img 101\" width=\"189\" height=\"205\" \/><br \/>\nThe length of the rectangular prism is ______.<br \/>\nThe width is ______. So, the area of the base is ______.<br \/>\nThe height is ______. So, the volume of the prism is ______.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 120 cu. in<\/p>\n<p>Explanation:<br \/>\nFrom the figure, we can say that the length of the rectangular prism is 4 in<br \/>\nThe width of the rectangular prism is 5 in<br \/>\nThe height of the rectangular prism is 6 in.<br \/>\nThe volume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 4 in \u00d7 6 in \u00d7 5 in = 120 cu. in<br \/>\nSo, the volume of the prism is 120 cu. in<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-102.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 8: Volume of Rectangular Prisms img 102\" width=\"141\" height=\"122\" \/><br \/>\nVolume: ______ cu cm<\/p>\n<p>Answer: 18<\/p>\n<p>Explanation:<br \/>\nFrom the figure, we can say that the length of the rectangular prism is 2 cm<br \/>\nThe width of the rectangular prism is 3 cm<br \/>\nThe height of the rectangular prism is 3 cm<br \/>\nThe volume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 2 cm \u00d7 3 cm \u00d7 3 cm = 18 cu. cm<br \/>\nThus the volume of the rectangular prism is 18 cu. cm<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-103.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 8: Volume of Rectangular Prisms img 103\" width=\"138\" height=\"111\" \/><br \/>\nVolume: ______ cu in.<\/p>\n<p>Answer: 12<\/p>\n<p>Explanation:<br \/>\nFrom the figure, we can say that the length of the rectangular prism is 2 in.<br \/>\nThe width of the rectangular prism is 6 in.<br \/>\nThe height of the rectangular prism is 1 in.<br \/>\nThe volume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 2 in \u00d7 6 in \u00d7 1 in<br \/>\nV = 12 Cu in.<br \/>\nThus the volume of the rectangular prism is 12 Cu in.<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Find the volume.<\/strong><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-104.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 8: Volume of Rectangular Prisms img 104\" width=\"159\" height=\"174\" \/><br \/>\nVolume: ______ cu mm<\/p>\n<p>Answer: 24<\/p>\n<p>Explanation:<br \/>\nFrom the figure, we can say that the length of the rectangular prism is 1 mm<br \/>\nThe width of the rectangular prism is 8 mm<br \/>\nThe height of the rectangular prism is 3 mm<br \/>\nThe volume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 1 mm \u00d7 8 mm \u00d7 3 mm<br \/>\nV = 24 Cu. mm<br \/>\nThus the volume of the rectangular prism is 24 Cu. mm<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-105.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 8: Volume of Rectangular Prisms img 105\" width=\"315\" height=\"156\" \/><br \/>\nVolume: ______ cu cm<\/p>\n<p>Answer: 160<\/p>\n<p>Explanation:<br \/>\nFrom the figure, we can say that the length of the rectangular prism is 10 cm<br \/>\nThe width of the rectangular prism is 4 cm<br \/>\nThe height of the rectangular prism is 4 cm<br \/>\nThe volume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 10 cm \u00d7 4 cm \u00d7 4 cm = 160 Cu. cm<br \/>\nThus the volume of the rectangular prism is 160 Cu. cm<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-106.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 8: Volume of Rectangular Prisms img 106\" width=\"203\" height=\"194\" \/><br \/>\nVolume: ______ cu ft<\/p>\n<p>Answer: 150<\/p>\n<p>Explanation:<br \/>\nFrom the figure, we can say that the length of the rectangular prism is 5 ft<br \/>\nThe width of the rectangular prism is 6 ft<br \/>\nThe height of the rectangular prism is 5 ft<br \/>\nThe volume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 5 ft \u00d7 6 ft \u00d7 5 ft<br \/>\nV = 150 Cu. ft<br \/>\nThus the volume of the rectangular prism is 150 Cu. ft<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-107.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 8: Volume of Rectangular Prisms img 107\" width=\"263\" height=\"189\" \/><br \/>\nVolume: ______ cu in.<\/p>\n<p>Answer: 196<\/p>\n<p>Explanation:<br \/>\nFrom the figure, we can say that the length of the rectangular prism is 7 in.<br \/>\nThe width of the rectangular prism is 7 in.<br \/>\nThe height of the rectangular prism is 4 in.<br \/>\nThe volume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 7 in \u00d7 7 in \u00d7 4 in = 196 Cu. in<br \/>\nThus the volume of the rectangular prism is 196 Cu. in<\/p>\n<h3><a id=\"UNLOCK_the_Problem_Lesson_8_Volume_of_Rectangular_Prisms_Page_No_684\"><\/a>UNLOCK the Problem &#8211; Lesson 8: Volume of Rectangular Prisms &#8211; Page No. 684<\/h3>\n<p>Question 8.<br \/>\nRich is building a travel crate for his dog, Thomas, a beagle mix who is about 30 inches long, 12 inches wide, and 24 inches tall. For Thomas to travel safely, his crate needs to be a rectangular prism that is about 12 inches greater than his length and width, and 6 inches greater than his height. What is the volume of the travel crate that Rich should build?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-108.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 8: Volume of Rectangular Prisms img 108\" width=\"263\" height=\"180\" \/><br \/>\na. What do you need to find to solve the problem?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: We need to find the volume of the travel crate that Rich should build.<\/p>\n<p>Question 8.<br \/>\nb. How can you use Thomas\u2019s size to help you solve the problem?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: Thomas\u2019s size helps to find the length, width and height of the dog crate.<\/p>\n<p>Question 8.<br \/>\nc. What steps can you use to find the size of Thomas\u2019s crate?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nRich is building a travel crate for his dog, Thomas, a beagle mix who is about 30 inches long, 12 inches wide, and 24 inches tall.<br \/>\nFor Thomas to travel safely, his crate needs to be a rectangular prism that is about 12 inches greater than his length and width, and 6 inches greater than his height.<br \/>\nLength of the dog crate is 30 in + 12 in = 42 inches<br \/>\nWidth of the dog crate is 12 inches more than width of Thomas crate = 12 in + 12 in = 24 inches<br \/>\nHeight of the dog crate is 24 in + 6 in = 30 inches<br \/>\nV = 42 in \u00d7 24 in \u00d7 30 in<br \/>\nV = 30,240 cu in<\/p>\n<p>Question 8.<br \/>\nd. Fill in the blanks for the dimensions of the dog crate.<br \/>\nlength: _____<br \/>\nwidth: _____<br \/>\nheight: _____<br \/>\narea of base: _____<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nCrate length = 30 + 12 = 42 in<br \/>\nCrate width = 12 + 12 = 24 in<br \/>\nCrate height = 24 + 6 = 30 in<br \/>\nArea of base = l \u00d7 w<br \/>\nA = 42 in \u00d7 24 in = 1008 sq in.<\/p>\n<p>Question 8.<br \/>\ne. Find the volume of the crate by multiplying the base area and the height.<br \/>\n______ \u00d7 ______ = ______<br \/>\nSo, Rich should build a travel crate for Thomas that has a volume of ______ .<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nArea of base = l \u00d7 w<br \/>\nA = 42 in \u00d7 24 in = 1008 sq in.<br \/>\nHeight = 30 in<br \/>\nV = 1008 sq in \u00d7 30 in = 30240 cu. in<br \/>\nSo, Rich should build a travel crate for Thomas that has a volume of 30240 cu. in<\/p>\n<p>Question 9.<br \/>\nWhat is the volume of the rectangular prism at the right?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-109.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 8: Volume of Rectangular Prisms img 109\" width=\"162\" height=\"144\" \/><br \/>\nOptions:<br \/>\na. 35 in.<sup>3<\/sup><br \/>\nb. 125 in.<sup>3<\/sup><br \/>\nc. 155 in.<sup>3<\/sup><br \/>\nd. 175 in.<sup>3<\/sup><\/p>\n<p>Answer: 175 in.<sup>3<\/sup><\/p>\n<p>Explanation:<br \/>\nLength = 5 in<br \/>\nWidth = 7 in<br \/>\nHeight = 5 in<br \/>\nVolume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 5 in \u00d7 7 in \u00d7 5 in<br \/>\nV = 175 in.<sup>3<br \/>\n<\/sup>The volume of the rectangular prism is 175 in.<sup>3<\/sup><br \/>\nTherefore the correct answer is option D.<\/p>\n<h3><a id=\"Share_and_Show_Lesson_9_Algebra_Apply_Volume_Formulas_Page_No_689\"><\/a>Share and Show &#8211; Lesson 9: Algebra Apply Volume Formulas &#8211; Page No. 689<\/h3>\n<p><strong>Find the volume.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-110.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 9: Algebra Apply Volume Formulas img 110\" width=\"133\" height=\"186\" \/><br \/>\nV =____ cu ft<\/p>\n<p>Answer: 40<\/p>\n<p>Explanation:<br \/>\nlength = 2 ft<br \/>\nwidth = 4 ft<br \/>\nheight = 5 ft<br \/>\nVolume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 2 ft \u00d7 4 ft \u00d7 5 ft<br \/>\nV = 40 cu ft<br \/>\nVolume of the rectangular prism is 40 cu. ft<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-111.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 9: Algebra Apply Volume Formulas img 111\" width=\"130\" height=\"184\" \/><br \/>\nV =____ cu cm<\/p>\n<p>Answer: 144<\/p>\n<p>Explanation:<br \/>\nlength = 4 cm<br \/>\nwidth = 4 cm<br \/>\nheight = 9 cm<br \/>\nVolume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 4 cm \u00d7 4 cm \u00d7 9 cm<br \/>\nV = 144 cu cm<br \/>\nVolume of the rectangular prism is 144 cu cm<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Find the volume.<\/strong><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-112.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 9: Algebra Apply Volume Formulas img 112\" width=\"142\" height=\"120\" \/><br \/>\nV =____ cu in.<\/p>\n<p>Answer: 216<\/p>\n<p>Explanation:<br \/>\nlength = 6 in<br \/>\nwidth = 6 in<br \/>\nheight = 6 in<br \/>\nVolume of the prism is l \u00d7 w \u00d7 h<br \/>\nV = 6 in \u00d7 6 in \u00d7 6 in<br \/>\nV = 216 cu. in<br \/>\nThus the Volume of the prism is 216 cu. in.<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-113.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 9: Algebra Apply Volume Formulas img 113\" width=\"244\" height=\"117\" \/><br \/>\nV =____ cu ft<\/p>\n<p>Answer: 192<\/p>\n<p>Explanation:<br \/>\nlength = 12 ft<br \/>\nwidth = 4 ft<br \/>\nheight = 4 ft<br \/>\nVolume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 12 ft \u00d7 4 ft \u00d7 4 ft<br \/>\nV = 192 cu ft<br \/>\nTherefore, the Volume of the rectangular prism is 192 cu ft.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-114.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 9: Algebra Apply Volume Formulas img 114\" width=\"225\" height=\"121\" \/><br \/>\nV =____ cu cm<\/p>\n<p>Answer: 240<\/p>\n<p>Explanation:<br \/>\nlength = 10 cm<br \/>\nwidth = 6 cm<br \/>\nheight = 4 cm<br \/>\nVolume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 10 cm \u00d7 6 cm \u00d7 4 cm<br \/>\nV = 240 Cu. cm<br \/>\nTherefore, the Volume of the rectangular prism is 240 Cu. cm.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-115.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 9: Algebra Apply Volume Formulas img 115\" width=\"151\" height=\"121\" \/><br \/>\nV =____ cu in.<\/p>\n<p>Answer: 1008<\/p>\n<p>Explanation:<br \/>\nlength = 14 in.<br \/>\nwidth = 6 in.<br \/>\nheight = 12 in.<br \/>\nVolume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 14 in \u00d7 6 in \u00d7 12 in<br \/>\nV = 1008 cu. in<br \/>\nThus the Volume of the rectangular prism is 1008 cu. in<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-116.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 9: Algebra Apply Volume Formulas img 116\" width=\"153\" height=\"152\" \/><br \/>\nV =420 cu ft<br \/>\n\u25a0 = ____ ft<\/p>\n<p>Answer: 10<\/p>\n<p>Explanation:<br \/>\nlength = 7 ft<br \/>\nwidth = 6 ft<br \/>\nheight = \u25a0 ft<br \/>\nVolume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\n420 cu ft = 7 ft \u00d7 6 ft \u00d7 \u25a0<br \/>\n\u25a0 \u00d7 42 sq ft = 420 cu ft<br \/>\n\u25a0 = 420 cu ft \u00f7 42 sq ft<br \/>\n\u25a0 = 10 ft<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-117.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 9: Algebra Apply Volume Formulas img 117\" width=\"169\" height=\"157\" \/><br \/>\nV =900 cu cm<br \/>\n\u25a0 = ____ cm<\/p>\n<p>Answer: 10<\/p>\n<p>Explanation:<br \/>\nlength = 6 cm<br \/>\nwidth = 15 cm<br \/>\nheight = \u25a0 cm<br \/>\nVolume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 900 cu cm<br \/>\n900 cu cm = 6 cm \u00d7 15 cm \u00d7 \u25a0 cm<br \/>\n900 cu cm = 90 sq cm \u00d7 \u25a0 cm<br \/>\n\u25a0 cm = 900 cu cm \u00f7 90 sq cm<br \/>\n\u25a0 cm = 10 cm<\/p>\n<h3><a id=\"Problem_Solving_Lesson_9_Algebra_Apply_Volume_Formulas_Page_No_690\"><\/a>Problem Solving &#8211; Lesson 9: Algebra Apply Volume Formulas &#8211; Page No. 690<\/h3>\n<p>Question 9.<br \/>\nThe Jade Restaurant has a large aquarium on display in its lobby. The base of the aquarium is 5 feet by 2 feet. The height of the aquarium is 4 feet. How many cubic feet of water are needed to completely fill the aquarium?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-118.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 9: Algebra Apply Volume Formulas img 118\" width=\"365\" height=\"163\" \/><br \/>\nV =____ cu ft of water<\/p>\n<p>Answer: 40 cu ft of water<\/p>\n<p>Explanation:<br \/>\nThe Jade Restaurant has a large aquarium on display in its lobby.<br \/>\nThe base of the aquarium is 5 feet by 2 feet.<br \/>\nThe height of the aquarium is 4 feet.<br \/>\nVolume = b \u00d7 w \u00d7 h<br \/>\nV = 5 feet \u00d7 2 feet\u00d7 4 feet<br \/>\nV = 40 Cu. ft<br \/>\nTherefore, the volume of the aquarium is 40 cu ft of water.<\/p>\n<p>Question 10.<br \/>\nThe Pearl Restaurant put a larger aquarium in its lobby. The base of their aquarium is 6 feet by 3 feet, and the height is 4 feet. How many more cubic feet of water does the Pearl Restaurant\u2019s aquarium hold than the Jade Restaurant\u2019s aquarium?<br \/>\n____ cu ft<\/p>\n<p>Answer: 32 cu ft<\/p>\n<p>Explanation:<br \/>\nThe Pearl Restaurant put a larger aquarium in its lobby.<br \/>\nThe base of their aquarium is 6 feet by 3 feet, and the height is 4 feet.<br \/>\nVolume = b \u00d7 w \u00d7 h<br \/>\nV = 6 feet \u00d7 3 feet \u00d7 4 feet = 72 cu. feet<br \/>\nThus the Volume of Pearl Restaurant\u2019s aquarium is 72 cu. feet<br \/>\nThe volume of the Jade Restaurant\u2019s aquarium is 40 cu ft of water<br \/>\nV = Vp &#8211; Vj<br \/>\nV = 72 &#8211; 40 = 32 cu feet<\/p>\n<p>Question 11.<br \/>\nEddie measured his aquarium using a small fish food box. The box has a base area of 6 inches and a height of 4 inches. Eddie found that the volume of his aquarium is 3,456 cubic inches. How many boxes of fish food could fit in the aquarium? Explain your answer.<br \/>\n____ boxes<\/p>\n<p>Answer: 144 boxes<\/p>\n<p>Explanation:<br \/>\nVolume = b \u00d7 h<br \/>\nV = 6 in \u00d7 4 in = 24 cu in<br \/>\nTo find out how many boxes will fit, divide the aquarium volume by the food box volume.<br \/>\nnumfit = Vaq\/Vbox<br \/>\nnumfit = 3456\/24 = 144<br \/>\n144 fish food boxes fir inside the aquarium.<\/p>\n<p>Question 12.<br \/>\nDescribe the difference between area and volume.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: The surface\u00a0area is the sum of the areas of all the faces of the solid figure. It is measured in square units. Volume is the number of cubic units that make up a solid figure.<\/p>\n<p>Question 13.<br \/>\nTest Prep Adam stores his favorite CDs in a box like the one at the right. What is the volume of the box?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-119.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 9: Algebra Apply Volume Formulas img 119\" width=\"196\" height=\"107\" \/><br \/>\nOptions:<br \/>\na. 150 cubic centimeters<br \/>\nb. 750 cubic centimeters<br \/>\nc. 1,050 cubic centimeters<br \/>\nd. 1,150 cubic centimeters<\/p>\n<p>Answer: 1,050 cubic centimeters<\/p>\n<p>Explanation:<br \/>\nL = 15 cm<br \/>\nW = 10 cm<br \/>\nH = 7 cm<br \/>\nV = lwh<br \/>\nV = 15 cm \u00d7 10 cm \u00d7 7 cm = 1050 cubic centimeters<br \/>\nThus the correct answer is option C.<\/p>\n<h3><a id=\"Share_and_Show_Lesson_10_Problem_Solving_Compare_Volumes_Page_No_695\"><\/a>Share and Show &#8211; Lesson 10: Problem Solving Compare Volumes &#8211; Page No. 695<\/h3>\n<p>Question 1.<br \/>\nMr. Price makes cakes for special occasions. His most popular-sized cakes have a volume of 360 cubic inches. The cakes have a height, or thickness, of 3 inches, and have different whole number lengths and widths. No cakes have a length or width of 1 or 2 inches. How many different cakes, each with a different-size base, have a volume of 360 cubic inches?<br \/>\nFirst, think about what the problem is asking you to solve, and the information that you are given.<br \/>\nNext, make a table using the information from problem.<br \/>\nFinally, use the table to solve the problem.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: There are total of 8 different possible combination of length and width<\/p>\n<p>Explanation:<br \/>\nVolume = 360 cubic inches<br \/>\nHeight = 3 inches<br \/>\nVolume = l x w x h<br \/>\n360 = l x w x 3<br \/>\nl x w = 120<br \/>\nThe factors of 120 are,<br \/>\n1 x 120,<br \/>\n2x 60,<br \/>\n3 x 40,<br \/>\n4 x 30,<br \/>\n5 x 24,<br \/>\n6 x 20,<br \/>\n8 x 15,<br \/>\n10 x 12<\/p>\n<p>Question 2.<br \/>\nWhat if the 360 cubic-inch cakes are 4 inches thick and any whole number length and width are possible? How many different cakes could be made? Suppose that the cost of a cake that size is $25, plus $1.99 for every 4 cubic inches of cake. How much would the cake cost?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nSince the store have a volume of 360 cu in and a height of 4 in.<br \/>\nWe need to find the number of different stones which have a base of 90 sq in.<br \/>\nV = b \u00d7 h<br \/>\nB = 360 cu in\/4 in<br \/>\nB = 90 sq in.<br \/>\nConsider the factors of 90.<br \/>\nThe factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90<br \/>\nMake a table with the base, height and volume for each pair of factors<br \/>\nHeight = 4 in<br \/>\n1 \u00d7 90 \u00d7 4 = 360 cu in<br \/>\n2 \u00d7 45 \u00d7 4 = 360 cu in<br \/>\n3 \u00d7 30 \u00d7 4 = 360 cu in<br \/>\n5 \u00d7 18 \u00d7 4 = 360 cu in<br \/>\n6 \u00d7 15 \u00d7 4 = 360 cu in<br \/>\n9 \u00d7 10 \u00d7 4 = 360 cu in<br \/>\n6 different sized paving stones.<br \/>\nRemember that each store has a volume of 360 cu in.<br \/>\nDivide by 4 to find how many 4 cu in per stone<br \/>\nConcrete = $0.18 \u00d7 (360\/4)<br \/>\n= $0.18 \u00d7 90 = $18.70<br \/>\nThe cost of the stone plus the concrete<br \/>\ncost = $2.50 + concrete<br \/>\nCost = $2.50 + $16.20 = $18.70<\/p>\n<p>Question 3.<br \/>\nOne company makes inflatable swimming pools that come in four sizes of rectangular prisms. The length of each pool is twice the width and twice the depth. The depth of the pools are each a whole number from 2 to 5 feet. If the pools are filled all the way to the top, what is the volume of each pool?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nIf the depth of the pool is 2 feet<br \/>\nthen the length of the pool is twice the width and twice the depth<br \/>\nThat means 2 feet \u00d7 2 \u00d7 2 = 8 feet<br \/>\nWidth is twice the depth<br \/>\nW = 2 feet \u00d7 2 = 4 feet<br \/>\nThe volume of the rectangular swimming pool is l \u00d7 w \u00d7 h<br \/>\nV = 8 ft \u00d7 4 feet \u00d7 2 ft<br \/>\nV = 64 cu ft<br \/>\nIf the depth of the pool is 3 feet<br \/>\nthen the length of the pool is twice the width and twice the depth<br \/>\nThat means 3 feet \u00d7 2 \u00d7 2 = 12 feet<br \/>\nWidth is twice the depth<br \/>\nW = 3 feet \u00d7 2 = 6 feet<br \/>\nThe volume of the rectangular swimming pool is l \u00d7 w \u00d7 h<br \/>\nV = 12 ft \u00d7 6 feet \u00d7 2 ft<br \/>\nV = 144 cu ft<br \/>\nIf the depth of the pool is 4 feet<br \/>\nthen the length of the pool is twice the width and twice the depth<br \/>\nThat means 4 feet \u00d7 2 \u00d7 2 = 16 feet<br \/>\nWidth is twice the depth<br \/>\nW = 4 feet \u00d7 2 = 8 feet<br \/>\nThe volume of the rectangular swimming pool is l \u00d7 w \u00d7 h<br \/>\nV = 16 ft \u00d7 8 feet \u00d7 2 ft<br \/>\nV = 256 cu ft<br \/>\nIf the depth of the pool is 5 feet<br \/>\nthen the length of the pool is twice the width and twice the depth<br \/>\nThat means 5 feet \u00d7 2 \u00d7 2 = 20 feet<br \/>\nWidth is twice the depth<br \/>\nW = 5 feet \u00d7 2 = 10 feet<br \/>\nThe volume of the rectangular swimming pool is l \u00d7 w \u00d7 h<br \/>\nV = 20 ft \u00d7 10 feet \u00d7 2 ft<br \/>\nV = 400 cu ft<\/p>\n<h3><a id=\"On_Your_Own_Lesson_10_Problem_Solving_Compare_Volumes_Page_No_696\"><\/a>On Your Own &#8211; Lesson 10: Problem Solving Compare Volumes &#8211; Page No. 696<\/h3>\n<p>Question 4.<br \/>\nRay wants to buy the larger of two aquariums. One aquarium has a base that is 20 inches by 20 inches and a height that is 18 inches. The other aquarium has a base that is 40 inches by 12 inches and a height that is 12 inches. Which aquarium has a greater volume? By how much?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 1440 cu. in<\/p>\n<p>Explanation:<br \/>\nVolume = l \u00d7 w \u00d7 h<br \/>\nVolume of Aquarium 1 = 20 in \u00d7 20 in \u00d7 18 in<br \/>\nV = 7200 cu. in<br \/>\nVolume = l \u00d7 w \u00d7 h<br \/>\nVolume of Aquarium 2 is 40 in \u00d7 12 in \u00d7 12 in<br \/>\nV for A2 = 5760 cu in<br \/>\nA1 &gt; A2<br \/>\nA1 has a greater volume.<br \/>\nSubtract A2 from A1<br \/>\nA1 &#8211; A2 = 7200 cu in &#8211; 5760 cu in<br \/>\n= 1440 cu in<br \/>\nThe volume of Aquarium 1 is 1440 cu in more than Volume of Aquarium 2.<\/p>\n<p>Question 5.<br \/>\nKen owns 13 CDs. His brother Keith has 7 more CDs than he does. Their brother, George, has more CDs than either of the younger brothers. Together, the three brothers have 58 CDs. How many CDs does George have?<br \/>\n______ CDs<\/p>\n<p>Answer: 25 CDs<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nKen owns 13 CDs.<br \/>\nHis brother Keith has 7 more CDs than he does.<br \/>\nTheir brother, George, has more CDs than either of the younger brothers.<br \/>\nTogether, the three brothers have 58 CDs.<br \/>\nKeith has 7 more CDs than Ken<br \/>\nThat means he has 7 + 13 = 20 CDs<br \/>\nNow subtract Ken&#8217;s CDs, Keith CDs from the total number of CDs.<br \/>\n= 58 &#8211; 20 &#8211; 13 = 25 CDs.<br \/>\nThus George has 25 CDs.<\/p>\n<p>Question 6.<br \/>\nKathy has ribbons that have lengths of 7 inches, 10 inches, and 12 inches. Explain how she can use these ribbons to measure a length of 15 inches.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: She could take the 10-inch ribbon and then use 5 inches from the 7-inch ribbon<\/p>\n<p>Question 7.<br \/>\nA park has a rectangular playground area that has a length of 66 feet and a width of 42 feet. The park department has 75 yards of fencing material. Is there enough fencing material to enclose the playground area? Explain.<br \/>\n______<\/p>\n<p>Answer: Yes<\/p>\n<p>Explanation:<br \/>\nA park has a rectangular playground area that has a length of 66 feet and a width of 42 feet.<br \/>\nThe park department has 75 yards of fencing material.<br \/>\nArea of the rectangular playground = l \u00d7 w<br \/>\nA = 66 feet \u00d7 42 feet<br \/>\nA = 2772 sq. ft<br \/>\nPerimeter of the rectangular playground = 2l + 2w<br \/>\nP = 2 \u00d7 66 + 2 \u00d7 42<br \/>\nP = 216 ft<br \/>\nNow convert from feet to yard<br \/>\nWe know that 1 yard = 3 feet<br \/>\n216 ft = 1\/3 \u00d7 216 = 72 yard<br \/>\n72 yard is less than 75 yard<br \/>\nThus the park department has enough fencing material.<\/p>\n<p>Question 8.<br \/>\nTest Prep John is making a chest that will have a volume of 1,200 cubic inches. The length is 20 inches and the width is 12 inches. How many inches tall will his chest be?<br \/>\nOptions:<br \/>\na. 4 in.<br \/>\nb. 5 in.<br \/>\nc. 6 in.<br \/>\nd. 7 in.<\/p>\n<p>Answer: 5 in<\/p>\n<p>Explanation:<br \/>\nJohn is making a chest that will have a volume of 1,200 cubic inches.<br \/>\nThe length is 20 inches and the width is 12 inches.<br \/>\nVolume = l \u00d7 w \u00d7 h<br \/>\n1200 cu in = 20 in \u00d7 12 in \u00d7 h<br \/>\n240 sq in \u00d7 h = 1200 cu in<br \/>\nh = 1200 cu in \u00f7 240 sq in<br \/>\nh = 5 in<br \/>\nThus John&#8217;s chest will be 5 inches tall.<br \/>\nThe correct answer is option B.<\/p>\n<h3><a id=\"Share_and_Show_Lesson_11_Find_Volume_of_Composed_Figures_Page_No_701\"><\/a>Share and Show &#8211; Lesson 11: Find Volume of Composed Figures &#8211; Page No. 701<\/h3>\n<p><strong>Find the volume of the composite figure.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-120.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 11: Find Volume of Composed Figures img 120\" width=\"239\" height=\"136\" \/><br \/>\nV = ______ cu in.<\/p>\n<p>Answer: 88 cu in.<\/p>\n<p>Explanation:<br \/>\nSplit the figure into 2 parts<br \/>\nVolume of figure 1:<br \/>\nb = 2 in<br \/>\nh = 3 in<br \/>\nw = 4 in<br \/>\nV = 2 in \u00d7 4 in \u00d7 3 in<br \/>\nV = 24 cu. in<br \/>\nVolume of figure 2:<br \/>\nb = 8 in<br \/>\nw = 4 in<br \/>\nh = 2 in<br \/>\nV = 8 in \u00d7 4 in \u00d7 2 in<br \/>\nV = 64 in<br \/>\nVolume of the composite figure = 24 cu in + 64 cu. in = 88 cu. in<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-121.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 11: Find Volume of Composed Figures img 121\" width=\"219\" height=\"133\" \/><br \/>\nV = ______ cu cm<\/p>\n<p>Answer: 48 cu cm<\/p>\n<p>Explanation:<br \/>\nSplit the figure into 2 parts<br \/>\nVolume of figure 1:<br \/>\nb = 3 cm<br \/>\nh = 1 cm<br \/>\nw = 2 cm<br \/>\nV = 3 cm \u00d7 2 cm \u00d7 1 cm<br \/>\nV = 6 cu. cm<br \/>\nVolume of figure 2:<br \/>\nb = 7 cm<br \/>\nw = 6 cm<br \/>\nh = 1 cm<br \/>\nV = 7 cm \u00d7 6 cm \u00d7 1 cm<br \/>\nV = 42 cu. cm<br \/>\nVolume of the composite figure = 42 cu. cm + 6 cu. cm = 48 cu cm<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Find the volume of the composite figure.<\/strong><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-122.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 11: Find Volume of Composed Figures img 122\" width=\"266\" height=\"101\" \/><br \/>\nV = ______ cu ft<\/p>\n<p>Answer: 52 cu ft<\/p>\n<p>Explanation:<br \/>\nSplit the figure into 2 parts<br \/>\nVolume of figure 1:<br \/>\nb = 6 ft<br \/>\nh = 2 ft<br \/>\nw = 3 ft<br \/>\nV = 6 ft \u00d7 3 ft \u00d7 2 ft<br \/>\nV = 36 cu. ft<br \/>\nVolume of figure 2:<br \/>\nb = 4 ft<br \/>\nw = 2 ft<br \/>\nh = 2 ft<br \/>\nV = 4 ft \u00d7 2 ft \u00d7 2 ft<br \/>\nV = 16 cu. ft<br \/>\nVolume of the composite figure = 36 cu. ft + 16 cu. ft = 52 cu ft<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-123.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 11: Find Volume of Composed Figures img 123\" width=\"299\" height=\"143\" \/><br \/>\nV = ______ cu cm<\/p>\n<p>Answer: 108 cu. cm<\/p>\n<p>Explanation:<br \/>\nSplit the figure into 2 parts<br \/>\nVolume of figure 1:<br \/>\nb = 3 cm<br \/>\nw = 8 cm<br \/>\nh = 2 cm<br \/>\nV = 3 cm \u00d7 8 cm \u00d7 2 cm<br \/>\nV = 48 cu cm<br \/>\nVolume of figure 2:<br \/>\nb = 10 cm<br \/>\nw = 3 cm<br \/>\nh = 2 cm<br \/>\nV = 10 cm \u00d7 3 cm \u00d7 2 cm<br \/>\nV = 60 cu cm<br \/>\nVolume of the composite figure = 48 cu cm + 60 cu cm = 108 cu. cm<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-124.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 11: Find Volume of Composed Figures img 124\" width=\"239\" height=\"148\" \/><br \/>\nV = ______ cu in.<\/p>\n<p>Answer: 204 cu. in<\/p>\n<p>Explanation:<br \/>\nSplit the figure into 2 parts<br \/>\nVolume of figure 1:<br \/>\nb = 3 in<br \/>\nh = 5 in<br \/>\nw = 4 in<br \/>\nV = 3 in \u00d7 4 in \u00d7 5 in<br \/>\nV = 60 cu. in<br \/>\nVolume of figure 2:<br \/>\nb = 12 in<br \/>\nw = 4 in<br \/>\nh = 3 in<br \/>\nV = 12 in \u00d7 4 in \u00d7 3 in<br \/>\nV = 144 cu. in<br \/>\nVolume of the composite figure = 60 cu in + 144 cu. in = 204 cu. in<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-125.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 11: Find Volume of Composed Figures img 125\" width=\"259\" height=\"133\" \/><br \/>\nV = ______ cu ft<\/p>\n<p>Answer: 96 cu ft<\/p>\n<p>Explanation:<br \/>\nSplit the figure into 3 parts.<br \/>\nFigure 1:<br \/>\nV1 = 9 ft \u00d7 4 ft \u00d7 2 ft<br \/>\nV1 = 72 cu. ft<br \/>\nFigure 2:<br \/>\nV2 = 3 ft \u00d7 4 ft \u00d7 2 ft<br \/>\nV2 = 24 cu. ft<br \/>\nV = V1 + V2<br \/>\nV = 72 cu. ft + 24 cu. ft = 96 cu. ft<br \/>\nThus the volume of the composite figure is 96 cu. ft<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-126.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 11: Find Volume of Composed Figures img 126\" width=\"269\" height=\"142\" \/><br \/>\nV = ______ cu ft<\/p>\n<p>Answer: 300 cu. ft<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6883\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-126-1.jpg\" alt=\"Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-126\" width=\"269\" height=\"142\" \/><br \/>\nSplit the figure into 3 parts.<br \/>\nFigure 1:<br \/>\nV1 = 5 ft \u00d7 4 ft \u00d7 4 ft<br \/>\nV1 = 80 cu. ft<br \/>\nFigure 2:<br \/>\nV2 = 6 ft \u00d7 5 ft \u00d7 6 ft<br \/>\nV2 = 180 cu ft<br \/>\nFigure 3:<br \/>\nV3 = 4 ft \u00d7 5 ft \u00d7 2 ft<br \/>\nV3 = 40 cu. ft<br \/>\nV = V1 + V2 + V3<br \/>\nV = 80 cu. ft + 180 cu ft + 40 cu ft = 300 cu. ft<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-127.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 11: Find Volume of Composed Figures img 127\" width=\"254\" height=\"139\" \/><br \/>\nV = ______ cu cm<\/p>\n<p>Answer: 102 cu cm<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6884\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-127-1.jpg\" alt=\"Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-127\" width=\"254\" height=\"139\" \/><br \/>\nFigure 1:<br \/>\nV1 = 10 cm \u00d7 3 cm \u00d7 2 cm = 60 cu cm<br \/>\nV1 = 60 cu. cm<br \/>\nFigure 2:<br \/>\nV2= 2 cm \u00d7 3 cm \u00d7 4 cm<br \/>\nV2 = 24 cu. cm<br \/>\nFigure 3:<br \/>\nV3 = 2 cm \u00d7 3 cm \u00d7 3 cm<br \/>\nV3 = 18 cu. cm<br \/>\nV = V1 + V2 + V3<br \/>\nV = 60 cu. cm + 24 cu. cm + 18 cu. cm = 102 cu. cm<\/p>\n<h3><a id=\"Problem_Solving_Lesson_11_Find_Volume_of_Composed_Figures_Page_No_702\"><\/a>Problem Solving &#8211; Lesson 11: Find Volume of Composed Figures &#8211; Page No. 702<\/h3>\n<p><strong>Use the composite figure at the right for 9\u201311.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-128.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 11: Find Volume of Composed Figures img 128\" width=\"279\" height=\"207\" \/><\/p>\n<p>Question 9.<br \/>\nAs part of a wood-working project, Jordan made the figure at the right out of wooden building blocks. How much space does the figure he made take up?<br \/>\n______ cu in.<\/p>\n<p>Answer: 784 cu. in<\/p>\n<p>Explanation:<br \/>\nSplit the figure into 2 parts<br \/>\nFigure 1:<br \/>\nV1 = 14 in \u00d7 4 in \u00d7 5 in<br \/>\nV1 = 280 cu. in<br \/>\nFigure 2:<br \/>\nV2 = 12 in \u00d7 14 in \u00d7 3 in<br \/>\nV2 = 504 cu. in<br \/>\nV = V1 + V2<br \/>\nV = 280 cu. in + 504 cu. in<br \/>\nV = 784 cu. in<\/p>\n<p>Question 10.<br \/>\nWhat are the dimensions of the two rectangular prisms you used to find the volume of the figure? What other rectangular prisms could you have used?<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\nDimensions for figure 1:<br \/>\nBase = 14 in<br \/>\nWidth = 4 in<br \/>\nHeight = 5 in<br \/>\nDimensions for figure 2:<br \/>\nBase = 12 in<br \/>\nWidth = 14 in<br \/>\nHeight = 3 in<\/p>\n<p>Question 11.<br \/>\nIf the volume is found using subtraction, what is the volume of the empty space that is subtracted? Explain.<br \/>\n______ cu in.<\/p>\n<p>Answer: 560 cu. in<\/p>\n<p>Explanation:<br \/>\nB = 8 in<br \/>\nH = 5 in<br \/>\nW = 14 in<br \/>\nV = 8 in \u00d7 14 in \u00d7 5 in<br \/>\nV = 560 cu. in<br \/>\nThus the volume of the empty space is 560 cu. in<\/p>\n<p>Question 12.<br \/>\nExplain how you can find the volume of composite figures that are made by combining rectangular prisms.<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6885\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-128-1.jpg\" alt=\"\" width=\"279\" height=\"207\" \/><br \/>\nSplit the figure into 2 parts<br \/>\nFigure 1:<br \/>\nV1 = 14 in \u00d7 4 in \u00d7 5 in<br \/>\nV1 = 280 cu. in<br \/>\nFigure 2:<br \/>\nV2 = 12 in \u00d7 14 in \u00d7 3 in<br \/>\nV2 = 504 cu. in<br \/>\nV = V1 + V2<br \/>\nV = 280 cu. in + 504 cu. in<br \/>\nV = 784 cu. in<\/p>\n<p>Question 13.<br \/>\nTest Prep What is the volume of the composite figure?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-129.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Lesson 11: Find Volume of Composed Figures img 129\" width=\"200\" height=\"134\" \/><br \/>\nOptions:<br \/>\na. 126 cubic centimeters<br \/>\nb. 350 cubic centimeters<br \/>\nc. 450 cubic centimeters<br \/>\nd. 476 cubic centimeters<\/p>\n<p>Answer: 476 cubic centimeters<\/p>\n<p>Explanation:<br \/>\nSplit the figure into 2 parts<br \/>\nFigure 1:<br \/>\nV1 = 10 cm \u00d7 7 cm \u00d7 5 cm<br \/>\nV1 = 350 cu. cm<br \/>\nFigure 2:<br \/>\nV2 = 3 cm \u00d7 7 cm \u00d7 6 cm<br \/>\nV2 = 126 cu. cm<br \/>\nV = V1 + V2<br \/>\nV = 350 cu. cm + 126 cu. cm<br \/>\nV = 476 cu. cm<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_705\"><\/a>Chapter Review\/Test &#8211; Page No. 705<\/h3>\n<p>Question 1.<br \/>\nFran drew a triangle with no congruent sides and 1 right angle. Which term accurately describes the triangle? Mark all that apply.<br \/>\nOptions:<br \/>\na. isosceles<br \/>\nb. scalene<br \/>\nc. acute<br \/>\nd. right<\/p>\n<p>Answer: Right<\/p>\n<p>Explanation:<br \/>\nA right triangle is a type of triangle that has one angle that measures 90\u00b0. Right triangles, and the relationships between their sides and angles, are the basis of trigonometry.<br \/>\nThus the correct answer is option D.<\/p>\n<p>Question 2.<br \/>\nJose stores his baseball cards in a box like the one shown.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-130.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 130\" width=\"184\" height=\"102\" \/><br \/>\nUse the numbers and symbols on the tiles to write a formula that represents the volume of the box. Symbols may be used more than once or not at all.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-131.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 131\" width=\"550\" height=\"66\" \/><br \/>\nWhat is the volume of the box?<br \/>\nV = ______ cubic inches<\/p>\n<p>Answer:<br \/>\nVolume of the box is l \u00d7 w \u00d7 h<br \/>\nV = 8 in \u00d7 10 in \u00d7 3 in<br \/>\nV = 240 cu. in<br \/>\nThus the volume of the box is 240 cu. in<\/p>\n<p>Question 3.<br \/>\nMr. Delgado sees this sign while he is driving. For 3a\u20133b, choose the values and term that correctly describes the shape Mr. Delgado saw.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-132.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 132\" width=\"113\" height=\"96\" \/><br \/>\n3a. The figure has <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-133.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 133\" width=\"55\" height=\"130\" \/> sides and <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-134.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 134\" width=\"62\" height=\"131\" \/>angles.<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer: The figure has 3 sides and 3 angles.<\/p>\n<p>Explanation:<br \/>\nFrom the above figure we can say that there are three sides and three angles.<\/p>\n<p>Question 3.<br \/>\n3b. All of the sides are congruent, so the figure is <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-135.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 135\" width=\"147\" height=\"163\" \/><br \/>\n________<\/p>\n<p>Answer: a regular polygon<br \/>\nIf all the sides are congruent then the polygon is a regular polygon.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_706\"><\/a>Chapter Review\/Test &#8211; Page No. 706<\/h3>\n<p>Question 4.<br \/>\nWhat is the volume of the composite figure?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-136.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 136\" width=\"213\" height=\"113\" \/><br \/>\n______ cubic feet<\/p>\n<p>Answer: 36 cubic feet<\/p>\n<p>Explanation:<br \/>\nFigure 1:<br \/>\nlength = 2 ft<br \/>\nwidth = 3 ft<br \/>\nheight = 1 ft<br \/>\nVolume of 1st figure = l \u00d7 w \u00d7 h<br \/>\nV = 2 ft \u00d7 3 ft \u00d7 1 ft = 6 cu. ft<br \/>\nFigure 2:<br \/>\nlength = 4 ft<br \/>\nwidth = 3 ft<br \/>\nheight = 1 ft<br \/>\nVolume of 1st figure = l \u00d7 w \u00d7 h<br \/>\nV = 4 ft \u00d7 3 ft \u00d7 1 ft = 12 cu. ft<br \/>\nFigure 3:<br \/>\nlength = 6 ft<br \/>\nwidth = 3 ft<br \/>\nheight = 1 ft<br \/>\nVolume of 1st figure = l \u00d7 w \u00d7 h<br \/>\nV = 6 ft \u00d7 3 ft \u00d7 1 ft = 18 cu. ft<br \/>\nAdd all the volumes = 6 cu. ft + 12 cu. ft + 18 cu. ft<br \/>\nVolume = 36 cu. ft<\/p>\n<p>Question 5.<br \/>\nMatch the figure with the number of unit cubes that would be needed to build each figure. Not every number of unit cubes will be used.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-137.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 137\" width=\"416\" height=\"239\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-6879\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-137-1-300x172.jpg\" alt=\"Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-137\" width=\"300\" height=\"172\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-137-1-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-137-1.jpg 416w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nCount the number of unit cubes in the first figure.<br \/>\nThere are 10 unit cubes in figure 1 so match the figure 1 to 10 unit cubes.<br \/>\nCount the number of unit cubes in the second figure.<br \/>\nThere are 12 unit cubes in figure 2 so match figure 2 to 12 unit cubes.<br \/>\nCount the number of unit cubes in the third figure.<br \/>\nThere are 9 unit cubes in figure 3 so match figure 3 to 9 unit cubes.<\/p>\n<p>Question 6.<br \/>\nChuck is making a poster about polyhedrons for his math class. He will draw figures and organize them in different sections of the poster.<br \/>\nPart A<br \/>\nChuck wants to draw three-dimensional figures whose lateral faces are rectangles. He says he can draw prisms and pyramids. Do you agree?<br \/>\nExplain your answer.<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer: No<\/p>\n<p>Explanation:<br \/>\nThe lateral faces of a pyramid are triangles.<br \/>\nThe lateral faces of a prism are rectangles.<\/p>\n<p>Question 6.<br \/>\nPart B<br \/>\nChuck says that he can draw a cylinder on his polyhedron poster because it has a pair of bases that are congruent. Is Chuck correct?<br \/>\nExplain your reasoning.<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer: No<\/p>\n<p>Explanation:<br \/>\nA cylinder does have 2 congruent bases, but a cylinder is not a polyhedron.<br \/>\nA cylinder has 1 curved surface, while a polyhedron has faces that are polygons<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_707\"><\/a>Chapter Review\/Test &#8211; Page No. 707<\/h3>\n<p>Question 7.<br \/>\nJavier drew the shape shown. For 7a\u20137b, choose the values and term that correctly describe the shape Javier drew.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-138.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 138\" width=\"108\" height=\"105\" \/><br \/>\n7a. The figure has <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-139.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 139\" width=\"55\" height=\"127\" \/> sides and <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-140.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 140\" width=\"54\" height=\"126\" \/> angles.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: 8, 8<br \/>\nThe above figure has 8 sides and 8 angles.<\/p>\n<p>Question 7.<br \/>\n7b. The figure is a <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-141.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 141\" width=\"175\" height=\"133\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer: The polygon with 8 sides is known as the octagon. The above figure is congruent thus it is a regular octagon.<\/p>\n<p>Question 8.<br \/>\nVictoria used 1-inch cubes to build the rectangular prism shown. Find the volume of the rectangular prism Victoria built.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-142.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 142\" width=\"244\" height=\"173\" \/><br \/>\n______ cubic inches<\/p>\n<p>Answer: 72<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nl = 6 in<br \/>\nw = 3 in<br \/>\nh = 4 in<br \/>\nThe volume of the rectangular prism is l \u00d7 w \u00d7 h<br \/>\nV = 6 in \u00d7 3 in \u00d7 4in<br \/>\nV = 72 cu in.<br \/>\nHence, the volume of the rectangular prism Victoria built is 72 cu. in.<\/p>\n<p>Question 9.<br \/>\nNathan drew a scalene, obtuse triangle. For 9a\u20139c, choose Yes or No to indicate whether the figure shown could be the triangle that Nathan drew.<br \/>\na. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-143.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 143\" width=\"96\" height=\"94\" \/><br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer: Yes<\/p>\n<p>Explanation:<br \/>\nThe above different have different sizes thus the triangle is scalene. The angle for the above triangle is more than 90\u00b0 thus the angle is an obtuse angle. So, the answer is yes.<\/p>\n<p>Question 9.<br \/>\nb. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-144.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 144\" width=\"104\" height=\"102\" \/><br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer: No<\/p>\n<p>Explanation:<br \/>\nThe above different have different sizes thus the triangle is scalene. It has one right angle thus the statement is not correct.<\/p>\n<p>Question 9.<br \/>\nc. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-145.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 145\" width=\"70\" height=\"96\" \/><\/p>\n<p>Answer: No<\/p>\n<p>Explanation:<br \/>\nThe above different have different sizes thus the triangle is scalene. It has one right angle thus the statement is not correct.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_708\"><\/a>Chapter Review\/Test &#8211; Page No. 708<\/h3>\n<p>Question 10.<br \/>\nA shipping crate holds 20 shoeboxes. The dimensions of a shoebox are 6 inches by 4 inches by 12 inches. For 10a\u201310b, select True or False for each statement.<br \/>\na. Each shoebox has a volume of 22 cubic inches.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: False<\/p>\n<p>Explanation:<br \/>\nShoebox volume:<br \/>\nV = 6 in \u00d7 4 in \u00d7 12 in<br \/>\nV = 288 cu. in<br \/>\nThus the statement is false.<\/p>\n<p>Question 10.<br \/>\nb. Each crate has a volume of about 440 cubic inches.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: False<\/p>\n<p>Explanation:<br \/>\nCrate Volume:<br \/>\nV = 288 cu. in \u00d7 20<br \/>\nV = 5760 cu. in<br \/>\nThus the statement is false.<\/p>\n<p>Question 10.<br \/>\nc. If the crate could hold 27 shoeboxes the volume of the crate would be about 7,776 cubic inches.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: True<\/p>\n<p>Explanation:<br \/>\nCrate Volume:<br \/>\nV = 288 cu. in \u00d7 27<br \/>\nV = 7776 cu. in<br \/>\nThus the statement is true.<\/p>\n<p>Question 11.<br \/>\nMario is making a diagram that shows the relationship between different kinds of quadrilaterals. In the diagram, each quadrilateral on a lower level can also be described by the quadrilateral(s) above it on higher levels.<br \/>\nPart A<br \/>\nComplete the diagram by writing the name of one figure from the tiles in each box. Not every figure will be used.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-146.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 146\" width=\"334\" height=\"333\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-6880\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-146-1-300x300.jpg\" alt=\"Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-146\" width=\"300\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-146-1-300x300.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-146-1-150x150.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-146-1.jpg 334w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 11.<br \/>\nPart B<br \/>\nMario claims that a rhombus is sometimes a square, but a square is always a rhombus. Is he correct? Explain your answer.<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer: Yes<\/p>\n<p>Explanation:<br \/>\nA square is a quadrilateral with all sides equal in length and all interior angles right angles. A square however is a rhombus since all four of its sides are of the same length.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_709\"><\/a>Chapter Review\/Test &#8211; Page No. 709<\/h3>\n<p>Question 12.<br \/>\nWrite the letter in the box that correctly describes the three-dimensional figure.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-147.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 147\" width=\"498\" height=\"209\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-6881\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-147-1-300x126.jpg\" alt=\"Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-147\" width=\"300\" height=\"126\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-147-1-300x126.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-147-1.jpg 498w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nPrism: In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy of the first, and n other faces joining corresponding sides of the two bases.<br \/>\nFigure B and C are prisms<br \/>\nPyramid: In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle called a lateral face. All the edges meet at the same point in the pyramid. Thus the figures A and D are pyramids.<\/p>\n<p>Question 13.<br \/>\nMark packed 1-inch cubes into a box with a volume of 120 cubic inches. How many layers of 1-inch cubes did Mark pack?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-148.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 148\" width=\"213\" height=\"133\" \/><br \/>\n______ layers<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<br \/>\nMark packed 1-inch cubes into a box with a volume of 120 cubic inches.<br \/>\nBy seeing the figure we can say that there are 24 unit cubes.<br \/>\nTo find the number of layers we need to divide 120 by 24<br \/>\n= 120 \u00f7 24 = 5<br \/>\nThere are 5 layers of 1-inch cubes.<\/p>\n<p>Question 14.<br \/>\nA composite figure is shown. What is the volume of the composite figure?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-149.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 149\" width=\"258\" height=\"163\" \/><br \/>\nVolume = ______ cubic centimeters<\/p>\n<p>Answer: 312<\/p>\n<p>Explanation:<br \/>\nSplit the figure into 2 parts.<br \/>\nFigure 1:<br \/>\nh = 3 cm<br \/>\nw = 6 cm<br \/>\nb = 4 cm<br \/>\nV = 4 cm \u00d7 6 cm \u00d7 3 cm = 72 cu. cm<br \/>\nFigure 2:<br \/>\nb = 10 cm<br \/>\nw = 6 cm<br \/>\nh = 4 cm<br \/>\nV = 10 cm \u00d7 6 cm \u00d7 4 cm = 240 cu. cm<br \/>\nNow add the volume of 2 figures<br \/>\n72 cu. cm + 240 cu. cm = 312 cu cm<br \/>\nThus the volume of the composite figure is 312 cu. cm<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_710\"><\/a>Chapter Review\/Test &#8211; Page No. 710<\/h3>\n<p>Question 15.<br \/>\nFor 15a\u201315c, write the name of one quadrilateral from the tiles to complete a true statement. Use each quadrilateral once only.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-150.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 150\" width=\"160\" height=\"169\" \/><br \/>\na. A <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-151.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 151\" width=\"114\" height=\"76\" \/> is always a parallelogram.<br \/>\n_________<\/p>\n<p>Answer: rectangle<\/p>\n<p>Explanation: Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms.<\/p>\n<p>Question 15.<br \/>\nb. A <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-152.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 152\" width=\"114\" height=\"76\" \/> is always a rhombus.<br \/>\n_________<\/p>\n<p>Answer: square<\/p>\n<p>Explanation: A square is a quadrilateral with all sides equal in length and all interior angles right angles.<\/p>\n<p>Question 15.<br \/>\nc. A <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-153.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 153\" width=\"114\" height=\"76\" \/> is sometimes a parallelogram.<br \/>\n_________<\/p>\n<p>Answer: trapezoid<\/p>\n<p>Explanation: A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid.<\/p>\n<p>Question 16.<br \/>\nMegan\u2019s aquarium has a volume of 4,320 cubic inches. Which could be the dimensions of the aquarium? Mark all that apply.<br \/>\nOptions:<br \/>\na. 16 in. by 16 in. by 18 in.<br \/>\nb. 14 in. by 18 in. by 20 in.<br \/>\nc. 12 in. by 15 in. by 24 in.<br \/>\nd. 8 in. by 20 in. by 27 in.<\/p>\n<p>Answer: C, D<\/p>\n<p>Explanation:<br \/>\nThe volume of a prism = l \u00d7 w \u00d7 h<br \/>\n1. V = 16 in \u00d7 16 in \u00d7 16 in<br \/>\nV = 4608 cu. in<br \/>\n2. V = 14 in \u00d7 18 in \u00d7 20 in = 5040 cu. in<br \/>\n3. V = 12 in \u00d7 15 in \u00d7 24 in = 4320 cu. in<br \/>\n4. V = 8 in \u00d7 20 in \u00d7 27 in = 4320 cu in<br \/>\nThus the suitable answers are C and D.<\/p>\n<p>Question 17.<br \/>\nKen keeps paper clips in a box that is the shape of a cube. Each side of the cube is 3 inches. What is the volume of the box?<br \/>\n______ cubic inches<\/p>\n<p>Answer: 27<\/p>\n<p>Explanation:<br \/>\nKen keeps paper clips in a box that is the shape of a cube.<br \/>\nEach side of the cube is 3 inches.<br \/>\nThe volume of a cube = 3 in \u00d7 3 in \u00d7 3 in = 27 cu. in<br \/>\nTherefore the volume of the box is 27 cubic inches.<\/p>\n<p>Question 18.<br \/>\nMonica used 1-inch cubes to make the rectangular prism shown. For 18a\u201318d, write the value that makes each statement true. Each value can be used more than once or not at all.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-154.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 154\" width=\"234\" height=\"181\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-155.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 155\" width=\"510\" height=\"67\" \/><br \/>\na. Each cube has a volume of ____ cubic inch(es).<\/p>\n<p>Answer: 1<\/p>\n<p>Explanation:<br \/>\nMonica used 1-inch cubes to make the rectangular prism<br \/>\nVolume = 1 in \u00d7 1 in \u00d7 1 in = 1 cu. in.<br \/>\nEach cube has a volume of 1 cubic inch.<\/p>\n<p>Question 18.<br \/>\nb. Each layer of the prism is made up of ____ cubes.<br \/>\n______ cubes<\/p>\n<p>Answer: 20<\/p>\n<p>Explanation:<br \/>\nWe can calculate the layer by calculating the base and width<br \/>\n4 \u00d7 5 = 20 cubes<br \/>\nEach layer of the prism is made up of 20 cubes.<\/p>\n<p>Question 18.<br \/>\nc. There are ____ layers of cubes.<br \/>\n______ layers<\/p>\n<p>Answer: 3<br \/>\nBy seeing the figure we can say that there are 3 layers of the cube.<br \/>\nYou can also find the layers of the cube by calculating the height of the figure.<\/p>\n<p>Question 18.<br \/>\nd. The volume of the prism is ____ cubic inches.<br \/>\n______ cubic inches<\/p>\n<p>Answer: 60<\/p>\n<p>Explanation:<br \/>\nThe volume of a prism = l \u00d7 w \u00d7 h<br \/>\nV = 4 in \u00d7 5 in \u00d7 3 in<br \/>\nVolume = 60 cu. inches<br \/>\nTherefore, the volume of the prism is 60 cubic inches.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_4910\"><\/a>Chapter Review\/Test &#8211; Vocabulary &#8211; Page No. 4910<\/h3>\n<p><strong>Choose the best term from the box.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-156.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 156\" width=\"231\" height=\"158\" \/><\/p>\n<p>Question 1.<br \/>\nA _____ has two congruent polygons as bases and rectangular lateral faces.<br \/>\n__________<\/p>\n<p>Answer: prism<br \/>\nA prism has two congruent polygons as bases and rectangular lateral faces.<\/p>\n<p>Question 2.<br \/>\nA _____ has only one base and triangular lateral faces.<br \/>\n__________<\/p>\n<p>Answer: pyramid<br \/>\nA pyramid has only one base and triangular lateral faces.<\/p>\n<p><strong>Concepts and Skills<\/strong><\/p>\n<p><strong>Name each polygon. Then tell whether it is a regular polygon or not a regular polygon.<\/strong><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-157.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 157\" width=\"109\" height=\"100\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. hexagon<br \/>\nii. regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has.<br \/>\nThe above figure has six sides and 6 angles. Thus the name of the polygon is hexagon.<br \/>\nTwo polygons are congruent when they have the same size and the same shape. The above figure has same size and angles. Thus it is a regular polygon.<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-158.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 158\" width=\"105\" height=\"99\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. pentagon<br \/>\nii. regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has.<br \/>\nThe above figure has five sides and 5 angles. Thus the name of the polygon is pentagon.<br \/>\nTwo polygons are congruent when they have the same size and the same shape. The above figure has same size and angles. Thus it is a regular polygon.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-159.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 159\" width=\"88\" height=\"73\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. pentagon<br \/>\nii. not regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has.<br \/>\nThe above figure has five sides and 5 angles. Thus the name of the polygon is the pentagon.<br \/>\nTwo polygons are congruent when they have the same size and the same shape. The above figure does not have the same size and angles. Thus it is not a regular polygon.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-160.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 160\" width=\"100\" height=\"82\" \/><br \/>\nName: __________<br \/>\nType: __________<\/p>\n<p>Answer:<br \/>\ni. octagon<br \/>\nii. not regular<\/p>\n<p>Explanation:<br \/>\nA polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. It is named by the number of sides and angles it has.<br \/>\nThe above figure has 8 sides and 8 angles. Thus the name of the polygon is octagon.<br \/>\nTwo polygons are congruent when they have the same size and the same shape. The above figure does not have same size and angles. Thus it is not a regular polygon.<\/p>\n<p><strong>Classify each figure in as many ways as possible.<\/strong><\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-161.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 161\" width=\"86\" height=\"61\" \/><br \/>\n1. __________<br \/>\n2. __________<\/p>\n<p>Answer:<br \/>\n1. quadrilateral<br \/>\n2. trapezoid<\/p>\n<p>Explanation:<br \/>\n1. A general quadrilateral has 4 sides and 4 angles.<br \/>\n2. A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-162.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 162\" width=\"56\" height=\"82\" \/><br \/>\n\u25b3 __________<br \/>\n\u2220 __________<\/p>\n<p>Answer:<br \/>\n\u25b3 &#8211; scalene<br \/>\n\u2220 &#8211; right<\/p>\n<p>Explanation:<br \/>\nThe above triangle has different sides. Thus the triangle is a scalene triangle.<br \/>\nThe triangle with one right angle is known as a right angled triangle.<\/p>\n<p><strong>Classify the solid figure. Write prism, pyramid, cone, cylinder, or sphere.<\/strong><\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-163.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 163\" width=\"125\" height=\"90\" \/><br \/>\n__________<\/p>\n<p>Answer: prism<\/p>\n<p>Explanation:<br \/>\nIn geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-164.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 164\" width=\"122\" height=\"97\" \/><br \/>\n__________<\/p>\n<p>Answer: pyramid<\/p>\n<p>Explanation:<br \/>\nIn geometry, a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point (the vertex). Like any pyramid, it is self-dual.<\/p>\n<p><strong>Count the number of cubes used to build each solid figure.<\/strong><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-165.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 165\" width=\"106\" height=\"75\" \/><br \/>\n_____ unit cubes<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\nThe figure shows that there are 4 unit cubes.<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-166.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 166\" width=\"155\" height=\"74\" \/><br \/>\n_____ unit cubes<\/p>\n<p>Answer: 7<\/p>\n<p>Explanation:<br \/>\nBy seeing the above figure we can say that there are 7 unit cubes.<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-167.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 167\" width=\"137\" height=\"56\" \/><br \/>\n_____ unit cubes<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<br \/>\nThe figure above shows that there are 5 unit cubes.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_4920\"><\/a>Chapter Review\/Test &#8211; Page No. 4920<\/h3>\n<p><strong>Fill in the bubble completely to show your answer.<\/strong><\/p>\n<p>Question 14.<br \/>\nWhat type of triangle is shown below?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-168.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 168\" width=\"170\" height=\"93\" \/><br \/>\nOptions:<br \/>\na. acute; isosceles<br \/>\nb. acute; scalene<br \/>\nc. obtuse; scalene<br \/>\nd. obtuse; isosceles<\/p>\n<p>Answer: obtuse; scalene<\/p>\n<p>Explanation:<br \/>\nThe sides of the triangle is different. Thus it is a scalene triangle. The angle of the triangle is an obtuse angle.<br \/>\nThus the correct answer is option C.<\/p>\n<p>Question 15.<br \/>\nAngela buys a paperweight at the local gift shop. The paperweight is in the shape of a hexagonal pyramid.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-169.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 169\" width=\"132\" height=\"76\" \/><br \/>\nWhich of the following represents the correct number of faces, edges, and vertices in a hexagonal pyramid?<br \/>\nOptions:<br \/>\na. 6 faces, 12 edges, 18 vertices<br \/>\nb. 7 faces, 7 edges, 12 vertices<br \/>\nc. 7 faces, 12 edges, 7 vertices<br \/>\nd. 8 faces, 18 edges, 12 vertices<\/p>\n<p>Answer: 7 faces, 12 edges, 7 vertices<\/p>\n<p>Explanation:<br \/>\nIn geometry, a hexagonal pyramid is a pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point.<br \/>\nThe hexagonal pyramid has 7 faces, 12 edges and 7 vertices.<br \/>\nTherefore the correct answer is option C.<\/p>\n<p>Question 16.<br \/>\nA manufacturing company constructs a shipping box to hold its cereal boxes. Each cereal box has a volume of 40 cubic inches. If the shipping box holds 8 layers with 4 cereal boxes in each layer, what is the volume of the shipping box?<br \/>\nOptions:<br \/>\na. 160 cu in.<br \/>\nb. 320 cu in.<br \/>\nc. 480 cu in.<br \/>\nd. 1,280 cu in.<\/p>\n<p>Answer: 1,280 cu in.<\/p>\n<p>Explanation:<br \/>\nA manufacturing company constructs a shipping box to hold its cereal boxes.<br \/>\nEach cereal box has a volume of 40 cubic inches.<br \/>\nIf the shipping box holds 8 layers with 4 cereal boxes in each layer<br \/>\nMultiply the number of layers with boxes<br \/>\n= 8 \u00d7 4 = 32<br \/>\nThe volume of 8 layers is 40 \u00d7 32 = 1280 cubic inches<br \/>\nThus the correct answer is option D.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_4930\"><\/a>Chapter Review\/Test &#8211; Page No. 4930<\/h3>\n<p><strong>Fill in the bubble completely to show your answer.<\/strong><\/p>\n<p>Question 17.<br \/>\nSharri packed away her old summer clothes in a storage tote that had a length of 3 feet, a width of 4 feet, and a height of 3 feet. What was the volume of the tote that Sharri used?<br \/>\nOptions:<br \/>\na. 36 cu ft<br \/>\nb. 24 cu ft<br \/>\nc. 21 cu ft<br \/>\nd. 10 cu ft<\/p>\n<p>Answer: 36 cu ft<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nSharri packed away her old summer clothes in a storage tote that had a length of 3 feet, a width of 4 feet, and a height of 3 feet.<br \/>\nVolume = l \u00d7 w \u00d7 h<br \/>\nV = 3 ft \u00d7 4 ft \u00d7 3 ft<br \/>\nV = 36 cu. ft<br \/>\nThus the volume of the tote that Sharri used is 36 cu. ft.<br \/>\nThe correct answer is option A.<\/p>\n<p>Question 18.<br \/>\nWhich quadrilateral is NOT classified as a parallelogram?<br \/>\nOptions:<br \/>\na. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-170.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 170\" width=\"167\" height=\"77\" \/><br \/>\nb. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-171.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 171\" width=\"111\" height=\"64\" \/><br \/>\nc. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-172.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 172\" width=\"207\" height=\"75\" \/><br \/>\nd. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-173.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 173\" width=\"106\" height=\"104\" \/><\/p>\n<p>Answer: <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-171.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 171\" width=\"111\" height=\"64\" \/><\/p>\n<p>Explanation:<br \/>\nThe opposite sides of figure b are not parallel. Thus the figure b quadrilateral is NOT classified as a parallelogram.<\/p>\n<p>Question 19.<br \/>\nWhat is the volume of the composite figure below?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-174.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 174\" width=\"212\" height=\"126\" \/><br \/>\nOptions:<br \/>\na. 1,875 cm<sup>3<\/sup><br \/>\nb. 480 cm<sup>3<\/sup><br \/>\nc. 360 cm<sup>3<\/sup><br \/>\nd. 150 cm<sup>3<\/sup><\/p>\n<p>Answer:<br \/>\nVolume of 1st cube is 5 cm \u00d7 4 cm \u00d7 5 cm = 100 cu. cm<br \/>\nVolume of 2nd cube is 5 cm \u00d7 4 cm \u00d7 8 cm = 160 cu. cm<br \/>\nVolume of 3rd cube is 5 cm \u00d7 4 cm \u00d7 5 cm = 100 cu. cm<br \/>\nAdd all the volumes to find the volume of the composite figure<br \/>\nThat means 100 cu. cm + 160 cu. cm + 100 cu. cm = 360 cu. cm<br \/>\nTherefore the volume of the composite figure is 360 cm<sup>3<\/sup><br \/>\nThe correct answer is option C.<\/p>\n<h3><a id=\"Chapter_Review_Test_Page_No_4940\"><\/a>Chapter Review\/Test &#8211; Page No. 4940<\/h3>\n<p><strong>Constructed Response<\/strong><\/p>\n<p>Question 20.<br \/>\na. A video game store made a display of game console boxes shown at the right. The length, width, and height of each game console box is 2 feet.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-5-Answer-Key-Chapter-11-Geometry-and-Volume-img-175.jpg\" alt=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume Chapter Review\/Test img 175\" width=\"227\" height=\"222\" \/><br \/>\nWhat is the volume of the display of game console boxes? Show your work and explain your answer.<br \/>\n_____ cu ft.<\/p>\n<p>Answer: 512 cu. ft<\/p>\n<p>Explanation:<br \/>\nlength = 2 ft<br \/>\nwidth = 2 ft<br \/>\nheight = 2 ft<br \/>\nVolume of the display of game console boxes = 2 ft \u00d7 2 ft \u00d7 2 ft = 8 cu. ft<br \/>\nNumber of console boxes = 64<br \/>\n64 \u00d7 8 cu. ft = 512 cu ft<br \/>\nThe volume of the display of game console boxes = 512 cu ft<\/p>\n<p>Question 20.<br \/>\nb. On a busy Saturday, the video game store sold 22 game consoles.<br \/>\nWhat is the volume of the game console boxes that are left?<br \/>\n_____ cu ft.<\/p>\n<p>Answer: 336 cu. ft<\/p>\n<p>length = 2 ft<br \/>\nwidth = 2 ft<br \/>\nheight = 2 ft<br \/>\nThe volume of the display of game console boxes = 2 ft \u00d7 2 ft \u00d7 2 ft = 8 cu. ft<br \/>\nNumber of console boxes = 22<br \/>\nThe volume of the game console boxes that are left<br \/>\n22 \u00d7 8 cu. ft = 176 cu. ft<br \/>\nThe volume of the game console boxes that are left = 512 &#8211; 176 = 336 cu. ft<\/p>\n<p><strong>Performance Task<\/strong><\/p>\n<p>Question 21.<br \/>\nLook for two pictures of three-dimensional buildings in newspapers and magazines. The buildings should be rectangular prisms.<br \/>\nA. Paste the pictures on a large sheet of paper. Leave room to write information near the picture.<br \/>\nB. Label each building with their name and location.<br \/>\nC. Research the buildings, if the information is available. Find things that are interesting about the buildings or their location. Also find their length, width, and height to the nearest foot. If the information is not available, measure the buildings on the page in inches or centimeters, and make a good estimate of their width (such as 1\/2 the height, rounded to the nearest whole number). Find their volumes.<br \/>\nD. Make a class presentation, choosing one of the buildings you found.<\/p>\n<h3>Conclusion<\/h3>\n<p>Hoping the knowledge shared about Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume has helped you clear your queries to the possible extent. Download the 5th Grade Go Math Ch 11 Geometry and Volume Answer Key free of cost and take your preparation to next level.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume comes with Crystal Clear Solutions and makes it easy for you to grasp the topics in it. Get Acquainted with the Geometry and Volume of Rectangular Prisms in the later sections. We provide Go Math Grade 5 Answer Key by Subject experts and explained &#8230; <a title=\"Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/go-math-grade-5-answer-key-chapter-11-geometry-and-volume\/\" aria-label=\"More on Go Math Grade 5 Answer Key Chapter 11 Geometry and Volume\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":8854,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/10\/go-math-grade-5-chapter-11-geometry-and-volume-answer-key.jpeg","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/4506"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=4506"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/4506\/revisions"}],"predecessor-version":[{"id":92735,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/4506\/revisions\/92735"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/8854"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=4506"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=4506"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=4506"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}