{"id":5066,"date":"2022-03-27T09:31:57","date_gmt":"2022-03-27T04:01:57","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=5066"},"modified":"2022-04-07T12:26:03","modified_gmt":"2022-04-07T06:56:03","slug":"go-math-grade-6-answer-key-chapter-6-convert-units-of-length","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-6-answer-key-chapter-6-convert-units-of-length\/","title":{"rendered":"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length"},"content":{"rendered":"<p>In order to solve real-life mathematical problems, students must understand how the information is related, and how to convert the units. You can learn the concepts only when you start from the basics. Download Free Pdf of Go Math Grade 6 Answer Key Chapter 6 Convert Units of length to practice the exercise and homework problems. We have provided the solutions for all the questions in the HMH <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-6-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 6 Answer Key<\/a> Chapter 6 Convert Units of length.<\/p>\n<h2>Go Math Grade 6 Chapter 6 Convert Units of Length Answer Key<\/h2>\n<p>The topics covered in this chapter are Convert units of length, capacity, convert units of weight and mass, transform units, distance, rate and time formulas. This is the easiest and important among all the chapters in the 6th standard. You can score the maximum marks in the exams with the help of our HMH Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length. Tap the links which are provided according to the topics and kickstart your preparation.<\/p>\n<p><strong>Lesson 1: Convert Units of Length<\/strong><\/p>\n<ul>\n<li><a href=\"#Convert_Units_of_Length_\u2013_Page_No._317\">Convert Units of Length \u2013 Page No. 317<\/a><\/li>\n<li><a href=\"#Convert_Units_of_Length_\u2013_Page_No._318\">Convert Units of Length \u2013 Page No. 318<\/a><\/li>\n<li><a href=\"#Convert_Units_of_Length_\u2013_Page_No._319\">Convert Units of Length \u2013 Page No. 319<\/a><\/li>\n<li><a href=\"#Convert_Units_of_Length_Lesson_Check_\u2013_Page_No._320\">Convert Units of Length Lesson Check \u2013 Page No. 320<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 2: Convert Units of Capacity<\/strong><\/p>\n<ul>\n<li><a href=\"#Convert_Units_of_Capacity_\u2013_Page_No._323\">Convert Units of Capacity \u2013 Page No. 323<\/a><\/li>\n<li><a href=\"#Convert_Units_of_Capacity_\u2013_Page_No._324\">Convert Units of Capacity \u2013 Page No. 324<\/a><\/li>\n<li><a href=\"#Convert_Units_of_Capacity_\u2013_Page_No._325\">Convert Units of Capacity \u2013 Page No. 325<\/a><\/li>\n<li><a href=\"#Convert_Units_of_Capacity_Lesson_Check_\u2013_Page_No._326\">Convert Units of Capacity Lesson Check \u2013 Page No. 326<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 3: Convert Units of Weight and Mass<\/strong><\/p>\n<ul>\n<li><a href=\"#Convert_Units_of_Weight_and_Mass_\u2013_Page_No._329\">Convert Units of Weight and Mass \u2013 Page No. 329<\/a><\/li>\n<li><a href=\"#Convert_Units_of_Weight_and_Mass_\u2013_Page_No._330\">Convert Units of Weight and Mass \u2013 Page No. 330<\/a><\/li>\n<li><a href=\"#Convert_Units_of_Weight_and_Mass_\u2013_Page_No._331\">Convert Units of Weight and Mass \u2013 Page No. 331<\/a><\/li>\n<li><a href=\"#Convert_Units_of_Weight_and_Mass_Lesson_Check_\u2013_Page_No._332\">Convert Units of Weight and Mass Lesson Check \u2013 Page No. 332<\/a><\/li>\n<\/ul>\n<p><strong>Mid-Chapter Checkpoint<\/strong><\/p>\n<ul>\n<li><a href=\"#Mid-Chapter_Checkpoint_\u2013_Page_No._333\">Mid-Chapter Checkpoint \u2013 Page No. 333<\/a><\/li>\n<li><a href=\"#Mid-Chapter_Checkpoint_\u2013_Page_No._334\">Mid-Chapter Checkpoint \u2013 Page No. 334<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 4: Transform Units<\/strong><\/p>\n<ul>\n<li><a href=\"#Transform_Units_\u2013_Page_No._337\">Transform Units \u2013 Page No. 337<\/a><\/li>\n<li><a href=\"#Transform_Units_\u2013_Page_No._338\">Transform Units \u2013 Page No. 338<\/a><\/li>\n<li><a href=\"#Transform_Units_\u2013_Page_No._339\">Transform Units \u2013 Page No. 339<\/a><\/li>\n<li><a href=\"#Transform_Units_Lesson_Check_\u2013_Page_No._340\">Transform Units Lesson Check \u2013 Page No. 340<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5: Problem Solving \u2022 Distance, Rate, and Time Formulas<\/strong><\/p>\n<ul>\n<li><a href=\"#Distance,_Rate,_and_Time_Formulas_\u2013_Page_No._343\">Distance, Rate, and Time Formulas \u2013 Page No. 343<\/a><\/li>\n<li><a href=\"#Distance,_Rate,_and_Time_Formulas_\u2013_Page_No._344\">Distance, Rate, and Time Formulas \u2013 Page No. 344<\/a><\/li>\n<li><a href=\"#Distance,_Rate,_and_Time_Formulas_\u2013_Page_No._345\">Distance, Rate, and Time Formulas \u2013 Page No. 345<\/a><\/li>\n<li><a href=\"#Distance,_Rate,_and_Time_Formulas_Lesson_Check_\u2013_Page_No._346\">Distance, Rate, and Time Formulas Lesson Check \u2013 Page No. 346<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 6 Review\/Test<\/strong><\/p>\n<ul>\n<li><a href=\"#Review\/Test_\u2013_Page_No._347\">Review\/Test \u2013 Page No. 347<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._348\">Review\/Test \u2013 Page No. 348<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._349\">Review\/Test \u2013 Page No. 349<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._350\">Review\/Test \u2013 Page No. 350<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._351\">Review\/Test \u2013 Page No. 351<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._352\">Review\/Test \u2013 Page No. 352<\/a><\/li>\n<\/ul>\n<h3><a id=\"Convert_Units_of_Length_\u2013_Page_No._317\"><\/a>Share and Show &#8211; Page No. 317<\/h3>\n<p><strong>Convert to the given unit.<\/strong><\/p>\n<p>Question 1.<br \/>\n3 miles = ? yards<br \/>\n_______ yd<\/p>\n<p>Answer:<br \/>\n5280 yd<\/p>\n<p>Explanation:<br \/>\n3 miles = ? yards<br \/>\n1 yard = 3 feet<br \/>\n1 mile = 5280 feet<br \/>\nSo, 3 miles = 3 x 5280 feet<br \/>\n= 15,840 feet<br \/>\n3 feet = 1 yard<br \/>\nThen, 15,840 feet = 15,840 \u00f7 3<br \/>\n= 5280 yards<br \/>\nSo, 3 miles = 5280 yards<\/p>\n<p>Question 2.<br \/>\n43 dm = ? hm<br \/>\n_______ hm<\/p>\n<p>Answer:<br \/>\n0.043 hm<\/p>\n<p>Explanation:<br \/>\n43 dm= ?hm<br \/>\n10 decimeters = 1 meter<br \/>\n1 hectometer = 100 meters<br \/>\n1 meter = 10 decimeter<br \/>\n100 meters = 10&#215;100 decimeters = 1000 decimeters<br \/>\nSo 1 hectometer = 1000 decimeters<br \/>\nThen, 43 decimeters = 43\/1000 = 0.043 hectometers<br \/>\nSo, 43 dm = 0.043 hm<\/p>\n<p>Question 3.<br \/>\n9 yd = ? in.<br \/>\n_______ inches<\/p>\n<p>Answer:<br \/>\n324 inches<\/p>\n<p>Explanation:<br \/>\n9 yd= ? in.<br \/>\n1 yard = 36 inches<br \/>\nSo 9 yards = 9&#215;36 = 324 inches<br \/>\n9 yards = 324 inches<\/p>\n<p>Question 4.<br \/>\n72 ft = 24 yd<br \/>\n_______ yd<\/p>\n<p>Answer:<br \/>\n24 yd<\/p>\n<p>Explanation:<br \/>\n72 ft = 24 yd<br \/>\n1 yard = 3 feet<br \/>\nSo, 1 feet = 1\/3 yard<br \/>\nThen, 72 feet = 72\/3 yard<br \/>\nSo, 72 feet = 24 yards<\/p>\n<p>Question 5.<br \/>\n7,500 mm = ? dm<br \/>\n_______ dm<\/p>\n<p>Answer:<br \/>\n75 dm<\/p>\n<p>Explanation:<br \/>\n7,500 mm = ?dm<br \/>\n1000 millimeters = 1 meter<br \/>\n10 decimeters = 1 meter<br \/>\nSo, 1000 millimeters = 10 decimeters<br \/>\nThen 1 millimeter = 10\/1000 decimeter = 1\/100 decimeters<br \/>\nSo 7500 millimeters = 7500\/100 decimeters<br \/>\nThen 7500 mm = 75 dm<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p>Question 6.<br \/>\nRohan used 9 yards of ribbon to wrap gifts. How many inches of ribbon did he use?<br \/>\n_______ inches<\/p>\n<p>Answer:<br \/>\n324 inches<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nRohan used 9 yards of ribbon to wrap gifts<br \/>\n1 yard = 36 inches<br \/>\nSo, 9 yards = 9&#215;36 = 324 inches<br \/>\nSo, Rohan used 324 inches ribbon to wrap gifts<\/p>\n<p>Question 7.<br \/>\nOne species of frog can grow to a maximum length of 12.4 millimeters. What is the maximum length of this frog species in centimeters?<br \/>\n_______ cm<\/p>\n<p>Answer:<br \/>\n1.24 cm<\/p>\n<p>Explanation:<br \/>\nOne species of frog can grow to a maximum length of 12.4 millimeters.<br \/>\nFrom the given information<br \/>\nOne species of frog can grow to a maximum length of 12.4 millimeters<br \/>\n1000 millimeters = 1 meter<br \/>\n100 centimeters = 1 meter<br \/>\nSo, 1000 millimeters = 100 centimeters<br \/>\n1 millimeter = 100\/1000 centimeters = 1\/10 centimeters<br \/>\nSo, 12.4 millimeters = 12.4\/10 centimeters = 1.24 centimeters<br \/>\n12.4 millimeters = 1.24 centimeters<\/p>\n<p>Question 8.<br \/>\nThe height of the Empire State Building measured to the top of the lightning rod is approximately 443.1 meters. What is this height in hectometers?<br \/>\n_______ hectometers<\/p>\n<p>Answer:<br \/>\n4.431 hectometers<\/p>\n<p>Explanation:<br \/>\nThe height of the Empire State Building measured to the top of the lightning rod is approximately 443.1 meters.<br \/>\n443.1 meters in hectometers<br \/>\n1 hectometer = 100 meters<br \/>\nThen, 1 meter = 1\/100 hectometers<br \/>\nSo, 443.1 meters = 443.1\/100 hectometers<br \/>\n443.1 meters = 4.431 hectometers<\/p>\n<p>Question 9.<br \/>\nA snail moves at a speed of 2.5 feet per minute. How many yards will the snail have moved in half of an hour?<br \/>\n_______ yards<\/p>\n<p>Answer:<br \/>\n25 yards<\/p>\n<p>Explanation:<br \/>\nFrom the given information<br \/>\nA snail moves at a speed of 2.5 feet per minute<br \/>\n1 hour = 60 minutes<br \/>\n1 minute = 2.5 feet speed<br \/>\n60 minutes = 60&#215;2.5 feet = 150 feet<br \/>\n1 yard = 3 feet<br \/>\nSo 1 feet = 1\/3 yards<br \/>\nThen, 150 feet = 150\/3 yards = 50 yards per hour<br \/>\nFor half of an hour, a snail moves 25 yards<\/p>\n<p><strong>Practice: Copy and Solve Compare. Write &lt;, &gt;, or =.<\/strong><\/p>\n<p>Question 10.<br \/>\n32 feet _______ 11 yards<\/p>\n<p>Answer:<br \/>\n32 feet &lt; 11 yards<\/p>\n<p>Explanation:<br \/>\n32 feet _______ 11 yards<br \/>\n1 yard = 3 feet<br \/>\nSo, 11 yards = 11&#215;3 = 33 feet<br \/>\nSo, 32 feet &lt; 11 yards<\/p>\n<p>Question 11.<br \/>\n537 cm _______ 5.37 m<\/p>\n<p>Answer:<br \/>\n537 cm = 5.37 m<\/p>\n<p>Explanation:<br \/>\n537 cm _______ 5.37 m<br \/>\n100 centimeters = 1 meter<br \/>\n1 centimeter = 0.01 meter<br \/>\nSo, 537 centimeters = 537&#215;0.01 meters<br \/>\nThat is 537 centimeters = 5.37 meters<\/p>\n<p>Question 12.<br \/>\n75 inches _______ 6 feet<\/p>\n<p>Answer:<br \/>\n75 inches &gt; 6 feet<\/p>\n<p>Explanation:<br \/>\n75 inches _______ 6 feet<br \/>\n1 foot = 12 inches<br \/>\n6 feet = 6&#215;12 = 72 inches<br \/>\nSo, 75 inches &gt; 6 feet<\/p>\n<h3><a id=\"Convert_Units_of_Length_\u2013_Page_No._318\"><\/a>Problem Solving + Applications &#8211; Page No. 318<\/h3>\n<p><strong>What\u2019s the Error?<\/strong><\/p>\n<p>Question 13.<br \/>\nThe Redwood National Park is home to some of the largest trees in the world. Hyperion is the tallest tree in the park, with a height of approximately 379 feet. Tom wants to find the height of the tree in yards.<br \/>\nTom converted the height this way :<br \/>\n3 feet = 1 yard<br \/>\nconversion factor: \\(\\frac{3 \\mathrm{ft}}{1 \\mathrm{yd}}\\)<br \/>\n\\(\\frac{379 \\mathrm{ft}}{1} \\times \\frac{3 \\mathrm{ft}}{1 \\mathrm{yd}}\\) = 1,137 yd<br \/>\nFind and describe Tom\u2019s error.<br \/>\nShow how to correctly convert from 379 feet to yards.<br \/>\nExplain how you knew Tom\u2019s answer was incorrect.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nconversion factor: 3ft1yd<br \/>\n379ft1 \u00d7 3ft1yd = 1,137 yd<br \/>\nWe need to divide the 379 feet with 3 to get the height of the Hyperion tree, but tom multiplies the 379 with 3 and that is the error part<br \/>\n1 yard = 3 feet<br \/>\n1 feet = 1\/3 yards<br \/>\nSo, 379 feet = 379\/3 yards = 126.3 yards<br \/>\nSo, the height of the Hyperion tree is 126.3 yards<\/p>\n<p>Question 14.<br \/>\nChoose &lt;, &gt;, or =.<br \/>\n14a. 12 yards \u039f 432 inches<br \/>\n14b. 321 cm \u039f 32.1 m<br \/>\n12 yards _______ 432 inches<br \/>\n321 cm _______ 32.1 m<\/p>\n<p>Answer:<br \/>\n14a. 12 yards \u039f 432 inches<br \/>\n14b. 321 cm \u039f 32.1 m<br \/>\n12 yards = 432 inches<br \/>\n321 cm &lt; 32.1 m<\/p>\n<p>Explanation:<br \/>\n14a. 12 yards \u039f 432 inches<br \/>\n1 yard = 36 inches<br \/>\n12 yards = 12&#215;36 = 432 inches<br \/>\nSo, 12 yards = 432 inches<br \/>\n14b. 321 cm \u039f 32.1 m<br \/>\n100 centimeters = 1 meter<br \/>\n1 centimeter = 0.01 meter<br \/>\n321 centimeters = 321&#215;0.01 meters = 3.21 meters<br \/>\n3.21 &lt; 32.1<br \/>\nSo, 321 centimeters &lt; 32.1 meters<\/p>\n<h3><a id=\"Convert_Units_of_Length_\u2013_Page_No._319\"><\/a>Convert Units of Length &#8211; Page No. 319<\/h3>\n<p><strong>Convert to the given unit.<\/strong><\/p>\n<p>Question 1.<br \/>\n42 ft = ? yd<br \/>\n_______ yd<\/p>\n<p>Answer:<br \/>\n14yd<\/p>\n<p>Explanation:<br \/>\n42 ft= ?yd<br \/>\n3 feet = 1 yard<br \/>\n1 feet = 1\/3 yard<br \/>\nSo, 42 feet = 42\/3 = 14 yard<br \/>\nSo, 42 feet = 14 yards<\/p>\n<p>Question 2.<br \/>\n2,350 m = ? km<br \/>\n_______ km<\/p>\n<p>Answer:<br \/>\n2.350 km<\/p>\n<p>Explanation:<br \/>\n2,350 m = ? km<br \/>\n1 kilometer = 1000 meters<br \/>\n1 meter = 1\/1000 kilometers<br \/>\nThen, 2350 meters = 2350\/1000 kilometers<br \/>\n2350 meters = 2.350 kilometers<\/p>\n<p>Question 3.<br \/>\n18 ft = ? in.<br \/>\n_______ inches<\/p>\n<p>Answer:<br \/>\n216 inches<\/p>\n<p>Explanation:<br \/>\n18 ft= ? in<br \/>\n1 foot = 12 inches<br \/>\n18 feet = 12&#215;18 = 216 inches<br \/>\n18 feet = 216 inches<\/p>\n<p>Question 4.<br \/>\n289 m = ? dm<br \/>\n_______ dm<\/p>\n<p>Answer:<br \/>\n2890 dm<\/p>\n<p>Explanation:<br \/>\n289 m = ?dm<br \/>\n10 decimeters = 1 meter<br \/>\n289 meters = 289&#215;10 decimeters<br \/>\nSo, 289 meters = 2890 decimeters<\/p>\n<p>Question 5.<br \/>\n5 mi = ? yd<br \/>\n_______ yd<\/p>\n<p>Answer:<br \/>\n8,800 yd<\/p>\n<p>Explanation:<br \/>\n1. 5 mi = ? yd<br \/>\n1 mile = 1760 yards<br \/>\n5 miles = 5&#215;1760 = 8800 yards<br \/>\n5 mi = 8,800 yards<\/p>\n<p>Question 6.<br \/>\n35 mm = ? cm<br \/>\n_______ cm<\/p>\n<p>Answer:<br \/>\n3.5 cm<\/p>\n<p>Explanation:<br \/>\n35 mm = ? cm<br \/>\n1000 millimeters = 1 meter<br \/>\n100 centimeters = 1 meter<br \/>\nSo, 1000 millimeters = 100 centimeters<br \/>\n1 millimeter = 100\/1000 centimeters<br \/>\nThen, 35 millimeters = 35&#215;100\/1000 centimeters = 3.5 centimeters<br \/>\n35 millimeters = 3.5 centimeters<\/p>\n<p><strong>Compare. Write &lt;, &gt;, or =.<\/strong><\/p>\n<p>Question 7.<br \/>\n1.9 dm _______ 1,900 mm<\/p>\n<p>Answer:<br \/>\n1.9 dm &lt; 1,900 mm<\/p>\n<p>Explanation:<br \/>\n1.9 dm _______ 1,900 mm<br \/>\n10 decimeters = 1 meter<br \/>\n1000 millimeters = 1 meter<br \/>\nSo, 10 decimeters = 1000 millimeters<br \/>\n1 decimeter = 100 millimeters<br \/>\n1.9 decimeters = 1.9 x 100 = 190 millimeters<br \/>\nSo, 1.9 decimeters = 190 millimeters<br \/>\nSo, 1.9 dm &lt; 1900 mm<\/p>\n<p>Question 8.<br \/>\n12 ft _______ 4 yd<\/p>\n<p>Answer:<br \/>\n12 ft\u00a0 = 4 yd<\/p>\n<p>Explanation:<br \/>\n12 ft _______ 4 yd<br \/>\n3 feet = 1 yard<br \/>\n3&#215;4 feet = 12 feet = 1&#215;4 = 4 yard<br \/>\nSo, 12 feet = 4 yards<\/p>\n<p>Question 9.<br \/>\n56 cm _______ 56,000 km<\/p>\n<p>Answer:<br \/>\n56 cm &lt; 56,000 km<\/p>\n<p>Explanation:<br \/>\n56 cm _______ 56,000 km<br \/>\n100 centimeters = 1 meter<br \/>\n1 kilometer = 1000 meters<br \/>\n0.01 kilometer = 1 meter<br \/>\nSo, 100 centimeters = 0.01 kilometers<br \/>\n1 centimeter = 0.01\/100 kilometers<br \/>\n56 centimeters = 56 x 0.01\/100 kilometers =0.0056 kilometers<br \/>\nSo, 56 cm &lt; 56,000 km<\/p>\n<p>Question 10.<br \/>\n98 in. _______ 8 ft<\/p>\n<p>Answer:<br \/>\n98 in. &gt; 8 ft<\/p>\n<p>Explanation:<br \/>\n98 in. _______ 8 ft<br \/>\n1 foot = 12 inches<br \/>\n8 feet = 8&#215;12 = 96 inches<br \/>\nSo, 98 in &gt; 8 feet<\/p>\n<p>Question 11.<br \/>\n64 cm _______ 630 mm<\/p>\n<p>Answer:<br \/>\n64 cm\u00a0 &gt; 630 mm<\/p>\n<p>Explanation:<br \/>\n64 cm _______ 630 mm<br \/>\n1000 millimeters = 1 meter<br \/>\n100 centimeters = 1 meter<br \/>\nSo, 100 centimeters = 1000 millimeters<br \/>\n1 centimeter = 10 millimeters<br \/>\nso, 64 centimeters = 64&#215;10 millimeters = 640 millimeters<br \/>\nthen, 64 cm &gt; 630 mm<\/p>\n<p>Question 12.<br \/>\n2 mi _______ 10,560 ft<\/p>\n<p>Answer:<br \/>\n2 mi\u00a0 = 10,560 ft<\/p>\n<p>Explanation:<br \/>\n1 mi _______ 10,560 ft<br \/>\n1 mile = 5280 feet<br \/>\nso, 2 miles = 2&#215;5280 = 10560 feet<br \/>\nthen, 2 miles = 10,560 feet<\/p>\n<p>Question 13.<br \/>\nThe giant swallowtail is the largest butterfly in the United States. Its wingspan can be as large as 16 centimeters. What is the maximum wingspan in millimeters?<br \/>\n_______ mm<\/p>\n<p>Answer:<br \/>\n160 mm<\/p>\n<p>Explanation:<br \/>\nThe giant swallowtail is the largest butterfly in the United States. Its wingspan can be as large as 16 centimeters.<br \/>\n100 centimeters = 1 meter<br \/>\n1000 millimeters = 1 meter<br \/>\nSo, 100 centimeters = 1000 millimeters<br \/>\n1 centimeters = 10 millimeters<br \/>\nthen 16 centimeters = 16&#215;10 millimeters = 160 millimeters<br \/>\nSo, giant swallowtail wingspan is 160 millimeters large<\/p>\n<p>Question 14.<br \/>\nThe 102nd floor of the Sears Tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground. How many yards above the ground is the 102nd floor?<br \/>\n_______ yd<\/p>\n<p>Answer:<br \/>\n477 yd<\/p>\n<p>Explanation:<br \/>\nThe 102nd floor of the Sears Tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground.<br \/>\n3 feet = 1 yard<br \/>\n1 feet = 1\/3 yard<br \/>\nThen, 1431 feet = 1431\/3 yard = 477 yards<br \/>\nSo, the height of the 102nd floor from the ground = 477 yards<\/p>\n<p>Question 15.<br \/>\nExplain why units can be simplified first when measurements are multiplied.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nUnits can be simplified first, because if (60 min)\/(1 hr) = 1, then I can multiply any measurement by that fraction and not change its value.<\/p>\n<h3><a id=\"Convert_Units_of_Length_Lesson_Check_\u2013_Page_No._320\"><\/a>Lesson Check &#8211; Page No. 320<\/h3>\n<p>Question 1.<br \/>\nJustin rides his bicycle 2.5 kilometers to school. Luke walks 1,950 meters to school. How much farther does Justin ride to school than Luke walks to school?<br \/>\n_______ meters<\/p>\n<p>Answer:<br \/>\n550 meters<\/p>\n<p>Explanation:<br \/>\nJustin rides his bicycle 2.5 kilometers to school. Luke walks 1,950 meters to school.<br \/>\n1 kilometer = 1000 meters<br \/>\nThen, 2.5 kilometers = 2.5 x 1000 = 2500 meters<br \/>\nSo, Justin rides his bicycle 2500 meters and Luke walks 1950 meters<br \/>\n2500 \u2013 1950 = 550 meters<br \/>\nSo, Justin rides more 550 meters than Luke to school<\/p>\n<p>Question 2.<br \/>\nThe length of a room is 10 \\(\\frac{1}{2}\\) feet. What is the length of the room in inches?<br \/>\n_______ inches<\/p>\n<p>Answer:<br \/>\n126 inches<\/p>\n<p>Explanation:<br \/>\n1 feet = 12 inches<br \/>\n10 1\/2 feet = ?<br \/>\n10 1\/2 = 21\/2<br \/>\n21\/2 \u00d7 12 = 21 \u00d7 6 = 126<br \/>\n126 inches<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nEach unit on the map represents 1 mile. What is the distance between the campground and the waterfall?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-6-Convert-Units-of-Length-img-1.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length img 1\" width=\"260\" height=\"262\" \/><br \/>\n_______ miles<\/p>\n<p>Answer:<br \/>\n4 miles<\/p>\n<p>Explanation:<br \/>\nEach unit on the map represents 1 mile<br \/>\nThe distance between the campground and the waterfall is 4 units that is 4 miles<\/p>\n<p>Question 4.<br \/>\nOn a field trip, 2 vans can carry 32 students. How many students can go on a field trip when there are 6 vans?<br \/>\n_______ students<\/p>\n<p>Answer:<br \/>\n96 students<\/p>\n<p>Explanation:<br \/>\nOn a field trip, 2 vans can carry 32 students<br \/>\nSo, 1 van can carry the students = 32\/2 = 16 students<br \/>\nThen, students can go in 6 vans = 6&#215;16 = 96 students<\/p>\n<p>Question 5.<br \/>\nAccording to a 2008 survey, \\(\\frac{29}{50}\\) of all teens have sent at least one text message in their lives. What percent of teens have sent a text message?<br \/>\n_______ %<\/p>\n<p>Answer:<br \/>\n58%<\/p>\n<p>Explanation:<br \/>\nFrom the given information<br \/>\nAccording to a 2008 survey<br \/>\n29\/50 of all teens have sent at least one text message in their lives<br \/>\nPercent of teens have sent a text message = 29\/50 x 100 = 58%<br \/>\nSo, 58% of teens have sent text messages<\/p>\n<p>Question 6.<br \/>\nOf the students in Ms. Danver\u2019s class, 6 walk to school. This represents 30% of her students. How many students are in Ms. Danver\u2019s class?<br \/>\n_______ students<\/p>\n<p>Answer:<br \/>\n20 students<\/p>\n<p>Explanation:<br \/>\nOf the students in Ms. Danver\u2019s class, 6 walk to school<br \/>\nIt represents 30% of her students<br \/>\nThat is 30% = 6 students<br \/>\nThen 100% = (100&#215;6)\/30 = 20<br \/>\nTotal number of students in Ms. Danver\u2019s class = 20 students<\/p>\n<h3><a id=\"Convert_Units_of_Capacity_\u2013_Page_No._323\"><\/a>Share and Show &#8211; Page No. 323<\/h3>\n<p><strong>Convert to the given unit.<\/strong><\/p>\n<p>Question 1.<br \/>\n5 quarts = ? cups<br \/>\n_______ cups<\/p>\n<p>Answer:<br \/>\n20 cups<\/p>\n<p>Explanation:<br \/>\n5 quarts = ? cups<br \/>\n4cups = 1 quart<br \/>\nSo, 5 quarts = 5&#215;4 = 20 cups<br \/>\n5 quarts = 20 cups<\/p>\n<p>Question 2.<br \/>\n6.7 liters = ? hectoliters<br \/>\n_______ hectoliters<\/p>\n<p>Answer:<br \/>\n0.067 hectoliters<\/p>\n<p>Explanation:<br \/>\n1.7 liters = ? hectoliters<br \/>\n1 hectoliter= 100 liters<br \/>\n1 liter = 1\/100 hectoliters<br \/>\n6.7 liters = 6.7\/100 hectoliters = 0.067 hectoliters<\/p>\n<p>Question 3.<br \/>\n5.3 kL = ? L<br \/>\n_______ L<\/p>\n<p>Answer:<br \/>\n5300 L<\/p>\n<p>Explanation:<br \/>\n5.3 kL= ? L<br \/>\n1 Kiloliter = 1000 liters<br \/>\nThen, 5.3 kiloliters = 5.3 x 1000 = 5300 liters<br \/>\nSo, 5.3 kL = 5300 L<\/p>\n<p>Question 4.<br \/>\n36 qt = ? gal<br \/>\n_______ gal<\/p>\n<p>Answer:<br \/>\n9 gal<\/p>\n<p>Explanation:<br \/>\n36 qt = ? gal<br \/>\n4 quarts = 1 gallon<br \/>\nSo, 36 qts = 9&#215;4 quarts = 9&#215;1 gallons<br \/>\nSo, 36 qt = 9 gallons<\/p>\n<p>Question 5.<br \/>\n5,000 mL = ? cL<br \/>\n_______ cL<\/p>\n<p>Answer:<br \/>\n500 cL<\/p>\n<p>Explanation:<br \/>\n5,000 mL = ?cL<br \/>\n1000 milliliters = 1 liter<br \/>\n100 centiliters = 1 liter<br \/>\nSo, 1000 milliliters = 100 centiliters<br \/>\nThen, 5000 milliliters = 5&#215;100 centiliters = 500 centiliters<br \/>\n5000 milliliters = 500 centiliters<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p>Question 6.<br \/>\nIt takes 41 gallons of water for a washing machine to wash a load of laundry. How many quarts of water does it take to wash one load?<br \/>\n_______ quarts<\/p>\n<p>Answer:<br \/>\n164 quarts<\/p>\n<p>Explanation:<br \/>\nIt takes 41 gallons of water for a washing machine to wash a load of laundry.<br \/>\n41 gallons of water is required for a washing machine to wash a load of laundry<br \/>\n1 gallon = 4 quarts<br \/>\nThen, 41 gallons = 41&#215;4 quarts = 164 quarts<br \/>\n164 quarts of water us required for a washing machine to wash a load of laundry<\/p>\n<p>Question 7.<br \/>\nSam squeezed 237 milliliters of juice from 4 oranges. How many liters of juice did Sam squeeze?<br \/>\n_______ L<\/p>\n<p>Answer:<br \/>\n0.237 L<\/p>\n<p>Explanation:<br \/>\nSam squeezed 237 milliliters of juice from 4 oranges<br \/>\n1000 liliters = 1 liter<br \/>\n1 milliliter = 1\/1000 liter<br \/>\n237 milliliters = 237\/1000 liters<br \/>\n237 milliliters = 0.237 liters<\/p>\n<p>Question 8.<br \/>\nReason Quantitatively A bottle contains 3.78 liters of water. Without calculating, determine whether there are more or less than 3.78 deciliters of water in the bottle. Explain your reasoning<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nReason Quantitatively A bottle contains 3.78 liters of water<br \/>\n1 liter = 10 deciliters<br \/>\nThen 3.78 liters = 3.78&#215;10 = 37.8 deciliters<br \/>\nSo, bottle contains more than 3.78 deciliters of water<\/p>\n<p>Question 9.<br \/>\nTonya has a 1-quart, a 2-quart, and a 3-quart bowl. A recipe asks for 16 ounces of milk. If Tonya is going to triple the recipe, what is the smallest bowl that will hold the milk?<br \/>\nThe _______ bowl<\/p>\n<p>Answer:<br \/>\nThe 3 quarts bowl<\/p>\n<p>Explanation:<br \/>\nTonya has a 1-quart, a 2-quart, and a 3-quart bowl<br \/>\nA recipe asks for 16 ounces of milk<br \/>\nIf Tonya triples the recipe, then 1 quart = 3, 2 quart = 6, 3 quart = 9<br \/>\nThe smallest bowl is 3 quarts<\/p>\n<p><strong>Practice: Copy and Solve Compare. Write &lt;, &gt;, or =.<\/strong><\/p>\n<p>Question 10.<br \/>\n700,000 L _______ 70 kL<\/p>\n<p>Answer:<br \/>\n700,000 L &gt; 70 kL<\/p>\n<p>Explanation:<br \/>\n700,000 L _______ 70 kL<br \/>\n1 kiloliter = 1000 liters<br \/>\nThen, 70 kiloliters = 70&#215;1000 liters = 70,000 liters<br \/>\nSo, 700,000 liters &gt; 70 kiloliters<\/p>\n<p>Question 11.<br \/>\n6 gal _______ 30 qt<\/p>\n<p>Answer:<br \/>\n6 gal &lt; 30 qt<\/p>\n<p>Explanation:<br \/>\n6 gal _______ 30 qt<br \/>\n4 quarts = 1 gallon<br \/>\nSo, 6 gallons = 6&#215;4 = 24 quarts<br \/>\nSo, 6 gallons &lt; 30 quarts<\/p>\n<p>Question 12.<br \/>\n54 kL _______ 540,000 dL<\/p>\n<p>Answer:<br \/>\n54 kL\u00a0 = 540,000 dL<\/p>\n<p>Explanation:<br \/>\n54 kL _______ 540,000 dL<br \/>\n1 kiloliter = 1000 liters<br \/>\n1 liter = 10 deciliters<br \/>\nThen, 1000 liters = 10&#215;1000 = 10,000 deciliters<br \/>\nSo, 1 kiloliter = 10,000 deciliters<br \/>\nThen, 54 kiloliters = 54&#215;10,000 = 540,000 deciliters<br \/>\nSo, 54 kL = 540,000 dL<\/p>\n<p>Question 13.<br \/>\n10 pt _______ 5 qt<\/p>\n<p>Answer:<br \/>\n10 pt\u00a0 = 5 qt<\/p>\n<p>Explanation:<br \/>\n10 pt _______ 5 qt<br \/>\n1 pints = 1 quart<br \/>\nthen, 10 pints = 2&#215;5 pints = 1&#215;5 quart = 5 quarts<br \/>\nSo, 10 pints = 5 quarts<\/p>\n<p>Question 14.<br \/>\n500 mL _______ 50 L<\/p>\n<p>Answer:<br \/>\n500 mL\u00a0 &lt; 50 L<\/p>\n<p>Explanation:<br \/>\n500 mL _______ 50 L<br \/>\n1000 milliliters = 1 liter<br \/>\nThen, 1000\/2 milliliters = 500 milliliters = \u00bd liters= 0.5 liters<br \/>\nSo, 500 mL &lt; 50 L<\/p>\n<p>Question 15.<br \/>\n14 c _______ 4 qt<\/p>\n<p>Answer:<br \/>\n14 c\u00a0 &lt; 4 qt<\/p>\n<p>Explanation:<\/p>\n<p>14 c _______ 4 qt<br \/>\n4 cups = 1 quart<br \/>\n1 cup = \u00bc quart<br \/>\nThen, 14 cups = 14\/4 quarts = 3.5 quarts<br \/>\nSo, 14 cups &lt; 4 quarts<\/p>\n<h3><a id=\"Convert_Units_of_Capacity_\u2013_Page_No._324\"><\/a>Unlock the Problem &#8211; Page No. 324<\/h3>\n<p>Question 16.<br \/>\nJeffrey is loading cases of bottled water onto a freight elevator. There are 24 one-pint bottles in each case. The maximum weight that the elevator can carry is 1,000 pounds. If 1 gallon of water weighs 8.35 pounds, what is the maximum number of full cases Jeffrey can load onto the elevator?<br \/>\na. What do you need to find?<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nthe maximum number of full cases Jeffrey can load onto the elevator<\/p>\n<p>Question 16.<br \/>\nb. How can you find the weight of 1 case of bottled water? What is the weight?<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nUsing one-pint bottles and 1 gallon of water weighs 8.35 pounds information<\/p>\n<p>Explanation:<\/p>\n<p>Question 16.<br \/>\nc. How can you find the number of cases that Jeffrey can load onto the elevator?<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\n1 US liquid pint is equivalent to 0.125 US liquid gallons.<br \/>\nSo, 24 one-pint bottles is equivalent to (24 \u00d7 0.125) =3 gallons.<br \/>\nTherefore, one full case of bottled water is equal to 3 gallons.<br \/>\nNow, 1 gallon is equal to 8.35 pounds<br \/>\nAnd hence, 3 gallons is equal to (8.35 \u00d7 3) = 25.05 pounds.<\/p>\n<p>Question 16.<br \/>\nd. What is the maximum number of full cases Jeffrey can load onto the elevator?<br \/>\n_______ cases<\/p>\n<p>Answer:<br \/>\n39 cases<\/p>\n<p>Explanation:<br \/>\n1 US liquid pint is equivalent to 0.125 US liquid gallons.<br \/>\nSo, 24 one-pint bottles is equivalent to (24 \u00d7 0.125) =3 gallons.<br \/>\nTherefore, one full case of bottled water is equal to 3 gallons.<br \/>\nNow, 1 gallon is equal to 8.35 pounds<br \/>\nAnd hence, 3 gallons is equal to (8.35 \u00d7 3) = 25.05 pounds.<br \/>\nIf the maximum weight that the elevator can carry is 1000 pounds, then the maximum number of cases of bottled water that the elevator can carry is \u2248 39<br \/>\nWe can not take the number as 40, because then the total weight will become more than 1000 pounds which is not allowed.<\/p>\n<p>Question 17.<br \/>\nMonica put 1 liter, 1 deciliter, 1 centiliter, and 1 milliliter of water into a bowl. How many milliliters of water did she put in the bowl?<br \/>\n_______ milliliters<\/p>\n<p>Answer:<br \/>\n1111 milliliters<\/p>\n<p>Explanation:<br \/>\nMonica put 1 liter, 1 deciliter, 1 centiliter, and 1 milliliter of water into a bowl<br \/>\n1 liter = 1000 milliliters<br \/>\n1 liter = 10 deciliters<br \/>\nso, 10 deciliters = 1000 milliliters<br \/>\nthen, 1 deciliter = 100 milliliters<br \/>\n1 liter = 100 centiliters<br \/>\nSo, 100 centiliters = 1000 milliliters<br \/>\nThen, 1 centiliter = 10 milliliters<br \/>\n1 liter + 1 deciliter + 1 centiliter + 1 milliliter<br \/>\n= 1000 milliliters + 100 milliliters + 10 milliliters + 1 milliliter<br \/>\n= 1111 milliliters<br \/>\nMonica filled the bowl with 1111 milliliters of water<\/p>\n<p>Question 18.<br \/>\nSelect the conversions that are equivalent to 235 liters. Mark all that apply.<br \/>\nOptions:<br \/>\na. 235,000 milliliters<br \/>\nb. 0.235 milliliters<br \/>\nc. 235,000 kiloliters<br \/>\nd. 0.235 kiloliters<\/p>\n<p>Answer:<br \/>\na. 235,000 milliliters<\/p>\n<p>Explanation:<br \/>\na. 235,000 milliliters<br \/>\n1000 milliliters = 1 liter<br \/>\nThen, 235&#215;1000 milliliters = 1&#215;235 liters = 235 liters<br \/>\nSo, 235,000 milliliters are equivalent to 235 liters<\/p>\n<h3><a id=\"Convert_Units_of_Capacity_\u2013_Page_No._325\"><\/a>Convert Units of Capacity &#8211; Page No. 325<\/h3>\n<p><strong>Convert to the given unit.<\/strong><\/p>\n<p>Question 1.<br \/>\n7 gallons = ? quarts<br \/>\n_______ quarts<\/p>\n<p>Answer:<br \/>\n28 quarts<\/p>\n<p>Explanation:<br \/>\n6 gallons = ? quarts<br \/>\n4 quarts = 1 gallon<br \/>\nthen, 7 gallons = 4&#215;7 = 28 quarts<\/p>\n<p>Question 2.<br \/>\n5.1 liters = ? kiloliters<br \/>\n_______ kiloliters<\/p>\n<p>Answer:<br \/>\n0.0051 kiloliters<\/p>\n<p>Explanation:<br \/>\n5.1 liters = ? kiloliters<br \/>\n1 kiloliter = 1000 liters<br \/>\nSo, 1 liter = 1\/1000 kiloliter<br \/>\nThen, 5.1 liters = 5.1\/1000 kiloliters<br \/>\n5.1 liters = 0.0051 kiloliters<\/p>\n<p>Question 3.<br \/>\n20 qt = ? gal<br \/>\n_______ gal<\/p>\n<p>Answer:<br \/>\n5 gal<\/p>\n<p>Explanation:<br \/>\n20 t = ? gal<br \/>\n4 quarts = 1 gallon<br \/>\nThen, 4&#215;5 quarts = 1&#215;5 gallons<br \/>\nThat is 20 quarts = 5 gallons<\/p>\n<p>Question 4.<br \/>\n40 L = ? mL<br \/>\n_______ mL<\/p>\n<p>Answer:<br \/>\n40,000 mL<\/p>\n<p>Explanation:<br \/>\n40 L = ? mL<br \/>\n1000 milliliters = 1 liter<br \/>\nThen, 40 liters = 40&#215;1000 milliliters = 40,000 milliliters<br \/>\n40 L = 40,000 mL<\/p>\n<p>Question 5.<br \/>\n33 pt = ? qt ? pt<br \/>\n_______ qt _______ pt<\/p>\n<p>Answer:<br \/>\n33\/2 quarts = 16.5 quarts<\/p>\n<p>Explanation:<br \/>\n33 pt= ?qt ? pt<br \/>\n1 pints = 1 quart<br \/>\n1 pint = \u00bd quart<br \/>\nthen, 33 pint = 33\/2 quarts = 16.5 quarts<\/p>\n<p>Question 6.<br \/>\n29 cL = ? daL<br \/>\n_______ daL<\/p>\n<p>Answer:<br \/>\n0.029 daL<\/p>\n<p>Explanation:<br \/>\n29 cL = ? daL<br \/>\n100 centiliters = 1 liter<br \/>\n1 dekaliter = 10 liters<br \/>\nSo, 1 liter = 1\/10 dekaliters<br \/>\nThen, 100 centiliters = 1\/10 dekaliters<br \/>\n1 centiliter = 1\/1000 dekaliters<br \/>\nthen, 29 centiliters = 29\/1000 dekaliters = 0.029 dekaliters<br \/>\n29 cL = 0.029 daL<\/p>\n<p>Question 7.<br \/>\n7.7 kL = ? cL<br \/>\n_______ cL<\/p>\n<p>Answer:<br \/>\n7,70,000 cL<\/p>\n<p>Explanation:<br \/>\n6.7 kL = ? cL<br \/>\n1 kiloliter = 1000 liters<br \/>\n100 centiliters = 1 liter<br \/>\nSo, 1000 liters = 100&#215;1000 centiliters = 1,00,000 centiliters<br \/>\nThen, 1 kiloliter = 1,00,000 centiliters<br \/>\nThen, 7.7 kiloliters = 7.7 x 1,00,000 centiliters = 7,70,000 centiliters<\/p>\n<p>Question 8.<br \/>\n24 fl oz = ? pt ? c<br \/>\n_______ pt _______ c<\/p>\n<p>Answer:<br \/>\n3\/2 pt and 3 cups<\/p>\n<p>Explanation:<br \/>\n24 floz= ?pt ? c<br \/>\n6 fluids ounces = 1 cup<br \/>\nthen, 24 fluid ounces = 8&#215;3 = 1&#215;3 cups = 3 cups<br \/>\n1 cups = 1 pint<br \/>\nthen, 1 cup = \u00bd pint<br \/>\nthen, 3 cups = 3\/2 pint<br \/>\nso, 24 fluids ounces = 3\/2 pint and 3 cups<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 9.<br \/>\nA bottle contains 3.5 liters of water. A second bottle contains 3,750 milliliters of water. How many more milliliters are in the larger bottle than in the smaller bottle?<br \/>\n_______ mL<\/p>\n<p>Answer:<br \/>\n250 mL<\/p>\n<p>Explanation:<br \/>\nA bottle contains 3.5 liters of water. A second bottle contains 3,750 milliliters of water.<br \/>\nA bottle contains 3.5 liters of water<br \/>\nA second bottle contains 3,750 milliliters of water<br \/>\n1000 milliliters = 1 liter<br \/>\nThen, 3.5 liters = 3.5&#215;1000 = 3500 milliliters<br \/>\nSo, 3750 \u2013 3500 = 250 milliliters<br \/>\n250 milliliters of water is more than in the larger bottle than the smaller bottle<\/p>\n<p>Question 10.<br \/>\nArnie\u2019s car used 100 cups of gasoline during a drive. He paid $3.12 per gallon for gas. How much did the gas cost?<br \/>\n$ _______<\/p>\n<p>Answer:<br \/>\n$19.5<\/p>\n<p>Explanation:<br \/>\nArnie\u2019s car used 100 cups of gasoline during a drive. He paid $3.12 per gallon for gas.<br \/>\nArnie\u2019s car used 100 cups of gasoline during a drive<br \/>\nHe paid $3.12 per gallon for gas<br \/>\n1 gallon = 4 quarts<br \/>\n1 quart = 4 cups<br \/>\nthen, 4 quarts = 4&#215;4 cups = 16 cups<br \/>\nSo, 1 gallon = 16 cups<br \/>\nThen, 1 cup = 1\/16 gallons<br \/>\nThen, 100 cups = 100\/16 gallons = 6.25 gallons<br \/>\nTotal gas cost = $3.12 x 6.25 = $19.5<\/p>\n<p>Question 11.<br \/>\nExplain how units of length and capacity are similar in the metric system.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nIn the metric system, The unit of length is a meter (m) and the unit of capacity is the liter (L)<\/p>\n<h3><a id=\"Convert_Units_of_Capacity_Lesson_Check_\u2013_Page_No._326\"><\/a>Lesson Check &#8211; Page No. 326<\/h3>\n<p>Question 1.<br \/>\nGina filled a tub with 25 quarts of water. What is this amount in gallons and quarts?<br \/>\n_______ gallons _______ quart<\/p>\n<p>Answer:<br \/>\n6 gallons and 1 quart<\/p>\n<p>Explanation:<br \/>\nGina filled a tub with 25 quarts of water<br \/>\n4quarts = 1 gallon<br \/>\n1 quart = \u00bc gallon<br \/>\n25 quarts = 25\/4 gallon = 6 gallons and 1 quart<br \/>\nGina filled a tub with 6 gallons and 1 quart<\/p>\n<p>Question 2.<br \/>\nFour horses are pulling a wagon. Each horse drinks 45,000 milliliters of water each day. How many liters of water will the horses drink in 5 days?<br \/>\n_______ liters<\/p>\n<p>Answer:<br \/>\n900 liters<\/p>\n<p>Explanation:<br \/>\nFour horses are pulling a wagon<br \/>\nEach horse drinks 45,000 milliliters of water each day<br \/>\nThen, four horses drinks 4&#215;45,000 milliliters = 1,80,000<br \/>\n1000 milliliters = 1 liter<br \/>\nThen, 180&#215;1000 = 1,80,000 milliliters = 180 liters<br \/>\n180 x 5 = 900 liters<br \/>\nHorses drink 900 liters of water in 5 days<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nThe map shows Henry\u2019s town. Each unit represents 1 kilometer. After school, Henry walks to the library. How far does he walk?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-6-Convert-Units-of-Length-img-2.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length img 2\" width=\"244\" height=\"246\" \/><br \/>\n_______ kilometers<\/p>\n<p>Answer:<br \/>\n7 kilometers<\/p>\n<p>Explanation:<br \/>\nThe map shows Henry\u2019s town. Each unit represents 1 kilometer. After school, Henry walks to the library.<br \/>\nEach unit represents 1 kilometer<br \/>\nAfter school, Henry walks to the library<br \/>\nDistance between school and library = 7 kilometers<br \/>\nSo, henry walks 7 kilometers from school to library<\/p>\n<p>Question 4.<br \/>\nAn elevator travels 117 feet in 6.5 seconds. What is the elevator\u2019s speed as a unit rate?<br \/>\n_______ feet per second<\/p>\n<p>Answer:<br \/>\n18 feet per second<\/p>\n<p>Explanation:<br \/>\nAn elevator travels 117 feet in 6.5 seconds.<br \/>\nThe elevator\u2019s speed as a unit rate = 117\/6.5 = 18 feet per second<\/p>\n<p>Question 5.<br \/>\nJulie\u2019s MP3 player contains 860 songs. If 20% of the songs are rap songs and 15% of the songs are R&amp;B songs, how many of the songs are other types of songs?<br \/>\n_______ songs<\/p>\n<p>Answer:<br \/>\n559 songs<\/p>\n<p>Explanation:<br \/>\nJulie\u2019s MP3 player contains 860 songs<br \/>\n20% of the songs are rap songs = 860&#215;20\/100 = 172<br \/>\n15% of the songs are R &amp; B songs = 860&#215;15\/100 = 129<br \/>\nOther types of songs = 860 \u2013 172-129 = 559<\/p>\n<p>Question 6.<br \/>\nHow many kilometers are equivalent to 3,570 meters?<br \/>\n_______ kilometers<\/p>\n<p>Answer:<br \/>\n3.57 kilometers<\/p>\n<p>Explanation:<br \/>\n1 kilometer = 1000 meters<br \/>\nthen,1 meter = 1\/1000 kilometer<br \/>\nSo, 3570 meters = 3570\/1000 kilometer<br \/>\n3570 meters = 3.57 kilometers<\/p>\n<h3><a id=\"Convert_Units_of_Weight_and_Mass_\u2013_Page_No._329\"><\/a>Share and Show &#8211; Page No. 329<\/h3>\n<p><strong>Convert to the given unit.<\/strong><\/p>\n<p>Question 1.<br \/>\n9 pounds = ? ounces<br \/>\n_______ ounces<\/p>\n<p>Answer:<br \/>\n144 ounces<\/p>\n<p>Explanation:<br \/>\n6 pounds = ? ounces<br \/>\n1 pound = 16 ounces<br \/>\nthen, 9 pounds = 9&#215;16 ounces = 144 ounces<\/p>\n<p>Question 2.<br \/>\n3.77 grams = ? dekagram<br \/>\n_______ dekagram<\/p>\n<p>Answer:<br \/>\n0.377 dekagram<\/p>\n<p>Explanation:<br \/>\n3.77 grams = ? dekagram<br \/>\n1 dekagram = 10 grams<br \/>\n1 gram = 1\/10 dekagram<br \/>\nThen, 3.77 grams = 3.77\/10 dekagram = 0.377 dekagram<br \/>\nSo, 3.77 grams = 0.377 dekagram<\/p>\n<p>Question 3.<br \/>\nAmanda\u2019s computer weighs 56 ounces. How many pounds does it weigh?<br \/>\n_______ pounds<\/p>\n<p>Answer:<br \/>\n3.5 pounds<\/p>\n<p>Explanation:<br \/>\nAmanda\u2019s computer weighs 56 ounces<br \/>\n1 pound = 16 ounces<br \/>\nthen, 1 ounce = 1\/16 pound<br \/>\nSo, 56 ounces = 56\/16 pounds = 3.5 pounds<\/p>\n<p>Question 4.<br \/>\nA honeybee can carry 40 mg of nectar. How many grams of nectar can a honeybee carry?<br \/>\n_______ grams<\/p>\n<p>Answer:<br \/>\n0.04 grams<\/p>\n<p>Explanation:<br \/>\nA honeybee can carry 40 mg of nectar.<br \/>\n1000 milligrams = 1 gram<br \/>\n1 milligram = 1\/1000 grams<br \/>\nThen, 40 milligrams = 40\/1000 grams = 0.04 grams<br \/>\nSo, the honeybee can carry 0.04 grams of nectar<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Convert to the given unit.<\/strong><\/p>\n<p>Question 5.<br \/>\n4 lb = ? oz<br \/>\n_______ oz<\/p>\n<p>Answer:<br \/>\n64 oz<\/p>\n<p>Explanation:<br \/>\n4lb = ?oz<br \/>\n1 pound (lb) = 16 ounces<br \/>\nthen, 4 pounds = 4&#215;16 ounces = 64 ounces<\/p>\n<p>Question 6.<br \/>\n7.13 g = ? cg<br \/>\n_______ cg<\/p>\n<p>Answer:<br \/>\n713 cg<\/p>\n<p>Explanation:<br \/>\n7.13g = ? cg<br \/>\n100 centigrams = 1 gram<br \/>\nThen, 7.13 grams = 100&#215;7.13 = 713 centigrams<br \/>\nSo, 7.13 grams = 713 centigrams<\/p>\n<p>Question 7.<br \/>\n3 T = ? lb<br \/>\n_______ lb<\/p>\n<p>Answer:<br \/>\n6000 lb<\/p>\n<p>Explanation:<br \/>\n3T = ?lb<br \/>\n1 ton = 2000 pounds (lb)<br \/>\nthen, 3 tons = 3&#215;2000 = 6000 pounds (lb)<\/p>\n<p>Question 8.<br \/>\nThe African Goliath frog can weigh up to 7 pounds. How many ounces can the Goliath frog weigh?<br \/>\n_______ ounces<\/p>\n<p>Answer:<br \/>\n112 ounces<\/p>\n<p>Explanation:<br \/>\nThe African Goliath frog can weigh up to 7 pounds.<br \/>\n1 pound = 16 ounces<br \/>\n7 pounds = 7&#215;16 = 112 pounds<br \/>\nSo, the goliath frog can weigh up to 112 pounds<\/p>\n<p>Question 9.<br \/>\nThe mass of a standard hockey puck must be at least 156 grams. What is the minimum mass of 8 hockey pucks in kilograms?<br \/>\n_______ kg<\/p>\n<p>Answer:<br \/>\n1.248 kg<\/p>\n<p>Explanation:<br \/>\nThe mass of a standard hockey puck must be at least 156 grams.<br \/>\n1 kilogram = 1000 grams<br \/>\n1 gram = 1\/1000 kilogram<br \/>\nthen, 156 grams = 156\/1000 kilograms = 0.156 kilograms<br \/>\nmass of a hockey puck is 0.156 kilograms<br \/>\nthen, the mass of 8 hockey pucks is 8&#215;0.156 = 1.248 kilograms<\/p>\n<p><strong>Practice: Copy and Solve Compare. Write &lt;, &gt;, or =.<\/strong><\/p>\n<p>Question 10.<br \/>\n250 lb _______ 0.25 T<\/p>\n<p>Answer:<br \/>\n250 lb &lt; 0.25 T<\/p>\n<p>Explanation:<br \/>\n250 lb_______ 0.25 T<br \/>\n1 ton = 2000 pounds(lb)<br \/>\nthen, 0.25 tons =0.25&#215;2000 = 500 pounds = 500lb<br \/>\nSo, 250 lb &lt; 0.25 T<\/p>\n<p>Question 11.<br \/>\n65.3 hg _______ 653 dag<\/p>\n<p>Answer:<br \/>\n65.3 hg = 653 dag<\/p>\n<p>Explanation:<br \/>\n65.3 hg _______ 653 dag<br \/>\n1 hectogram = 100 grams<br \/>\nThen, 65.3 hectograms = 65.3&#215;100 = 6530 grams<br \/>\n1 dekagram = 10 grams<br \/>\nthen, 653 dekagram = 6530 grams<br \/>\nSo, 65.3 hectogram = 653 dekagram<\/p>\n<p>Question 12.<br \/>\n5 T _______ 5,000 lb<\/p>\n<p>Answer:<br \/>\n5 T\u00a0 &gt; 5,000 lb<\/p>\n<p>Explanation:<br \/>\n5 T _______ 5,000 lb<br \/>\n1 ton = 2000 pounds (lb)<br \/>\n5 tons = 5&#215;2000 lb = 10,000 lb<br \/>\nThen, 5 T &gt; 5000 lb<\/p>\n<p>Question 13.<br \/>\nMasses of precious stones are measured in carats, where 1 carat = 200 milligrams. What is the mass of a 50-dg diamond in carats?<br \/>\n_______ carats<\/p>\n<p>Answer:<br \/>\n25 carats<\/p>\n<p>Explanation:<br \/>\nMasses of precious stones are measured in carats, where 1 carat = 200 milligrams.<br \/>\n1 carat = 200 milligrams<br \/>\n6 decigrams = 1 gram<br \/>\n1000 milligrams = 1 gram<br \/>\nSo, 10 decigrams = 1000 milligrams<br \/>\nThen, 1 decigram = 100 milligram<br \/>\n2 decigrams = 200 milligrams = 1 carat<br \/>\nthen, 50 decigrams = 2&#215;25 decigrams = 25&#215;200 milligrams = 25 carats<\/p>\n<h3><a id=\"Convert_Units_of_Weight_and_Mass_\u2013_Page_No._330\"><\/a>Problem Solving + Applications &#8211; Page No. 330<\/h3>\n<p><strong>Use the table for 14\u201317.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-6-Convert-Units-of-Length-img-3.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length img 3\" width=\"450\" height=\"434\" \/><\/p>\n<p>Question 14.<br \/>\nExpress the weight range for bowling balls in pounds.<br \/>\n_______ lb<\/p>\n<p>Answer:<br \/>\n16 lb<\/p>\n<p>Explanation:<br \/>\nWeight range for bowling balls = 160 to 256 ounces<br \/>\n1 pound = 16 ounces<br \/>\nSo, 1 ounce = 1\/16 pounds<br \/>\nThen, 160 ounces = 160\/16 pounds = 10 pounds<br \/>\n256 ounces = 256\/16 pounds = 16 pounds<br \/>\nSo, the weight range for bowling balls is 10 to 16 pounds<\/p>\n<p>Question 15.<br \/>\nHow many more pounds does the heaviest soccer ball weigh than the heaviest baseball? Round your answer to the nearest hundredth.<br \/>\n_______ lb<\/p>\n<p>Answer:<br \/>\n0.68 lb<\/p>\n<p>Explanation:<br \/>\nHeaviest soccer ball weight = 16 ounces<br \/>\n1 pound = 16 ounces<br \/>\nHeaviest baseball weight = 5.25 ounces<br \/>\n1 pound = 16 ounces<br \/>\n1 ounce = 1\/16 pounds<br \/>\nthen, 5.25 ounces = 5.25\/16 = 0.32 pounds<br \/>\ndifference between soccer ball and baseball weight = 1 \u2013 0.32 = 0.68 pounds<br \/>\nSo, the soccer ball weight is 0.68 pounds more than the weight of the baseball.<\/p>\n<p>Question 16.<br \/>\nA manufacturer produces 3 tons of baseballs per day and packs them in cartons of 24 baseballs each. If all of the balls are the minimum allowable weight, how many cartons of balls does the company produce each day?<br \/>\n_______ cartons<\/p>\n<p>Answer:<br \/>\n800 cartons<\/p>\n<p>Explanation:<br \/>\n3 tons = 6000 lbs.<br \/>\nBase ball = 5 ounces<br \/>\n16 ounces in 1 pound<br \/>\n6000 \u00d7 16 = 96,000<br \/>\n96,000\/5 = 19,200<br \/>\n19,200\/24 = 800<\/p>\n<p>Question 17.<br \/>\nCommunicate Explain how you could use mental math to estimate the number of soccer balls it would take to produce a total weight of 1 ton.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nSoccer balls range 14 to 16 ounces<br \/>\n1 ton = 2000 pounds<br \/>\nthen, 1 pound = 1\/2000 tons<br \/>\n1 pound = 16 ounces<br \/>\nSo, 16 ounces = 1\/2000 tons = 0.0005 tons<br \/>\n1 ounce = 1\/32000 tons<br \/>\nthen, 14 ounces = 14\/32000 tons =0.0004375 tons<br \/>\nSo, the range of soccer balls is 0.0005 to 0.0004375 tons<\/p>\n<p>Question 18.<br \/>\nThe Wilson family\u2019s newborn baby weighs 84 ounces. Choose the numbers to show the baby\u2019s weight in pounds and ounces.<br \/>\n_______ pounds and _______ ounces<\/p>\n<p>Answer:<br \/>\n5 pounds and 4 ounces<\/p>\n<p>Explanation:<br \/>\nThe Wilson family\u2019s newborn baby weighs 84 ounces<br \/>\n1 pound = 16 ounces<br \/>\nthen, 1 ounce = 1\/16 pounds<br \/>\nSo, 84 ounces = 84\/16 pounds = 5 pounds and 4 ounces<\/p>\n<h3><a id=\"Convert_Units_of_Weight_and_Mass_\u2013_Page_No._331\"><\/a>Convert Units of Weight and Mass &#8211; Page No. 331<\/h3>\n<p><strong>Convert to the given unit.<\/strong><\/p>\n<p>Question 1.<br \/>\n5 pounds = ? ounces<br \/>\n_______ ounces<\/p>\n<p>Answer:<br \/>\n80 ounces<\/p>\n<p>Explanation:<br \/>\n5 pounds = ? ounces<br \/>\n1 pound = 16 ounces<br \/>\nThen, 5 pounds = 5&#215;16 = 80 ounces<br \/>\nSo, 5 pounds = 80 ounces<\/p>\n<p>Question 2.<br \/>\n2.36 grams = ? hectograms<br \/>\n_______ hectograms<\/p>\n<p>Answer:<br \/>\n0.0236 hectograms<\/p>\n<p>Explanation:<br \/>\n1.36 grams = ? hectograms<br \/>\n1 hectogram = 100 grams<br \/>\n1 gram = 1\/100 hectograms<br \/>\nthen, 2.36 grams = 2.36\/100 hectograms = 0.0236 hectograms<br \/>\nSo, 2.36 grams = 0.0236 hectograms<\/p>\n<p>Question 3.<br \/>\n30 g = ? dg<br \/>\n_______ dg<\/p>\n<p>Answer:<br \/>\n300 dg<\/p>\n<p>Explanation:<br \/>\n29 g = ? dg<br \/>\n10 decigrams = 1 gram<br \/>\nthen, 30 grams = 30&#215;10 decigrams = 300 decigrams<br \/>\n30 grams = 300 decigrams<\/p>\n<p>Question 4.<br \/>\n17.2 hg = ? g<br \/>\n_______ g<\/p>\n<p>Answer:<br \/>\n1720 g<\/p>\n<p>Explanation:<br \/>\n17.2 hg = ? g<br \/>\n1 hectogram = 100 grams<br \/>\nThen, 17.2 hectograms = 17.2&#215;100 = 1720 grams<br \/>\nSo, 17.2 hectograms = 1720 grams<\/p>\n<p>Question 5.<br \/>\n400 lb = ? T<br \/>\n_______ T<\/p>\n<p>Answer:<br \/>\n0.2 T<\/p>\n<p>Explanation:<br \/>\n1. 400 lb = ? T<br \/>\n1 ton = 2000 pounds (lb)<br \/>\n400 lb = 2000\/5 pounds (lb) = 1\/5 tons<br \/>\nSo, 400 lb = 0.2 tons<\/p>\n<p>Question 6.<br \/>\n38,600 mg = ? dag<br \/>\n_______ dag<\/p>\n<p>Answer:<br \/>\n3.86 dag<\/p>\n<p>Explanation:<br \/>\n38,600 mg = ? dag<br \/>\n1000 milligrams = 1 gram<br \/>\n1 dekagram = 10 grams<br \/>\nSo, 1 gram = 1\/10 dekagram<br \/>\nThen, 1000 milligrams = 1\/10 dekagrams<br \/>\n1 milligram = 1\/10,000 dekagrams<br \/>\nSo, 38,600 milligrams = 38,600\/10,000 = 3.86 dekagrams<br \/>\n38,600 milligrams = 3.86 dekagrams<\/p>\n<p>Question 7.<br \/>\n87 oz = ? lb ? oz<br \/>\n_______ pounds _______ ounces<\/p>\n<p>Answer:<br \/>\n5 pounds and 7 ounces<\/p>\n<p>Explanation:<br \/>\n87 oz = ? lb ? oz<br \/>\n1 pound = 16 ounces<br \/>\n1 ounce = 1\/16 pounds<br \/>\nthen, 87 ounces = 87\/16 pounds<br \/>\n87 ounces = 5 pounds and 7 ounces<\/p>\n<p>Question 8.<br \/>\n0.65 T = ? lb<br \/>\n_______ lb<\/p>\n<p>Answer:<br \/>\n1300 lb<\/p>\n<p>Explanation:<br \/>\n0.65 T = ?lb<br \/>\n1 ton = 2000 pounds<br \/>\nThen, 0.65 tons = 0.65&#215;2000 = 1300 pounds<br \/>\n0.65 T = 1300 lb<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 9.<br \/>\nMaggie bought 52 ounces of swordfish selling for $6.92 per pound. What was the total cost?<br \/>\n$ _______<\/p>\n<p>Answer:<br \/>\n$22.49<\/p>\n<p>Explanation:<br \/>\nMaggie bought 52 ounces of swordfish selling for $6.92 per pound.<br \/>\nMaggie bought 52 ounces of swordfish selling for $6.92 per pound<br \/>\n1 pound = 16 ounces<br \/>\n1 ounce = 1\/16 pounds<br \/>\nthen, 52 ounces = 52\/16 pounds = 3.25 pounds<br \/>\n1 pound cost = $6.92<br \/>\nthen, 3.25 pounds cost = $6.92 x 3.25 = $22.49<br \/>\nSo, the cost for swordfish is $22.49<\/p>\n<p>Question 10.<br \/>\nThree bunches of grapes have masses of 1,000 centigrams, 1,000 decigrams, and 1,000 grams, respectively. What is the total combined mass of the grapes in kilograms?<br \/>\n_______ kg<\/p>\n<p>Answer:<br \/>\n1.11 kg<\/p>\n<p>Explanation:<br \/>\nThree bunches of grapes have masses of 1,000 centigrams, 1,000 decigrams, and 1,000 grams, respectively.<br \/>\nThree bunches of grapes have masses of 1,000 centigrams, 1,000 decigrams, and 1,000 grams<br \/>\n100 centigrams = 1 gram<br \/>\nthen, 1000 centigrams = 10&#215;100 centigrams = 10 grams<br \/>\n1 kilogram = 1000 grams<br \/>\nSo, 1 gram = 1\/1000 kilograms<br \/>\nThen, 10 grams = 10\/1000 = 1\/100 kilograms = 0.01 kilograms<br \/>\n10 decigrams = 1 gram<br \/>\nthen, 100&#215;10 decigrams = 100&#215;1 gram = 100 grams<br \/>\n1000 grams = 1 kilogram<br \/>\nThen, 100 grams = 1\/10 kilograms = 0.1 kilograms<br \/>\n1000 grams = 1 kilogram<br \/>\nTotal weight of the grapes = 1 + 0.1 + 0.01 = 1.11 kilograms<\/p>\n<p>Question 11.<br \/>\nExplain how you would find the number of ounces in 0.25T.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nnumber of ounces in 0.25T<br \/>\n1 ton = 2000 pounds<br \/>\nthen, 1 pound = 1\/2000 tons<br \/>\n1 pound = 16 ounces<br \/>\nso, 16 ounces = 1\/2000 tons<br \/>\nthen, 1 ton = 16&#215;2000 ounces = 32000 ounces<br \/>\nSo, 0.25 tons = 0.25&#215;32000 ounces = 8000 ounces<br \/>\n8000 ounces = 0.25 T<\/p>\n<h3><a id=\"Convert_Units_of_Weight_and_Mass_Lesson_Check_\u2013_Page_No._332\"><\/a>Lesson Check &#8211; Page No. 332<\/h3>\n<p>Question 1.<br \/>\nThe mass of Denise\u2019s rock sample is 684 grams. The mass of Pauline\u2019s rock sample is 29,510 centigrams. How much greater is the mass of Denise\u2019s sample than Pauline\u2019s sample?<br \/>\n_______ centigrams<\/p>\n<p>Answer:<br \/>\n38900 centigrams<\/p>\n<p>Explanation:<br \/>\nThe mass of Denise\u2019s rock sample is 684 grams<br \/>\nThe mass of Pauline\u2019s rock sample is 29,510 centigrams<br \/>\n100 centigrams = 1 gram<br \/>\n1 centigram = 1\/100 gram<br \/>\nthen, 29,510 centigrams = 29,510\/100 grams = 295.1 grams<br \/>\nSo, the mass of Pauline\u2019s rock sample is 295.1 grams<br \/>\nBy comparing Denise\u2019s rock sample with Pauline\u2019s rock sample<br \/>\n684 \u2013 295 = 389<br \/>\nThe mass of Denise\u2019s rock sample is 389 grams more than the mass of Pauline\u2019s rock sample<br \/>\n389 grams = 38900 centigrams<\/p>\n<p>Question 2.<br \/>\nA sign at the entrance to a bridge reads: Maximum allowable weight 2.25 tons. Jason\u2019s truck weighs 2,150 pounds. How much additional weight can he carry?<br \/>\n_______ pounds<\/p>\n<p>Answer:<br \/>\n2,350 pounds<\/p>\n<p>Explanation:<br \/>\nA sign at the entrance to a bridge reads: Maximum allowable weight 2.25 tons<br \/>\nJason\u2019s truck weighs 2,150 pounds<br \/>\n1 ton = 2000 pounds<br \/>\nthen, 2.25 tons = 2.25&#215;2000 = 4500 pounds<br \/>\nSo, maximum allowable weight = 4500 pounds<br \/>\n4500 \u2013 2150 = 2350<br \/>\nSo, Jason can carry an additionally 2350 pounds\u2019 weight<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nThere are 23 students in a math class. Twelve of them are boys. What is the ratio of girls to total number of students?<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\n11 : 23<\/p>\n<p>Explanation:<br \/>\nThere are 23 students in a math class. Twelve of them are boys.<br \/>\nNumber of students in a math class = 23<br \/>\nNumber of boys in a class = 12<br \/>\nNumber of girls in a class = 23-12 = 11<br \/>\nThen, the ratio of girls to the total number of students = 11\/23<\/p>\n<p>Question 4.<br \/>\nMiguel hiked 3 miles in 54 minutes. At this rate, how long will it take him to hike 5 miles?<br \/>\n_______ minutes<\/p>\n<p>Answer:<br \/>\n90 minutes<\/p>\n<p>Explanation:<br \/>\nMiguel hiked 3 miles in 54 minutes.<br \/>\nThen, time for 5 miles = 5&#215;54\/3 = 90 minutes<br \/>\nSo, Miguel hikes 5 miles in 90 minutes<\/p>\n<p>Question 5.<br \/>\nMarco borrowed $150 from his brother. He has paid back 30% so far. How much money does Marco still owe his brother?<br \/>\n$ _______<\/p>\n<p>Answer:<br \/>\n$60<\/p>\n<p>Explanation:<br \/>\nMarco borrowed $150 from his brother<br \/>\nHe has paid back 30% of amount = 30\/100 (150) = $45<br \/>\nRemaining amount = 150 -45 = 60<br \/>\nSo, still $60 amount Marco need to give his brother<\/p>\n<p>Question 6.<br \/>\nHow many milliliters are equivalent to 2.7 liters?<br \/>\n_______ milliliters<\/p>\n<p>Answer:<br \/>\n2,700 milliliters<\/p>\n<p>Explanation:<br \/>\n2.7 liters<br \/>\n1000 milliliters = 1 liter<br \/>\nThen, 2.7 liters = 2.7 x 1000 = 2700 milliliters<br \/>\nSo, 2,700 milliliters are equivalent to 2.7 liters<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_\u2013_Page_No._333\"><\/a>Mid-Chapter Checkpoint &#8211; Vocabulary &#8211; Page No. 333<\/h3>\n<p><strong>Choose the best term from the box to complete the sentence.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-6-Convert-Units-of-Length-img-4.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length img 4\" width=\"272\" height=\"195\" \/><\/p>\n<p>Question 1.<br \/>\nA _____ is a rate in which the two quantities are equal, but use different units.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nConversion factor<\/p>\n<p>Question 2.<br \/>\n_____ is the amount a container can hold.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nCapacity<\/p>\n<p><strong>Concepts and Skills<\/strong><\/p>\n<p><strong>Convert units to solve.<\/strong><\/p>\n<p>Question 3.<br \/>\nA professional football field is 160 feet wide. What is the width of the field in yards?<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\) yd<\/p>\n<p>Answer:<br \/>\n53\\(\\frac{1}{3}\\) yd<\/p>\n<p>Explanation:<br \/>\nA professional football field is 160 feet wide<br \/>\n3feet = 1 yard<br \/>\nThen, 160 feet = 160\/3 = 53.33<br \/>\nSo, the width of football field is 53.33 yards<br \/>\n160\/3 = 53 1\/3<\/p>\n<p>Question 4.<br \/>\nJulia drinks 8 cups of water per day. How many quarts of water does she drink per day?<br \/>\n_____ quarts<\/p>\n<p>Answer:<br \/>\n2 quarts<\/p>\n<p>Explanation:<br \/>\nJulia drinks 8 cups of water per day.<br \/>\n4 cups = 1 quart<br \/>\nThen, 8 cups = 8\/4 = 2 quarts<br \/>\nSo, Julia drinks 2 quarts of water per day<\/p>\n<p>Question 5.<br \/>\nThe mass of Hinto\u2019s math book is 4,458 grams. What is the mass of 4 math books in kilograms?<br \/>\n_____ kilograms<\/p>\n<p>Answer:<br \/>\n17.832 kilograms<\/p>\n<p>Explanation:<br \/>\nThe mass of Hinto\u2019s math book is 4,458 grams<br \/>\n1kilogram = 1000 grams<br \/>\nThen, 4,458 grams = 4,458\/1000 = 4.458 kilograms<br \/>\nThen, the mass of 4 math books = 4&#215;4.458 = 17.832 kilograms<br \/>\nThe mass of 4 math books is 17.832 kilograms<\/p>\n<p>Question 6.<br \/>\nTurning off the water while brushing your teeth saves 379 centiliters of water. How many liters of water can you save if you turn off the water the next 3 times you brush your teeth?<br \/>\n_____ liters<\/p>\n<p>Answer:<br \/>\n11.37 liters<\/p>\n<p>Explanation:<br \/>\nTurning off the water while brushing your teeth saves 379 centiliters of water<br \/>\n100centiliters = 1 liter<br \/>\nThen, 379 centiliters = 379\/100 = 3.79 liters<br \/>\nif you turn off the water the next 3 times = 3&#215;3.79 liters = 11.37 liters<br \/>\nSo, you can save 11.37 liters of water when you turn off the water for 3 times<\/p>\n<p><strong>Convert to the given unit.<\/strong><\/p>\n<p>Question 7.<br \/>\n34.2 mm = ? cm<br \/>\n_____ cm<\/p>\n<p>Answer:<br \/>\n3.42 cm<\/p>\n<p>Explanation:<br \/>\n34.2 mm = ? cm<br \/>\n1000 millimeters = 1 meter<br \/>\n100centimeters = 1 meter<br \/>\nso, 1000 millimeters = 100 centimeters<br \/>\nthen, 10 millimeters = 1 centimeter<br \/>\nthen, 34.2 millimeters = 34.2\/10 = 3.42 centimeters<br \/>\nSo, 34.2 mm = 3.42 cm<\/p>\n<p>Question 8.<br \/>\n42 in. = ? ft<br \/>\n_____ \\(\\frac{\u25a1}{\u25a1}\\) ft<\/p>\n<p>Answer:<br \/>\n3\\(\\frac{1}{2}\\) ft<\/p>\n<p>Explanation:<br \/>\n41 in. = ? ft<br \/>\n12 inches = 1 foot<br \/>\nthen, 42 inches = 42\/12 = 3.5 feet<br \/>\nSo, 42 in = 3.5 ft<br \/>\n42\/12 = 3 1\/2<\/p>\n<p>Question 9.<br \/>\n1.4 km = ? hm<br \/>\n_____ hm<\/p>\n<p>Answer:<br \/>\n140 hm<\/p>\n<p>Explanation:<br \/>\n1.4 km = ? hm<br \/>\n1 kilometer = 1000 meters<br \/>\n1 hectometer = 100 meters<br \/>\nSo, 1 meter = 0.001 kilometers<br \/>\n1 meter = 0.01 hectometers<br \/>\nNow, 0.001 kilometer = 0.01 hectometer<br \/>\nThat is 0.1 kilometer = 1 hectometer<br \/>\nThen, 1.4 kilometer = 1.4\/0.1 = 140 hectometers<br \/>\nSo, 1.4 km = 140 hm<\/p>\n<p>Question 10.<br \/>\n4 gal = ? qt<br \/>\n_____ qt<\/p>\n<p>Answer:<br \/>\n16 qt<\/p>\n<p>Explanation:<br \/>\n4gal = ?qt<br \/>\n1gallon = 4 quarts<br \/>\nThen, 4 gallons = 4&#215;4 = 16 quarts<br \/>\nSo, 4 gal = 16 qt<\/p>\n<p>Question 11.<br \/>\n53 dL = ? daL<br \/>\n_____ daL<\/p>\n<p>Answer:<br \/>\n0.53 daL<\/p>\n<p>Explanation:<br \/>\n53 dL = ? daL<br \/>\n10deciliters = 1 liter<br \/>\n1 dekaliter = 10 liters that is 0.1 dekaliters = 1 liter<br \/>\nSo, 10 dL = 0.1 daL<br \/>\nThen, 53 dL = 53&#215;0.1\/10 =0.53 daL<br \/>\nSo, 53 dL = 0.53 daL<\/p>\n<p>Question 12.<br \/>\n28 c = ? pt<br \/>\n_____ pt<\/p>\n<p>Answer:<br \/>\n14 pt<\/p>\n<p>Explanation:<br \/>\n28 c = ?pt<br \/>\n1 cups = 1pint<br \/>\nthen, 28 cups = 28\/2 = 14 pints<br \/>\nSo, 28 c = 14 pt<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_\u2013_Page_No._334\"><\/a>Page No. 334<\/h3>\n<p>Question 13.<br \/>\nTrenton\u2019s laptop is 32 centimeters wide. What is the width of the laptop in decimeters?<br \/>\n_____ dm<\/p>\n<p>Answer:<br \/>\n3.2 dm<\/p>\n<p>Explanation:<br \/>\nTrenton\u2019s laptop is 32 centimeters wide.<br \/>\n100 centimeters = 1 meter<br \/>\n10decimeters = 1 meter<br \/>\nSo, 100 centimeters = 10 decimeters<br \/>\nThen, 32 centimeters = 32&#215;10\/100 = 3.2 decimeters<br \/>\nSo, the width of the laptop is 3.2 decimeters<\/p>\n<p>Question 14.<br \/>\nA truck is carrying 8 cars weighing an average of 4,500 pounds each. What is the total weight in tons of the cars on the truck?<br \/>\n_____ tons<\/p>\n<p>Answer:<br \/>\n18 tons<\/p>\n<p>Explanation:<br \/>\nA truck is carrying 8 cars weighing an average of 4,500 pounds each.<br \/>\nSo, total weight = 8 x 4500 pounds = 36,000 pounds<br \/>\n2000 pounds = 1 ton<br \/>\nThen, 36,000 pounds = 36,000 \/ 2000 = 18 tons<br \/>\nSo, total weight of the cars in truck is 18 tons<\/p>\n<p>Question 15.<br \/>\nBen\u2019s living room is a rectangle measuring 10 yards by 168 inches. By how many feet does the length of the room exceed the width?<br \/>\n_____ feet<\/p>\n<p>Answer:<br \/>\n16 feet<\/p>\n<p>Explanation:<br \/>\nBen\u2019s living room is a rectangle measuring 10 yards by 168 inches.<br \/>\n12inches = 1 foot<br \/>\nThen, 168 inches = 168\/12 = 14 feet<br \/>\n1 yard = 3 feet<br \/>\nthen, 10 yards = 10&#215;3 = 30 feet<br \/>\n30-14 = 16 feet<br \/>\nSo, the length of the room exceeds 16 feet in width<\/p>\n<p>Question 16.<br \/>\nJessie served 13 pints of orange juice at her party. How many quarts of orange juice did she serve?<br \/>\n_____ quarts<\/p>\n<p>Answer:<br \/>\n6.5 quarts<\/p>\n<p>Explanation:<br \/>\nJessie served 13 pints of orange juice at her party<br \/>\n1 pints = 1 quart<br \/>\nthen, 13 pints = 13\/2 = 6.5 quarts<br \/>\nSo, Jessie served 6.5 quarts of orange juice at her party<\/p>\n<p>Question 17.<br \/>\nKaylah\u2019s cell phone has a mass of 50,000 centigrams. What is the mass of her phone in grams?<br \/>\n_____ grams<\/p>\n<p>Answer:<br \/>\n500 grams<\/p>\n<p>Explanation:<br \/>\nKaylah\u2019s cell phone has a mass of 50,000 centigrams<br \/>\n100 centigrams = 1 gram<br \/>\nthen, 50,000 centigrams = 50,000\/100 = 500 grams<br \/>\nSo, the mass of Kaylah\u2019s phone is 500 grams<\/p>\n<h3><a id=\"Transform_Units_\u2013_Page_No._337\"><\/a>Share and Show &#8211; Page No. 337<\/h3>\n<p>Question 1.<br \/>\nA dripping faucet leaks 12 gallons of water per day. How many gallons does the faucet leak in 6 days?<br \/>\n_____ gallons<\/p>\n<p>Answer:<br \/>\n72 gallons<\/p>\n<p>Explanation:<br \/>\nA dripping faucet leaks 12 gallons of water per day<br \/>\nThen, faucet leaks how many gallons of water per 6 days = 12 x 6 = 72 gallons<\/p>\n<p>Question 2.<br \/>\nBananas sell for $0.44 per pound. How much will 7 pounds of bananas cost?<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$3.08<\/p>\n<p>Explanation:<br \/>\nBananas sell for $0.44 per pound<br \/>\n1 pound banana cost is $0.44<br \/>\nthen, 7 pounds bananas cost is = 7 x 0.44 = $3.08<\/p>\n<p>Question 3.<br \/>\nGrizzly Park is a rectangular park with an area of 24 square miles. The park is 3 miles wide. What is its length in miles?<br \/>\n_____ miles<\/p>\n<p>Answer:<br \/>\n8 miles<\/p>\n<p>Explanation:<br \/>\nGrizzly Park is a rectangular park with an area of 24 square miles<br \/>\nThe park is 3 miles wide<br \/>\nRectangular park area = length x breadth<br \/>\nThat is 24 = 3 x b<br \/>\nSo, breadth = 8 miles<br \/>\nThe rectangular park length is 8 miles<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Multiply or divide the quantities.<\/strong><\/p>\n<p>Question 4.<br \/>\n\\(\\frac{24 \\mathrm{kg}}{1 \\mathrm{min}}\\) \u00d7 15 min<br \/>\n_____ kg<\/p>\n<p>Answer:<br \/>\n6 kg<\/p>\n<p>Explanation:<br \/>\n24kg1min \u00d7 15 min<br \/>\n24 kg \/ 1min x 15 min<br \/>\n60 min = 1 hour<br \/>\nThen, 15 min = 15\/60 = \u00bc hours<br \/>\n24 kg x 1\/ 4 = 6 kg<\/p>\n<p>Question 5.<br \/>\n216 sq cm\u00f78 cm<br \/>\n_____ cm<\/p>\n<p>Answer:<br \/>\n27 cm<\/p>\n<p>Explanation:<br \/>\n216 sq cm \u00f7 8 cm<br \/>\n216 sq cm\/ 8 cm = 27 cm<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{17 \\mathrm{L}}{1 \\mathrm{hr}}\\) \u00d7 9 hr<br \/>\n_____ L<\/p>\n<p>Answer:<br \/>\n153 L<\/p>\n<p>Explanation:<br \/>\n17L1hr x 9 hr<br \/>\n17L\/1hr x 9 hr = 153 L<\/p>\n<p>Question 7.<br \/>\nThe rectangular rug in Marcia\u2019s living room measures 12 feet by 108 inches. What is the rug\u2019s area in square feet?<br \/>\n_____ square feet<\/p>\n<p>Answer:<br \/>\n108 square feet<\/p>\n<p>Explanation:<br \/>\nThe rectangular rug in Marcia\u2019s living room measures 12 feet by 108 inches<br \/>\n1 foot = 12 inches<br \/>\n108 inches = 108\/12 = 9 feet<br \/>\n12 x 9 = 108 square feet<br \/>\nAre of rug is 108 square feet<\/p>\n<p>Question 8.<br \/>\nMake Sense of Problems A box-making machine makes cardboard boxes at a rate of 72 boxes per minute. How many minutes does it take to make 360 boxes?<br \/>\n_____ minutes<\/p>\n<p>Answer:<br \/>\n5 minutes<\/p>\n<p>Explanation:<br \/>\nA box-making machine makes cardboard boxes at a rate of 72 boxes per minute<br \/>\nThen, time for 360 boxes = 360\/72 = 5 minutes<br \/>\nSo, it takes 5 minutes\u2019 time to make 360 boxes<\/p>\n<p>Question 9.<br \/>\nThe area of an Olympic-size swimming pool is 1,250 square meters. The length of the pool is 5,000 centimeters. Select True or False for each statement.<br \/>\n9a. The length of the pool is 50 meters.<br \/>\n9b. The width of the pool is 25 meters.<br \/>\n9c. The area of the pool is 1.25 square kilometers<br \/>\n9a. ____________<br \/>\n9b. ____________<br \/>\n9c. ____________<\/p>\n<p>Answer:<br \/>\n9a. True<br \/>\n9b. True<br \/>\n9c. True<\/p>\n<p>Explanation:<br \/>\nThe area of an Olympic-size swimming pool is 1,250 square meters<br \/>\nThe length of the pool is 5,000 centimeters<br \/>\n100centimeters = 1meter<br \/>\nThen, 5000 centimeters = 5000\/100 = 50 meters<br \/>\nAreas of the swimming pool = length x width<br \/>\n1250 square meters = 50 length x 25 width<br \/>\nThen, width = 25 meters<br \/>\n1000 meters = 1 kilometer<br \/>\nthen, 1250 square meters = 1250\/1000 = 1.25 square meters<\/p>\n<h3><a id=\"Transform_Units_\u2013_Page_No._338\"><\/a>Make Predictions\u00a0&#8211; Page No. 338<\/h3>\n<p>A prediction is a guess about something in the future. A prediction is more likely to be accurate if it is based on facts and logical reasoning.<\/p>\n<p>The Hoover Dam is one of America\u2019s largest producers of hydroelectric power. Up to 300,000 gallons of water can move through the dam\u2019s generators every second. Predict the amount of water that moves through the generators in half of an hour.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-6-Convert-Units-of-Length-img-5.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length img 5\" width=\"428\" height=\"107\" \/><br \/>\nUse what you know about transforming units to make a prediction.<br \/>\nYou know the rate of the water through the generators, and you are given an amount of time. Rate of flow:<br \/>\n\\(\\frac{300,000 \\text { gallons }}{1 \\text { sec }}\\); time: \\(\\frac{1}{2}\\) hr<br \/>\nYou want to find the amount of water. Amount of water : ? gallons<br \/>\nConvert the amount of time to seconds to match the units in the rate. \\(\\frac{1}{2}\\) hr=30 min<br \/>\nMultiply the rate by the amount of time to find the amount of water. \\(\\frac{300,000 \\text { gallons }}{1 \\mathrm{sec}} \\times \\frac{1,800 \\mathrm{sec}}{1}\\) = 540,000,000 gal<br \/>\nSo, a good prediction of the amount of water that moves through the generators in half of an hour is 540,000,000 gallons.<br \/>\nTransform units to solve.<\/p>\n<p>Question 10.<br \/>\nAn average of 19,230 people tour the Hoover Dam each week. Predict the number of people touring the dam in a year.<br \/>\n_____ people<\/p>\n<p>Answer:<br \/>\n999,960 people<\/p>\n<p>Explanation:<br \/>\nAn average of 19,230 people tour the Hoover Dam each week<br \/>\nNumber of weeks per year = 52<br \/>\nThen, total number of people tour the hoover dam in the year = 52 x 19, 230 = 999,960<br \/>\nSo, 999,960 people touring the hoover dam per year<\/p>\n<p>Question 11.<br \/>\nThe Hoover Dam generates an average of about 11,506,000 kilowatt-hours of electricity per day. Predict the number of kilowatt-hours generated in 7 weeks.<br \/>\n_____ kilowatt-hours<\/p>\n<p>Answer:<br \/>\n563,794 kilowatt-hours<\/p>\n<p>Explanation:<br \/>\nThe Hoover Dam generates an average of about 11,506,000 kilowatt-hours of electricity per day<br \/>\n1 week = 7 days<br \/>\n7weeks = 7 \u00d7 7 = 49 days<br \/>\nThen, Hoover Dam generated electricity per 7 weeks = 49 \u00d7 11,506,000 = 563,794,000<br \/>\nSo, the total number of kilowatt-hours generated in 7 weeks by the Hoover Dam is 563,794,000<\/p>\n<h3><a id=\"Transform_Units_\u2013_Page_No._339\"><\/a>Transform Units &#8211; Page No. 339<\/h3>\n<p><strong>Multiply or divide the quantities.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{62 \\mathrm{g}}{1 \\mathrm{day}}\\) \u00d7 4 days<br \/>\n_____ g<\/p>\n<p>Answer:<br \/>\n248 g<\/p>\n<p>Explanation:<br \/>\n62g1day \u00d7 4 days<br \/>\n62 g\u00f71 day \u00d7 4 days<br \/>\nThen, 62 g \u00d7 4 = 248 g<\/p>\n<p>Question 2.<br \/>\n322 sq yd \u00f7 23 yd<br \/>\n_____ yd<\/p>\n<p>Answer:<br \/>\n14 yd<\/p>\n<p>Explanation:<br \/>\n322 sqyd \u00f7 23 yd<br \/>\n322 sqyd \/ 23 yd = 14 sq<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{128 \\mathrm{kg}}{1 \\mathrm{hr}}\\) \u00d7 10 hr<br \/>\n_____ kg<\/p>\n<p>Answer:<br \/>\n1,280 kg<\/p>\n<p>Explanation:<br \/>\n128kg1hr \u00d7 10 hr<br \/>\n128 kg\/1hr * 10hr<br \/>\nSo, 1,280 kg<\/p>\n<p>Question 4.<br \/>\n136 sq km \u00f7 8 km<br \/>\n_____ km<\/p>\n<p>Answer:<br \/>\n17 km<\/p>\n<p>Explanation:<br \/>\n136 sq km \u00f7 8 km<br \/>\n136 sq km \/ 8 km<br \/>\n136 sq \/ 8 = 17<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{88 \\mathrm{lb}}{1 \\mathrm{day}}\\) \u00d7 12 days<br \/>\n_____ lb<\/p>\n<p>Answer:<br \/>\n1,056 lb<\/p>\n<p>Explanation:<br \/>\n88lb1day \u00d7 12 days<br \/>\n88lb \/ 1 day \u00d7 12days<br \/>\nThat is 88lb \u00d7 12 = 1,056 lb<\/p>\n<p>Question 6.<br \/>\n154 sq mm \u00f7 11 mm<br \/>\n_____ mm<\/p>\n<p>Answer:<br \/>\n14\u00a0 mm<\/p>\n<p>Explanation:<br \/>\n154 sq mm \u00f7 11 mm<br \/>\n154 sq \/ 11 = 14<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{\\$ 150}{1 \\mathrm{sq} \\mathrm{ft}}\\) \u00d7 20 sq ft<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$30,020 sqft<\/p>\n<p>Explanation:<br \/>\n$1501sqft \u00d7 20 sqft<br \/>\nMultiplication of 1501 and 20 is<br \/>\n30,020<br \/>\nThat is $1501sqft x 20 sqft = $30,020 sqft<\/p>\n<p>Question 8.<br \/>\n234 sq ft\u00f718 ft<br \/>\n_____ ft<\/p>\n<p>Answer:<br \/>\n13 ft<\/p>\n<p>Explanation:<br \/>\n234 sq ft\u00f718 ft<br \/>\n234 sq \/ 18 = 13<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 9.<br \/>\nGreen grapes are on sale for $2.50 a pound. How much will 9 pounds cost?<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$22.5<\/p>\n<p>Explanation:<br \/>\nGreen grapes are on sale for $2.50 a pound<br \/>\n1 pound = $2.50<br \/>\nthen, 9 pounds cost = 9*$2.50 = $22.5<br \/>\ngreen grapes cost for 9 pounds is $22.5<\/p>\n<p>Question 10.<br \/>\nA car travels 32 miles for each gallon of gas. How many gallons of gas does it need to travel 192 miles?<br \/>\n_____ gallons<\/p>\n<p>Answer:<br \/>\n6 gallons<\/p>\n<p>Explanation:<br \/>\nA car travels 32 miles for each gallon of gas<br \/>\nThen, 192 miles is = 192\/ 32 = 6 gallons of gas<br \/>\nSo, total 6 gallons of gas is required to travel 192 miles<\/p>\n<p>Question 11.<br \/>\nWrite and solve a problem in which you have to transform units. Use the rate 45 people per hour in your question.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nA fast-food restaurant is trying to find out how many customers they had in the last 3 hours, and they know they get 45 people per hour. How many customers were served in the last 3 hours? The answer is 135 people.<\/p>\n<h3><a id=\"Transform_Units_Lesson_Check_\u2013_Page_No._340\"><\/a>Lesson Check &#8211; Page No. 340<\/h3>\n<p>Question 1.<br \/>\nA rectangular parking lot has an area of 682 square yards. The lot is 22 yards wide. What is the length of the parking lot?<br \/>\n_____ yards<\/p>\n<p>Answer:<br \/>\n31 yards<\/p>\n<p>Explanation:<br \/>\nA rectangular parking lot has an area of 682 square yards<br \/>\nWidth of the parking lot = 22 yards wide<br \/>\nArea = length *width<br \/>\n682 square yards= length * 22 yards wide<br \/>\nSo, length = 682 square yards \/ 22 yards = 31 yards<br \/>\nThen, length of the parking lot = 31 yards<\/p>\n<p>Question 2.<br \/>\nA machine assembles 44 key chains per hour. How many key chains does the machine assemble in 11 hours?<br \/>\n_____ key chains<\/p>\n<p>Answer:<br \/>\n484 key chains<\/p>\n<p>Explanation:<br \/>\nA machine assembles 44 key chains per hour<br \/>\nThen, the machine assembles key chains per 11 hours = 11*44 = 484 key chains<br \/>\nSo, the machine assembles totally 484 key chains in 11 hours<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nThree of these ratios are equivalent to \\(\\frac{8}{20}\\). Which one is NOT equivalent?<br \/>\n\\(\\frac{2}{5} \\quad \\frac{12}{24} \\quad \\frac{16}{40} \\quad \\frac{40}{100}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{8}{20}\\)<\/p>\n<p>Explanation:<br \/>\nThe below mentioned ratios are equivalent to 8\/20<br \/>\ni. 2\/5<br \/>\nMultiply the numerator and denominator with 4<br \/>\nThat is (2*4)\/(5*4) = 8\/20<br \/>\nii. 12\/24<br \/>\nDivide the numerator and denominator with 6<br \/>\nThat is (12\u00f76)\/(24\u00f76) = 2\/4<br \/>\nNow, multiply the numerator and denominator with 4<br \/>\nThat is (2*4)\/(4*4) = 8\/16<br \/>\nSo, 12\/14 is not equal to 8\/20<br \/>\niii. 16\/40<br \/>\nDivide the numerator and denominator with 2<br \/>\nThat is, (16\u00f72)\/(40\u00f72) = 8\/20<br \/>\niv. 40\/100<br \/>\nDivide the numerator and denominator with 5<br \/>\nThat is (40\u00f75)\/(100\u00f75) = 8\/20<\/p>\n<p>Question 4.<br \/>\nThe graph shows the money that Marco earns for different numbers of days worked. How much money does he earn per day?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-6-Convert-Units-of-Length-img-6.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length img 6\" width=\"264\" height=\"286\" \/><br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$80<\/p>\n<p>Explanation:<br \/>\nTotal number of days worked = 7<br \/>\nTotal earned money = 560 dollars<br \/>\n560 \/ 7 = 80 dollars per day<\/p>\n<p>Question 5.<br \/>\nMegan answered 18 questions correctly on a test. That is 75% of the total number of questions. How many questions were on the test?<br \/>\n_____ questions<\/p>\n<p>Answer:<br \/>\n24 questions<\/p>\n<p>Explanation:<br \/>\nMegan answered 18 questions correctly<br \/>\nThat is 75% of the total number of questions = 18<br \/>\nThen, 100% of the questions = 18*100\/75 = 24<br \/>\nSo, the total number of questions on the test = 24 questions<\/p>\n<h3><a id=\"Distance,_Rate,_and_Time_Formulas_\u2013_Page_No._343\"><\/a>Share and Show &#8211; Page No. 343<\/h3>\n<p>Question 1.<br \/>\nMariana runs at a rate of 180 meters per minute. How far does she run in 5 minutes?<br \/>\n_____ meters<\/p>\n<p>Answer:<br \/>\n900 meters<\/p>\n<p>Explanation:<br \/>\nMariana runs at a rate of 180 meters per minute<br \/>\nThen, Mariana runs per 5 minutes = 5&#215;180 = 900 meters<br \/>\nSo, Mariana runs 900 meters per 5 minutes<\/p>\n<p>Question 2.<br \/>\nWhat if Mariana runs for 20 minutes at the same speed? How many kilometers will she run?<br \/>\n_____ kilometers<\/p>\n<p>Answer:<br \/>\n3.6 kilometers<\/p>\n<p>Explanation:<br \/>\nFrom the given information<br \/>\nMarians runs at a rate of 180 meters per minute<br \/>\nThen the speed of Mariana = 180\/1 = 180 meters per minute<br \/>\nIf Mariana runs 20 minutes then the covered distance = 20&#215;180 = 3600 meters<br \/>\n1000 meters = 1 kilometer<br \/>\nThen, 3600 meters = 3600\/1000 = 3.6 kilometers<br \/>\nSo, Mariana runs 3.6 kilometers in 20 minutes<\/p>\n<p>Question 3.<br \/>\nA car traveled 130 miles in 2 hours. How fast did the car travel?<br \/>\n_____ miles per hour<\/p>\n<p>Answer:<br \/>\n65 miles per hour<\/p>\n<p>Explanation:<br \/>\nA car travelled 130 miles in 2 hours<br \/>\nThen the speed of the car = Distance\/Time<br \/>\nThat is, Speed of the car = 130 miles\/ 2 hours = 65 miles per hour<br \/>\nSo, the car travels 65 miles per hour<\/p>\n<p>Question 4.<br \/>\nA subway car travels at a rate of 32 feet per second. How far does it travel in 16 seconds?<br \/>\n_____ feet<\/p>\n<p>Answer:<br \/>\n512 feet<\/p>\n<p>Explanation:<br \/>\nA subway car travels at a rate of 32 feet per second<br \/>\n1 second = 32 feet<br \/>\nthen, 16 seconds = 16 x 32\/1 = 512 feet<br \/>\nSo, a subway car travels 512 feet per 16 seconds<\/p>\n<p>Question 5.<br \/>\nA garden snail travels at a rate of 2.6 feet per minute. At this rate, how long will it take for the snail to travel 65 feet?<br \/>\n_____ minutes<\/p>\n<p>Answer:<br \/>\n25 minutes<\/p>\n<p>Explanation:<br \/>\nA garden snail travels at a rate of 2.6 feet per minute<br \/>\nSo, 2.6 feet = 1 minute<br \/>\nThen, 65 feet = 65\/2.6 = 650\/26 = 25 minutes<br \/>\nSo, the snail travels 65 feet in 25 minutes<\/p>\n<p>Question 6.<br \/>\nA squirrel can run at a maximum speed of 12 miles per hour. At this rate, how many seconds will it take the squirrel to run 3 miles?<br \/>\n_____ seconds<\/p>\n<p>Answer:<br \/>\n900 seconds<\/p>\n<p>Explanation:<br \/>\nA squirrel can run at a maximum speed of 12 miles per hour<br \/>\n1 hour = 3600 seconds<br \/>\nSo, the squirrel can run 12 miles in 3600 seconds<br \/>\nThen, the squirrel can run 3 miles in 3&#215;3600\/12 = 900 seconds<br \/>\nSo, the squirrel can take 900 seconds of time to run 3 miles<\/p>\n<p>Question 7.<br \/>\nA cyclist rides 8 miles in 32 minutes. What is the speed of the cyclist in miles per hour?<br \/>\n_____ miles per hour<\/p>\n<p>Answer:<br \/>\n15 miles per hour<\/p>\n<p>Explanation:<br \/>\nA cyclist rides 8 miles in 32 minutes<br \/>\n32minutes = 8 miles<br \/>\nThen, 60 minutes = 60&#215;8\/32 = 15 miles<br \/>\nSo, a cyclist rides 15 miles in 60 minutes that is one hour<br \/>\nSo, the speed of the cyclist per hour = 15 miles\/ 1 = 15 miles per hour<\/p>\n<h3><a id=\"Distance,_Rate,_and_Time_Formulas_\u2013_Page_No._344\"><\/a>Share and Show &#8211; Page No. 344<\/h3>\n<p><strong>On Your Own<\/strong><\/p>\n<p>Question 8.<br \/>\nA pilot flies 441 kilometers in 31.5 minutes. What is the speed of the airplane?<br \/>\n_____ kilometers per minute<\/p>\n<p>Answer:<br \/>\n14 kilometers per minute<\/p>\n<p>Explanation:<br \/>\nFrom the given information<br \/>\nA pilot flies 441 kilometers in 31.5 minutes<br \/>\nSpeed = Distance \/ Time<br \/>\nHere, distance = 441 kilometers<br \/>\nTime = 31.5 minutes<br \/>\nSpeed of the airplane = 441\/31.5 = 4410\/315 = 14 kilometers per minute<\/p>\n<p>Question 9.<br \/>\nChris spent half of his money on a pair of headphones. Then he spent half of his remaining money on CDs. Finally, he spent his remaining $12.75 on a book. How much money did Chris have to begin with?<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$51<\/p>\n<p>Explanation:<br \/>\nTotal money with the Chris= x amount<br \/>\nChris spent half of his money on a pair of headphones = x\/2<br \/>\nThen he spent half of his remaining money on CDs = x\/4<br \/>\nFinally, he spent his remaining $12.75 on a book<br \/>\nSo, total amount x = x\/2+x\/4+$12.75<br \/>\n$12.75 = (x-x\/2-x\/4)<br \/>\n= (4x-2x-x)\/4<br \/>\n$12.75 = x\/4<br \/>\nThen, x = $12.75&#215;4 = $51<br \/>\nSo, Chris have to begin with $51<\/p>\n<p>Question 10.<br \/>\nAndr\u00e9 and Yazmeen leave at the same time and travel 75 miles to a fair. Andr\u00e9 drives 11 miles in 12 minutes. Yazmeen drives 26 miles in 24 minutes. If they continue at the same rates, who will arrive at the fair first? Explain.<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nAndr\u00e9 and Yazmeen leave at the same time and travel 75 miles to a fair<br \/>\nAndr\u00e9 drives 11 miles in 12 minutes<br \/>\nSo, Andre can reach 75 miles in = 75&#215;12\/11<br \/>\nThat is, Andre can travel 75 miles in 81 minutes<br \/>\nYazmeen drives 26 miles in 24 minutes<br \/>\nSo, Yazmeen can reach 75 miles in = 75&#215;24\/26 = 69 minutes<br \/>\nThat means, Yazmeen can reach 75 miles in 69 minutes<br \/>\nSo, Yazmeen can reach the fair first<\/p>\n<p>Question 11.<br \/>\nMake Arguments Bonnie says that if she drives at an average rate of 40 miles per hour, it will take her about 2 hours to drive 20 miles across town. Does Bonnie\u2019s statement make sense? Explain.<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nMake Arguments Bonnie says that if she drives at an average rate of 40 miles per hour, it will take her about 2 hours to drive 20 miles across town<br \/>\nSpeed of the Bonnie = 40 miles per hour<br \/>\nThen, Bonnie can cover the distance in 2 hours = 2&#215;40 = 80 miles<br \/>\nSo, Bonnie statement is wrong<\/p>\n<p>Question 12.<br \/>\nClaire says that if she runs at an average rate of 6 miles per hour, it will take her about 2 hours to run 18 miles. Do you agree or disagree with Claire? Use numbers and words to support your answer.<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nClaire says that if she runs at an average rate of 6 miles per hour, it will take her about 2 hours to run 18 miles<br \/>\nClaire runs in 1 hour = 6 miles<br \/>\nThen, Claire runs in 2 hours = 2&#215;6 = 12 miles<br \/>\nSo, the Claire statement is wrong<\/p>\n<h3><a id=\"Distance,_Rate,_and_Time_Formulas_\u2013_Page_No._345\"><\/a>Problem Solving Distance, Rate, and Time Formulas &#8211; Page No. 345<\/h3>\n<p><strong>Read each problem and solve.<\/strong><\/p>\n<p>Question 1.<br \/>\nA downhill skier is traveling at a rate of 0.5 mile per minute. How far will the skier travel in 18 minutes?<br \/>\n_____ miles<\/p>\n<p>Answer:<br \/>\n9 miles<\/p>\n<p>Explanation:<br \/>\nA downhill skier is traveling at a rate of 0.5 miles per minute<br \/>\n1 minute = 0.5 mile<br \/>\nthen, 18 minutes = 18&#215;0.5 = 9 miles<br \/>\nSo, the skier travel 9 miles in 18 minutes<\/p>\n<p>Question 2.<br \/>\nHow long will it take a seal swimming at a speed of 8 miles per hour to travel 52 miles?<br \/>\n_____ hours<\/p>\n<p>Answer:<br \/>\n6.5 hours<\/p>\n<p>Explanation:<br \/>\nA seal swimming at a speed of 8 miles per hour<br \/>\nThen,52 miles = 52\/8 = 6.5 hours<br \/>\nSo, A seal swimming can travel 52 miles in 6.5 hours<\/p>\n<p>Question 3.<br \/>\nA dragonfly traveled at a rate of 35 miles per hour for 2.5 hours. What distance did the dragonfly travel?<br \/>\n_____ miles<\/p>\n<p>Answer:<br \/>\n87.5 miles<\/p>\n<p>Explanation:<br \/>\nA dragonfly traveled at a rate of 35 miles per hour for 2.5 hours<br \/>\nThat means, 1 hour = 35 miles<br \/>\nThen, 2.5 hours = 2.5&#215;35 = 87.5 miles<br \/>\nSo, a dragonfly travels 87.5 miles in 2.5 hours<\/p>\n<p>Question 4.<br \/>\nA race car travels 1,212 kilometers in 4 hours. What is the car\u2019s rate of speed?<br \/>\n_____ kilometers per hour<\/p>\n<p>Answer:<br \/>\n303 kilometers per hour<\/p>\n<p>Explanation:<br \/>\nA race car travels 1,212 kilometers in 4 hours<br \/>\nSpeed = Distance\/ Time<br \/>\nHere, distance = 1212 kilometers<br \/>\nTime = 4 hours<br \/>\nThen, Speed of the race car = 1212\/4 = 303 kilometers per hour<\/p>\n<p>Question 5.<br \/>\nKim and Jay leave at the same time to travel 25 miles to the beach. Kim drives 9 miles in 12 minutes. Jay drives 10 miles in 15 minutes. If they both continue at the same rate, who will arrive at the beach first?<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nKim reaches the beach first<\/p>\n<p>Explanation:<br \/>\nKim and Jay leave at the same time to travel 25 miles to the beach<br \/>\nKim drives 9 miles in 12 minutes<br \/>\nThen, Kim travels 25 miles in = 25&#215;12\/9 = 33 minutes<br \/>\nJay drives 10 miles in 15 minutes<br \/>\nThen, Jay travels 25 miles in = 25&#215;15\/10 = 37.5 minutes<br \/>\nSo, Kim reaches the beach first<\/p>\n<p>Question 6.<br \/>\nDescribe the location of the variable d in the formulas involving rate, time, and distance.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nFormula Distance = Rate x Time<br \/>\nDistance (d) = Rate x Time<\/p>\n<h3><a id=\"Distance,_Rate,_and_Time_Formulas_Lesson_Check_\u2013_Page_No._346\"><\/a>Lesson Check &#8211; Page No. 346<\/h3>\n<p>Question 1.<br \/>\nMark cycled 25 miles at a rate of 10 miles per hour. How long did it take Mark to cycle 25 miles?<br \/>\n_____ hours<\/p>\n<p>Answer:<br \/>\n2.5 hours<\/p>\n<p>Explanation:<br \/>\nMark cycled 25 miles at a rate of 10 miles per hour<br \/>\nThat means, 10 miles = 1 hour<br \/>\nThen, 25 miles = 25\/10 =2.5 hours<br \/>\nSo, Mark take 2.5 hours to cycle 25 miles<\/p>\n<p>Question 2.<br \/>\nJoy ran 13 miles in 3 \\(\\frac{1}{4}\\) hours. What was her average rate?<br \/>\n_____ miles per hour<\/p>\n<p>Answer:<br \/>\n4 miles per hour<\/p>\n<p>Explanation:<br \/>\nJoy ran 13 miles in 3 \u00bc hours<br \/>\n3 \u00bc = 13\/4 = 3.25 hours<br \/>\nThen, the average rate of the Joy = 13\/3.25 hours = 4 miles per hour<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nWrite two ratios that are equivalent to \\(\\frac{9}{12}\\).<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\n3\/4 and 18\/24<\/p>\n<p>Explanation:<br \/>\nEquivalent ratios of 9\/12 is 3\/4 and 18\/24<br \/>\nMultiply the numerator and denominator of \u00be with 3<br \/>\nThat is 3&#215;3\/4&#215;3 = 9\/12<br \/>\nDivide the numerator and denominator of 18\/24 with 2<br \/>\nThat is (18\/2)\/(24\/2) = 9\/12<\/p>\n<p>Question 4.<br \/>\nIn the Chang family\u2019s budget, 0.6% of the expenses are for internet service. What fraction of the family\u2019s expenses is for internet service? Write the fraction in simplest form.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{3}{500}\\)<\/p>\n<p>Explanation:<br \/>\nIn the Chang family\u2019s budget, 0.6% of the expenses are for internet service<br \/>\nThat is 0.6% = 0.6\/100 = 6\/1000 = 3\/500<br \/>\nSo, 3\/500 part of the family\u2019s expenses is used for internet service<\/p>\n<p>Question 5.<br \/>\nHow many meters are equivalent to 357 centimeters?<br \/>\n_____ meters<\/p>\n<p>Answer:<br \/>\n3.57 meters<\/p>\n<p>Explanation:<br \/>\n357 ntimeters<br \/>\n100centimeters = 1 meter<br \/>\nThen, 357 centimeters = 357\/100 = 3.57 meters<br \/>\n3.57 meters is equivalent to 357 centimeters<\/p>\n<p>Question 6.<br \/>\nWhat is the product of the two quantities shown below?<br \/>\n\\(\\frac{60 \\mathrm{mi}}{1 \\mathrm{hr}}\\) \u00d7 12 hr<br \/>\n_____ miles<\/p>\n<p>Answer:<br \/>\n720 miles<\/p>\n<p>Explanation:<br \/>\n60 mi\/1hr x 12 hr<br \/>\nThat is, 60 milesx12 = 720 miles<br \/>\nSo, the equivalent quantity of 60mi\/1hr x 12hr is 720 miles<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._347\"><\/a>Chapter 6 Review\/Test &#8211; Page No. 347<\/h3>\n<p>Question 1.<br \/>\nA construction crew needs to remove 2.5 tons of river rock during the construction of new office buildings<br \/>\nThe weight of the rocks is ____________ pounds<\/p>\n<p>Answer:<br \/>\nThe weight of the rocks is 5,000 pounds<\/p>\n<p>Explanation:<br \/>\nA construction crew needs to remove 2.5 tons of river rock during the construction of new office buildings<br \/>\n1 Ton = 2000 pounds<br \/>\nThen, 2.5 Tons = 2.5&#215;2000<br \/>\n= 25&#215;200 = 5000 pounds<br \/>\nSo, the weight of the rocks is 5000 pounds<\/p>\n<p>Question 2.<br \/>\nSelect the conversions that are equivalent to 10 yards. Mark all that apply<br \/>\nOptions:<br \/>\na. 20 feet<br \/>\nb. 240 inches<br \/>\nc. 30 feet<br \/>\nd. 360 inches<\/p>\n<p>Answer:<br \/>\nc. 30 feet<br \/>\nd. 360 inches<\/p>\n<p>Explanation:<br \/>\na. 20 feet<br \/>\n3feet = 1 yard<br \/>\nThen, 20 feet = 20\/3 yard<br \/>\nb. 240 inches<br \/>\n36 inches = 1 yard<br \/>\nThen, 240 inches = 240\/36 = 6 yards<br \/>\nc. 30 feet<br \/>\n3feet = 1 yard<br \/>\nThen, 30 feet =30\/3 = 10 yards<br \/>\nd. 360inches<br \/>\n36 inches = 1 yard<br \/>\nThen, 360 inches = 360\/36 = 10 yards<br \/>\nSo, 30 feet and 360 inches are equivalent to 10 yards<\/p>\n<p>Question 3.<br \/>\nMeredith runs at a rate of 190 meters per minute. Use the formula d=r\u00d7t to find how far she runs in 6 minutes.<br \/>\n_____ meters<\/p>\n<p>Answer:<br \/>\n1,140 meters<\/p>\n<p>Explanation:<br \/>\nMeredith runs at a rate of 190 meters per minute<br \/>\nFormula d = r x t<br \/>\nHere, d= 190 meters, t = 1 minute<br \/>\nThen, r = 190\/1 = 190 meters per minute<br \/>\nNow, t = 6 minutes and r = 190 meters per minute<br \/>\nThen d = 190 x 6 = 1,140 meters<\/p>\n<p>Question 4.<br \/>\nThe table shows data for 4 cyclists during one day of training. Complete the table by finding the speed for each cyclist. Use the formula r = d \u00f7 t.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-6-Convert-Units-of-Length-img-7.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length img 7\" width=\"559\" height=\"200\" \/><br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nD = RxT<br \/>\nAlisha<br \/>\n36 = Rx3<br \/>\nThen, Rate of Alisha =36\/3 =12 miles per hour<br \/>\nJose<br \/>\n39 = Rx3<br \/>\nThen, Rate of Jose = 39\/3 = 13 miles per hour<br \/>\nRaul<br \/>\n40 = Rx4<br \/>\nThen, Rate of Raul = 40\/4 = 10 miles per hour<br \/>\nRuthie<br \/>\n22= Rx2<br \/>\nThen, Rate of Ruthie = 22\/2 = 11 miles per hour<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._347\"><\/a>Page No. 348<\/h3>\n<p>Question 5.<br \/>\nFor numbers 5a\u20135c, choose &lt;, &gt;, or =.<br \/>\n5a. 5 kilometers \u039f 5,000 meters<br \/>\n5b. 254 centiliters \u039f 25.4 liters<br \/>\n5c. 6 kilogram \u039f 600 gram<br \/>\n5 kilometers _____ 5,000 meters<br \/>\n254 centiliters _____ 25.4 liters<br \/>\n6 kilogram _____ 600 gram<\/p>\n<p>Answer:<br \/>\n5a. 5 kilometers \u039f 5,000 meters<br \/>\n5b. 254 centiliters \u039f 25.4 liters<br \/>\n5c. 6 kilogram \u039f 600 gram<br \/>\n5 kilometers = 5,000 meters<br \/>\n254 centiliters &lt; 25.4 liters<br \/>\n6 kilogram &gt; 600 gram<\/p>\n<p>Explanation:<br \/>\na. 5 kilometers &#8212;&#8212; 5000 meters<br \/>\n1 kilometer = 1000 meters<br \/>\nthen,5 kilometers 5&#215;1000 = 5000 meters<br \/>\nSo, 5 kilometers = 5000 meters<br \/>\nb. 254 centiliters &#8212;&#8212;25.4 liters<br \/>\n100centiliters = 1 liter<br \/>\nThen, 254 centiliters = 254\/100 = 2.54 liters<br \/>\nSo, 254 centiliters &lt; 25.4 liters<br \/>\nc. 6 kilograms &#8212;&#8211; 600 grams<br \/>\n1kilogram = 1000 grams<br \/>\nThen, 6 kilograms = 6000 grams<br \/>\nSo, 6 kilograms &gt; 600 grams<\/p>\n<p>Question 6.<br \/>\nA recipe calls for 16 fluid ounces of light whipping cream. If Anthony has 1 pint of whipping cream in his refrigerator, does he have enough for the recipe? Explain your answer using numbers and words.<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nA recipe calls for 16 fluid ounces of light whipping cream<br \/>\n8 fluid ounces = 1 cup<br \/>\nSo, 16 fluid ounces = 2 cups = 1 pint<br \/>\nIf Anthony has 1 pint of whipping cream in his refrigerator, then it is enough for the recipe<\/p>\n<p>Question 7.<br \/>\nFor numbers 7a\u20137d, choose &lt;, &gt;, or =.<br \/>\n7a. 43 feet \u039f 15 yards<br \/>\n7b. 10 pints \u039f 5 quarts<br \/>\n7c. 5 tons \u039f 5,000 pounds<br \/>\n7d. 6 miles \u039f 600 yards<br \/>\n43 feet _____ 15 yards<br \/>\n10 pints _____ 5 quarts<br \/>\n5 tons _____ 5,000 pounds<br \/>\n6 miles _____ 600 yards<\/p>\n<p>Answer:<br \/>\n43 feet &lt; 15 yards<br \/>\n10 pints = 5 quarts<br \/>\n5 tons &gt; 5,000 pounds<br \/>\n6 miles &gt; 600 yards<\/p>\n<p>Explanation:<br \/>\na. 43 feet &#8212;- 15 yards<br \/>\n3feet = 1 yard<br \/>\nThen, 43 feet = 43\/3 = 14.3 yards<br \/>\nSo, 43 feet &lt; 15 yards<br \/>\nb. 10 pints &#8212;- 5 quarts<br \/>\n1 pints = 1 quart<br \/>\nthen, 10 pints = 10\/2 = 5 quarts<br \/>\nSo, 10 pints = 5 quarts<br \/>\nc. 5 tons &#8212;&#8211; 5000 pounds<br \/>\n1 ton = 2000 pounds<br \/>\nthen, 5 tons = 5&#215;2000 = 10,000 pounds<br \/>\nSo, 5 tons &gt; 5000 pounds<br \/>\nd. 6 miles &#8212;- 600 yards<br \/>\n1 mile =1760 yards<br \/>\nthen, 6 miles = 6&#215;1760 = 10,560yards<br \/>\nSo, 6 miles &gt; 600 yards<\/p>\n<p>Question 8.<br \/>\nThe distance from Caleb\u2019s house to the school is 1.5 miles, and the distance from Ashlee\u2019s house to the school is 3,520 feet. Who lives closer to the school, Caleb or Ashlee? Use numbers and words to support your answer.<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nThere are 5280 feet in one mile.<br \/>\nSo, you need to change the miles to feet.<br \/>\n1.5 x 5280 = 7920.<br \/>\n7920 &gt; 3520<br \/>\nSo, Ashley lives closer.<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._349\"><\/a>Page No. 349<\/h3>\n<p>Question 9.<br \/>\nWrite the mass measurements in order from least to greatest.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-6-Convert-Units-of-Length-img-8.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length img 8\" width=\"427\" height=\"62\" \/><br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\n7.4 kilograms, 7.4 centigrams, 7.4 decigrams<\/p>\n<p>Question 10.<br \/>\nAn elephant\u2019s heart beats 28 times per minute. Complete the product to find how many times its heart beats in 30 minutes<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-6-Convert-Units-of-Length-img-9.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length img 9\" width=\"364\" height=\"82\" \/><br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\n840 beats<\/p>\n<p>Explanation:<br \/>\nAn elephant\u2019s heart beats 28 times per minute<br \/>\nThen, elephant\u2019s heart beats in 30 minutes = 28 x 30 = 840<br \/>\nSo, an elephant\u2019s heartbeat is 840 times in 30 minutes<\/p>\n<p>Question 11.<br \/>\nThe length of a rectangular football field, including both end zones, is 120 yards. The area of the field is 57,600 square feet. For numbers 11a\u201311d, select True or False for each statement.<br \/>\n11a. The width of the field is 480 yards.<br \/>\n11b. The length of the field is 360 feet.<br \/>\n11c. The width of the field is 160 feet.<br \/>\n11d. The area of the field is 6,400 square yards.<br \/>\n11a. ____________<br \/>\n11b. ____________<br \/>\n11c. ____________<br \/>\n11d. ____________<\/p>\n<p>Answer:<br \/>\n11a. True<br \/>\n11b. True<br \/>\n11c. False<br \/>\n11d. False<\/p>\n<p>Explanation:<br \/>\nThe length of a rectangular football field, including both end zones, is 120 yards<br \/>\nThe area of the field is 57,600 square feet<br \/>\nThat is length x width = 57,600 square feet<br \/>\nHere, length = 120 yards<br \/>\nThen, width = 57,600\/120 = 480 yards<br \/>\n11a. True<br \/>\n11b. 1 yard = 3 feet<br \/>\nThen, 120 yards = 120&#215;3 = 360 feet<br \/>\nTrue<br \/>\n11c. 480 yards = 480&#215;3 = 1440<br \/>\nFalse<br \/>\n11d. 6400 square yards<br \/>\n3 feet = 1 yard<br \/>\nthen, 57,600 square feet = 57,600\/3 = 19,200 square yards<br \/>\nFalse<\/p>\n<p>Question 12.<br \/>\nHarry received a package for his birthday. The package weighed 357,000 centigrams. Select the conversions that are equivalent to 357,000 centigrams. Mark all that apply.<br \/>\nOptions:<br \/>\na. 3.57 kilograms<br \/>\nb. 357 dekagrams<br \/>\nc. 3,570 grams<br \/>\nd. 3,570,000 decigrams<\/p>\n<p>Answer:<br \/>\na. 3.57 kilograms<br \/>\nb. 357 dekagrams<br \/>\nc. 3,570 grams<\/p>\n<p>Explanation:<br \/>\nHarry received a package for his birthday<br \/>\nThe package weighed 357,000 centigrams<br \/>\n100centigrams = 1 gram<br \/>\nThen, 357,000 centigrams = 357,000\/100 = 3570 grams<br \/>\n1000 grams = 1 kilogram<br \/>\nThen, 3570 grams = 3570\/1000 = 3.57 kilograms<br \/>\n10grams = 1 dekagram<br \/>\nThen, 3570 grams = 3570\/10 = 357 dekagrams<br \/>\n1gram = 10 decigrams<br \/>\nThen, 3570 grams = 35700 decigrams<br \/>\nOptions a, b and c are true<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._350\"><\/a>Page No. 350<\/h3>\n<p>Question 13.<br \/>\nMr. Martin wrote the following problem on the board.<br \/>\nJuanita\u2019s car has a gas mileage of 21 miles per gallon. How many miles can Juanita travel on 7 gallons of gas?<br \/>\nAlex used the expression \\(\\frac{21 \\text { miles }}{\\text { 1 gallon }} \\times \\frac{1}{7 \\text { gallons }}\\) to find the answer. Explain Alex\u2019s mistake.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nJuanita\u2019s car has a gas mileage of 21 miles per gallon<br \/>\nJuanita traveled miles on 7 gallons of gas = 21&#215;7 = 147 miles<br \/>\nBut, Alex used the expression 21 miles 1 gallon \u00d717 gallons<br \/>\nIn the place of 7 gallons, Alex used 17 gallons<\/p>\n<p>Question 14.<br \/>\nMr. Chen filled his son\u2019s wading pool with 20 gallons of water.<br \/>\n20 gallons is equivalent to ____________ quarts.<\/p>\n<p>Answer:<br \/>\n80 quarts<\/p>\n<p>Explanation:<br \/>\nMr. Chen filled his son\u2019s wading pool with 20 gallons of water<br \/>\n1gallon = 4 quarts<br \/>\nThen, 20 gallons = 20&#215;4 = 80 quarts<br \/>\nSo, 20 gallons is equivalent to 80 quarts<\/p>\n<p>Question 15.<br \/>\nNadia has a can of vegetables with a mass of 411 grams. Write equivalent conversions in the correct boxes.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-6-Convert-Units-of-Length-img-10.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length img 10\" width=\"214\" height=\"65\" \/><br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\n0.411, 41.1, 4.11<\/p>\n<p>Explanation:<br \/>\nNadia has a can of vegetables with a mass of 411 grams<br \/>\n1000 grams = 1 kilogram<br \/>\nThen, 411 grams = 411\/1000 = 0.411 kilograms<br \/>\n100grams = 1 hectogram<br \/>\nThen, 411 grams = 411\/100 = 4.11 hectograms<br \/>\n10grams = 1 dekagram<br \/>\nThen, 411 grams = 411\/10 = 41.1 dekagram<\/p>\n<p>Question 16.<br \/>\nSteve is driving 440 miles to visit the Grand Canyon. He drives at an average rate of 55 miles per hour. Explain how you can find the amount of time it will take Steve to get to the Grand Canyon.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nSteve is driving 440 miles to visit the Grand Canyon<br \/>\nHe drives at an average rate of 55 miles per hour<br \/>\nThen, 440 miles = 440\/55 = 8 hours<br \/>\nSo, Steve can take 8 hours of time to visit the Grand Canyon<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._351\"><\/a>Page No. 351<\/h3>\n<p>Question 17.<br \/>\nLucy walks one time around the lake. She walks for 1.5 hours at an average rate of 3 miles per hour. What is the distance, in miles, around the lake?<br \/>\n_____ miles<\/p>\n<p>Answer:<br \/>\n4.5 miles<\/p>\n<p>Explanation:<br \/>\nLucy walks one time around the lake<br \/>\nShe walks for 1.5 hours at an average rate of 3 miles per hour<br \/>\n1 hour = 3 miles<br \/>\nThen, 1.5 hours = 1.5&#215;3 = 4.5 miles<br \/>\nSo, Luke walks 4.5 miles around the lake<\/p>\n<p>Question 18.<br \/>\nThe parking lot at a store has a width of 20 yards 2 feet and a length of 30 yards.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-6-Convert-Units-of-Length-img-11.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length img 11\" width=\"270\" height=\"132\" \/><br \/>\nPart A<br \/>\nDerrick says that the width could also be written as 22 feet. Explain whether you agree or disagree with Derrick.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nDerrick says that the width could also be written as 22 feet<br \/>\n1yard = 3 feet<br \/>\n20 yards = 60 feet<br \/>\nSo, we cannot write 20 yards 2 feet as 22 feet<\/p>\n<p>Question 19.<br \/>\nPart B<br \/>\nThe cost to repave the parking lot is $2 per square foot. Explain how much it would cost to repave the parking lot.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nThe cost to repave the parking lot is $2 per square foot<br \/>\nParking lot area =20 yards 2 feet x 30 yards<br \/>\n1yard = 3 feet<br \/>\nThen, 20 yards = 20&#215;3 = 60 feet<br \/>\n30 yards = 30&#215;3 = 90 feet<br \/>\nso, Parking lot area = 62 feet x 90 feet = 5580 feet<br \/>\n1 square foot cost = $2<br \/>\nthen, 5580 feet cost = 2&#215;5580 = $11,160<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._352\"><\/a>Page No. 352<\/h3>\n<p>Question 19.<br \/>\nJake is using a horse trailer to take his horses to his new ranch.<br \/>\nPart A<br \/>\nComplete the table by finding the weight, in pounds, of Jake\u2019s horse trailer and each horse.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-6-Convert-Units-of-Length-img-12.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length img 12\" width=\"242\" height=\"143\" \/><br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nHorse weight in Tons = 0.5 T<br \/>\nTrailer weight in Tons = 1.25 T<br \/>\n1 ton = 2000 pounds<br \/>\nthen, 0.5 T = 0.5&#215;2000 = 1000 pounds<br \/>\nthen, 1.25 T = 1.25&#215;2000 = 2,500 pounds<\/p>\n<p>Question 19.<br \/>\nPart B<br \/>\nJake\u2019s truck can tow a maximum weight of 5,000 pounds. What is the maximum number of horses he can take in his trailer at one time without going over the maximum weight his truck can tow? Use numbers and words to support your answer.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nMax. No of Horses = (Max weight truck can tow)\/(Average weight of one horse)<br \/>\nThe weight of a horse is not given in the question .Thus, we assume the average weight of one horse, to be equal to 1000 pounds,<br \/>\nMax. No of Horses = 5000 pounds\/ 1000 pounds<br \/>\nMax. No of Horses = 5<\/p>\n<p>Question 20.<br \/>\nA rectangular room measures 13 feet by 132 inches. Tonya said the area of the room is 1,716 square feet. Explain her mistake, then find the area in square feet.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nA rectangular room measures 13 feet by 132 inches =13 feetx132 inches<br \/>\nTonya said the area of the room is 1,716 square feet<br \/>\nArea of the rectangular room = 13 feet x 132 inches<br \/>\n12inches = 1 foot<br \/>\nThen, 132 inches = 132\/12 = 11 feet<br \/>\nSo, the area of the rectangular room = 13 feet x 12 feet = 156 feet<br \/>\nSo, Tonya\u2019s answer is wrong<\/p>\n<h3>Conclusion:<\/h3>\n<p>Get free access to Download Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length from here. I wish the information prevailed in Go Math Grade 6 Answer Key is beneficial for all the students. We have given the step by step explanation for each and every problem here. So refer to our Go Math 6th Grade Solution Key Chapter 6 Convert Units of Length. If you have any doubts regarding the tops you can ask your doubts in the below mentioned comment section.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In order to solve real-life mathematical problems, students must understand how the information is related, and how to convert the units. You can learn the concepts only when you start from the basics. Download Free Pdf of Go Math Grade 6 Answer Key Chapter 6 Convert Units of length to practice the exercise and homework &#8230; <a title=\"Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/go-math-grade-6-answer-key-chapter-6-convert-units-of-length\/\" aria-label=\"More on Go Math Grade 6 Answer Key Chapter 6 Convert Units of Length\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":8823,"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-6-chapter-6-convert-units-of-length-answer-key.jpeg","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/5066"}],"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\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=5066"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/5066\/revisions"}],"predecessor-version":[{"id":92748,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/5066\/revisions\/92748"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/8823"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=5066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=5066"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=5066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}