Students who want to learn the volume of cuboids and cubes can use the Worked-out Problems on Volume of a Cuboid here. Get to see various examples on the cuboid volume in the coming sections. Try to solve the questions and improve your preparation standards. Check out the Cube and Cuboid Word Problems with solutions in the below sections.<\/p>\n
Question 1.<\/strong><\/p>\n Find the volume of a cuboid of length 18 cm, breadth 25 cm, and height 5 cm?<\/p>\n Solution:<\/strong><\/p>\n Given that,<\/p>\n Length of cuboid = 18 cm<\/p>\n Breadth of cuboid = 25 cm<\/p>\n Height of cuboid = 5 cm<\/p>\n Cuboid volume = length x breadth x height<\/p>\n Volume = 18 x 25 x 5<\/p>\n = 2250<\/p>\n Therefore, the volume of a cuboid is 2250 cm\u00b3.<\/p>\n Question 2.<\/strong><\/p>\n If the area of the base and height of the cuboid is 212 cm\u00b2, 8 cm, calculate cuboid volume?<\/p>\n Solution:<\/strong><\/p>\n Given that,<\/p>\n The base of the base = 212 cm\u00b2<\/p>\n Height of a cuboid = 8 cm<\/p>\n Cuboid volume = (Area of the base) x height<\/p>\n Volume = 212 x 8 = 1696 cm\u00b3.<\/p>\n Question 3.<\/strong><\/p>\n Find the volume of the cube whose each side is 16 cm?<\/p>\n Solution:<\/strong><\/p>\n Given that,<\/p>\n Side length of cube a = 16 cm<\/p>\n The volume of the cube V = a\u00b3<\/p>\n V = 16\u00b3 = 16 x 16 x 16<\/p>\n V = 4096 cm\u00b3<\/p>\n Therefore, the cube volume is 4096 cm\u00b3.<\/p>\n Question 4.<\/strong><\/p>\n If the cuboid volume is 512 cm\u00b3, its length and height is 8 cm, 7 cm. Find the cuboid breadth?<\/p>\n Solution:<\/strong><\/p>\n Given that,<\/p>\n Cuboid Volume = 512 cm\u00b3<\/p>\n Cuboid length = 8 cm<\/p>\n Cuboid height = 7 cm<\/p>\n Cuboid breadth = Volume \/ (length) x (height)<\/p>\n = 512 \/ (8 x 7)<\/p>\n = 512 \/ 56 = 9.142 cm<\/p>\n Therefore, the breadth of cuboid is 9.142 cm.<\/p>\n Question 5.<\/strong><\/p>\n The length, breadth, and depth of a lake are 15 m, 20 m, 9 m respectively. Find the capacity of the lake in liters?<\/p>\n Solution:<\/strong><\/p>\n Given that,<\/p>\n Length of lake = 15 m<\/p>\n Breadth of lake = 20 m<\/p>\n Depth of lake = 9 m<\/p>\n Capacity of lake = (length) x (breadth) x (depth)<\/p>\n = 15 x 20 x 9 = 2700 m\u00b3<\/p>\n 1000 liter = 1 m\u00b3<\/p>\n Capacity of lake in Litres = 2700 x 1000<\/p>\n = 2700000 litres<\/p>\n Therefore, the capacity of lake is 2700000 litres.<\/p>\n Question 6.<\/strong><\/p>\n The dimensions of the brick are 25 cm x 8 cm x 10 cm. How many such bricks are required to build a wall of 16 m in length, 20 cm breadth, and 8 m in height?<\/p>\n Solution:<\/strong><\/p>\n Given that,<\/p>\n Length of brick = 25 cm<\/p>\n Breadth of brick = 8 cm<\/p>\n Height of brick = 10 cm<\/p>\n Length of wall = 16 m<\/p>\n Breadth of wall = 20 m<\/p>\n Height of wall = 8 m<\/p>\n Volume of 1 brick = length x breadth x height<\/p>\n = 25 x 8 x 10 = 2000 cm\u00b3<\/p>\n Volume of wall = length x breadth x height<\/p>\n = 16 x 20 x 8<\/p>\n = 2560 = 2560 x 100\u00b2<\/p>\n Number of bricks required = (2560 x 100\u00b2) \/ 2000<\/p>\n = 1280 x 10 = 12800<\/p>\n So, the required number of bricks are 12800.<\/p>\n Question 7.<\/strong><\/p>\n External dimensions of a wooden cuboid are 20 cm \u00d7 15 cm \u00d7 12 cm. If the thickness of the wood is 2 cm all around, find the volume of the wood contained in the cuboid formed.<\/p>\n Solution:<\/strong><\/p>\n Given that,<\/p>\n External length of cuboid = 20 cm<\/p>\n External breadth of cuboid = 15 cm<\/p>\n External height of the cuboid = 12 cm<\/p>\n External volume of the cuboid = (length x breadth x height)<\/p>\n = (20 x 15 x 12) = 3600 cm\u00b3<\/p>\n Internal length of cuboid = 20 \u2013 4 = 16 cm<\/p>\n Internal breadth of cuboid = 15 \u2013 4 = 11 cm<\/p>\n Internal height of the cuboid = 12 \u2013 4 = 8 cm<\/p>\n Internal volume of a cuboid = (length x breadth x height)<\/p>\n = (16 x 11 x 8) = 1408 cm\u00b3<\/p>\n Therefore, volume of wood = External volume of the cuboid \u2013 Internal volume of a cuboid<\/p>\n = 3600 \u2013 1408 = 2192 cm\u00b3<\/p>\n \u2234 Volume of the wood contained in the cuboid is 2192 cm\u00b3.<\/p>\n Question 8.<\/strong><\/p>\n The volume of a container is 1440 m\u00b3. The length and breadth of the container are 15 m and 8 m respectively. Find its height?<\/p>\n Solution:<\/strong><\/p>\n Given that,<\/p>\n Length of the container = 15 m<\/p>\n The breadth of the container = 8 m<\/p>\n The volume of the container = 1440 m\u00b3<\/p>\n (length x breadth x height) = 1440<\/p>\n 15 x 8 x height = 1440<\/p>\n 120 x height = 1440<\/p>\n height = 1440\/120<\/p>\n height = 12<\/p>\n \u2234 The height of the container is 12 m.<\/p>\n","protected":false},"excerpt":{"rendered":" Students who want to learn the volume of cuboids and cubes can use the Worked-out Problems on Volume of a Cuboid here. Get to see various examples on the cuboid volume in the coming sections. Try to solve the questions and improve your preparation standards. Check out the Cube and Cuboid Word Problems with solutions … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/35601"}],"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\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=35601"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/35601\/revisions"}],"predecessor-version":[{"id":92626,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/35601\/revisions\/92626"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=35601"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=35601"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=35601"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}