Check sibling questions

Ex 11.4, 4 - A cuboid is of dimensions 60 cm x 54 cm x 30 cm. How many

Ex 11.4, 4 - Chapter 11 Class 8 Mensuration - Part 2
Ex 11.4, 4 - Chapter 11 Class 8 Mensuration - Part 3

Introducing your new favourite teacher - Teachoo Black, at only ₹83 per month


Transcript

Ex 11.4, 4 A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid? Given, Length of cuboid = l = 60 cm Breadth = b = 54 cm & Height = h = 30 cm Also, Side of cube = 6 cm Now, Cube is placed in the cuboid So, Volume of cuboid = Number of cubes × Volume of 1 cube Number of cubes = (𝑉𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑐𝑢𝑏𝑜𝑖𝑑)/(𝑉𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 1 𝑐𝑢𝑏𝑒) Volume of cuboid Volume = 𝑙×𝑏×ℎ = 60×54×30 = 6×54×3×100 = 18×54×100 = 972×100 = 97200 cm3 Volume of cube Volume = (Side)3 = 6×6×6 = 216 cm3 Now, Number of cubes = (𝑉𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑐𝑢𝑏𝑜𝑖𝑑)/(𝑉𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 1 𝑐𝑢𝑏𝑒) = 97200/216 = 16200/36 = 2700/6 = 450 ∴ 450 small cubes can be placed in cuboid.

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.