Question

A man makes a cuboid of moulding clay of dimension.12cm,9cm,8 cm respectively.to make a perfect cube how many such cuboid are required

Answer 1

72 such cuboids are required to make a perfect cube.

Explanation:

V = l x w x h

V = 12 cm x 9 cm x 8 cm = 864 cm^3

edge length = V^(1/3) = (864 cm^3)^(1/3) = 12 cm

V_cube = edge length^3 = 12 cm^3

number of cubes = V_cuboid / V_cube = 864 cm^3 / 12 cm^3 = 72

Therefore, 72 such cuboids are required to make a perfect cube.