Question

Find the edge of a cube whose volume is equal to the volume of a cuboid with dimensions 36 cm × 75 cm × 80 cm.

Answer 1

Given:

Dimensions of a cuboid = 36 cm × 75 cm × 80 cm.

To find:

The edge of a cube whose volume is equal to the volume of the given cuboid.

Solution:

We know that the volume of a cuboid is

`Volume=length* breadth * height`

`V_1=36* 75 * 80`

`V_1=216000`

The volume of a cube is

`Volume=a^3`

Where, a is the side length of the cube.

The volume of cube and cuboid are equal. So,

`a^3=216000`

`a=\sqrt[3]{216000}`

`a=60`

Therefore, the measure of edge of the cube is 60 cm.