Question

The volume of a cube is 216 in.³. What is the perimeter of the base of the cube?

Answer 1

Perimeter of the base of the cube=
`24\,inches`

Explanation:

A cube is a three dimensional figure that has all of its sides equal.

Volume of a cube can be find by the formula:

`Volume=(Side)^3`

For,

`Volume=216\,inches^3`

`216=(Side)^3\\\\Side=\sqrt[3]{216}\\`

The cube root of '216' = 6

`Side=6\,inches`

The base of a cube has four equal sides :

Perimeter of the base of the cube=
`4* Side`

`=4* 6\\\\Perimeter=24\,inches`

The Perimeter of the base of the cube is:
`24\,inches`