Question

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

Answer 1

Answer:

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

Step-by-step 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= $4\times Side$

$=4\times 6\\\\Perimeter=24\,inches$

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