Respuesta :

Answer:

Perimeter of the base of the cube= [tex]24\,inches[/tex]

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:

  [tex]Volume=(Side)^3[/tex]

For,

   [tex]Volume=216\,inches^3[/tex]

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

The cube root of '216' =  6

[tex]Side=6\,inches[/tex]

The base of a cube has four equal sides :

Perimeter of the base of the cube= [tex]4\times Side[/tex]

[tex]=4\times 6\\\\Perimeter=24\,inches[/tex]

The Perimeter of the base of the cube is: [tex]24\,inches[/tex]