Question

The volume of a cube whose surface area is 96 cm², is

Options

• 16`sqrt(2) cm^3`

• 32 cm³

• 64 cm³

•  216 cm³

Answer 1

Let,

 a → Side of the cube

V → Volume of the cube

A → Surface area of the cube

We have,

`A = 96 cm^2`

6a^2 = 96`                   { Since ,A = 6a² }

     a = 4 cm 

So,

V = a³

    =4³

    =64 cm³

Thus, volume of the cube is 64 cm³.