The volume of a cube whose surface area is `96\ c m^2,` is (a) `16sqrt(2)\ c m^3` (b) `32\ c m^3` (c) `64\ c m^3` (d) `216\ c m^3`

Explanation

Given surface area = 96 cm^2

As we know that the surface area = `6a^2` ( a=side )

`96=6a^2`

`a^2=96/6`=`16`

`a=4 cm`

Now, volume of cube = `a^3`

`4^3`=`64cm^3`

Hence, Volume of a cube is `64cm^3`.