Question

The total surface area of a cube is 96 cm2 . The volume of the cube is

Answer 1

Answer:volume of a cube is 64cm3.

Step-by-step explanation:

Surface area of a cube =96cm2.

6a2=96cm2.

Or a2=96/6.

Or a2=16.

Or a=4cm.

Volume of a cube =a3

=4*4*4=64cm3.

Answer 2

Answer:

Step-by-step explanation:

Given :-

• Surface area of a cube = 96 cm²

To Find :-

• The Volume

Formula to be used :-

• Surface area of a cube = 6 (Side)²
• Volume of cube = (Side)³

Solution :-

$\sf Surface \: area \: of \: a \: cube = 6 (Side)^2 = 96\\\sf\implies (Side)^2 = 16\\\sf\implies (Side) = 4 cm$

$\sf Volume \: of \: cube = (Side)^3 \\\sf Volume \: of \: cube= (4)^3 \\\sf Volume \: of \: cube= 64 \: cm^3$

Hence, the volume of the cube is 64 cm³.