Question

If the entire surface area of a cube is 96m', what is its volume ?.
$\bigcirc$32 m
$\bigcirc$ 64 m
$\bigcirc$ 216 m
$\bigcirc$ 125 m
​

Answer 1

Solution :-

According to the question,

The entire surface area of a cube is 96m

We know that,

Total surface area of cube = 6a²

Subsitute the required values,

6a² = 96

a² = 96/6

a² = 16

a = √4 * 4 = 4m

Thus, The side of the cube is 4m

Now,

We have to find the volume of the cube

Therefore,

Volume of the cube = a³

Subsitute the required values,

Volume of the cube

= 4 * 4 * 4

= 16 * 4

= 64m³

Hence , The volume of the cube

is 64m³$.$

Answer 2

Step-by-step explanation:

According to the question,

The entire surface area of a cube is 96m

We know that,

Total surface area of cube = 6a²

Subsitute the required values,

6a² = 96

a² = 96/6

a² = 16

a = √4 * 4 = 4m

Thus, The side of the cube is 4m

Now,

We have to find the volume of the cube

Therefore,

Volume of the cube = a³

Subsitute the required values,

Volume of the cube

= 4 * 4 * 4

= 16 * 4

= 64m³

Hence , The volume of the cube

is 64m³..