Question

volume of cube whose surface area is 96 cm square

Answer 1

ANSWER

Surface area of a cube =6(s)sq

6×S sq = 96

S sq = 96÷6

S sq =16

Side= 16 square root

Side=4

Volume=side×side×side

=4×4×4

=16×4

=64

Answer 2

Given : Cube whose surface area is 96 cm².

To find : The volume of the cube.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the volume of the cube)

Let, the length of an edge of the cube = a cm

So, the surface area of the cube :

= 6 × (edge)²

= 6 × (a)²

= 6a² cm²

According to the data mentioned in the question,

6a² = 96

a² = 96/6

a² = 16

a = √16

a = 4

So, length of an edge of the cube = a cm = 4 cm

So, the volume of the cube will be :

= (edge)³

= (4)³

= 64 cm³

(This will be considered as the final result.)

Hence, the volume of the cube is 64 cm³.