Question

If the entire surface area of a cube is 96m', what is its volume ?.
(a) 32 m
(b) 64 m
(c) 216 m
(d) 125 m
​

Answer 1

Step-by-step explanation:

Let a be the side of the cube .

Surface area =6a²

6a²=96

a²=16

a=4(neglecting -ve value as length can never be -ve)

Therefore, Volume of cube=a³=4³=64m³.

Answer 2

Answer

(b) 64 m cube

Step by step explanation:

Given:

The Total Surface Area (TSA) of the cube is 96 m cube.

To find;

The volume of the cube

Now,

The formula of Total Surface Area of cube = 6(a)² unit sq.

[In which 'a' is the side of the cube]

So,

With help of this formula, we can get the side of the cube.

⇒ 6(a)² = 96

⇒ (a)² = 96 ÷ 6

[By transporting 6 to RHS]

⇒ (a)² = 16

⇒ a = 4

[Taking square root in both LHS and RHS]

Thus, the side (a) of the cube is 4 m

Now,

The formula to find the volume of the cube is = a³ unit cube

Volume of cube = (4)³ = 64 m cube

Hence

The volume of the cube is 64 m cube