Question

The total surface area of a cube is 150 cm2 . its volume is a) 216cm3 b) 125cm3 c) 64cm3 d) 1000cm3​

Answer 1

Answer

B) 125 cm3

Explanation

We know that the total surface area of the cube =6a

2

.

Given, the surface area of a cube is 150cm

2

.

So,

150=6a²

⟹ a

2

=

6

150

=25

⟹ a=5.

Hence, the side of the cube is 5cm.

Now, we know that the volume of the cube V=a

3

Therefore, V=5

3

=125cm

3

.

Hence, option B is correct.