Question

The total surface area of a cube is 150 cm2
Ito volume is​

Answer 1

The total surface area of a cube is 150 cm

2

. Its volume is:

Medium

Answer

Correct option is

B

125 cm

3

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

2

.

Given, the surface area of a cube is 150cm

2

.

So,

150=6a

2

⟹ 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

.

Answer 2

Answer:

Below is your answer

Step-by-step 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=6a^2

- a^2 =50/6

- a^2 =25

- a =5

Hence the side of the cube is 5 cm.

Now we know that the volume of the cube is

V =a^3

Therefore, V =(5^3) 125cm^3