Question

Find the volume of cube whose surface area is 150m square

Answer 1

The volume of a cube whose surface area is 150m square is 125 cubic meters.

Explanation:

So, the formula to find the volume of a cube is V= s^3, where s is the length of one of the sides. If the surface area of the cube is 150 square meters, then the length of one side is 5 meters. Therefore, the volume of the cube is 125 cubic meters.

Answer 2

`\huge\boxed{\sf V = 125\ m\³}`

Explanation:

Given that,

Surface area of cube = 150 m

We know that,

Surface area = 6a² -----------(1)

Where, a is the side length of the cube.

Eq. (1) becomes,

150 = 6a²

• Divide both sides by 6

150/6 = a²

25 = a²

• Take square root on both sides

√25 = √a²

5 = a

OR

a = 5 m

Now,

We know that,

Volume of a cube = a³

So,

V = (5)³

V = 125 m³

`\rule[225]{225}{2}`