Question

A cube has total surface area 150 cm square, find the volume of cube. somebody help me to solve this.​

Answer 1

We have been provided with the total surface area of cube that is 150cm².

So here we will first find out the value of a side of cube.

★ Total surface area of cube :-

• T.S.A. = 6a²

Here,

• a is side of cube

Putting the values,

6a² = 150cm²

a² = 150 / 6

a² = 50 / 2

a² = 25

a = √25

a = 5

Henceforth,

• Side of a cube is of 5 cm.

★ Finding out volume of cube :-

As we know that volume of cube is calculated by the formula :

• V = a³

Putting the values,

V = 5³

V = 5 × 5 × 5

V = 25 × 5

V = 125

Henceforth,

• Volume of cube is of 125 cm³.