Question

The perimeter of one face of a cube is 20 cm, then it volume will be
1. 250 cm³
2. 1000 cm³
3. 400 cm³
4. 125 cm³

Answer 1

Correct Answer - Option 4 : 125 cm³

Given:

The perimeter of one face of cube = 20 cm

Formula used:

The volume of the cube = a³

Here, a → side of the cube

The perimeter of the square = 4 × side 

Concept used:

One face of the cube is the square 

Calculation:

The perimeter of the square = 4 × side 

⇒ 20 = 4 × side 

⇒ side = 5 

Now, The volume of the cube = side³

⇒ 5³ = 125

∴ The volume of the cube is 125 cm³