Question

The perimeter of one face of a cube is 20 cm. Find the volume of the cube.

• A. $125c{m}^3$
• B. $400c{m}^3$
• C. $250c{m}^3$
• D. $625c{m}^3$

Answer 1

The correct option is A $125c{m}^3$

We know that all sides of a cube are equal.
All faces of a cube are square shaped.

Given, perimeter = 20 cm
We know that the perimeter of a square = 4 x side

i.e, 4 x side = 20 cm
$\therefore Side=\frac{20}{4}=5cm$
Therefore, length of a side of a cube = 5 cm.

Volume of cube $=a^3$ (where a is the side)
$=a\times a\times a$
$=5\times 5\times 5$
$=125c{m}^3$

Therefore, volume of the cube is 125$c{m}^3$