Question

A brick measures 30 cm by 10 cm by 5 cm. find the least number of bricks
that are required to be arranged in the form of a cube.Also find the side of the
cube formed.

Answer 1

Given:

L = 30 cm

B = 10 cm

H = 5 cm

To Find:

The least number of bricks  that are required to be arranged in the form of a cube.

Solution:

- The LCM of 30, 10 and 5 is 30.

⇒ The side of the cube = 30 cm.

- The volume of brick cube = (30)³ = 27000 cm³

- The volume of 1 brick = 30 × 10 × 5 = 1500 cm³

- The no of bricks = Volume of brick cube / Volume of 1 brick

⇒ N = 27000 / 1500

⇒ N = 18

- So, the least number of bricks  that are required to be arranged in the form of a cube is Eighteen (18) and the side of the brick cube formed is 30 cm.