Find the number of bricks, each measuring 22 cm × 10 cm × 7 cm required to construct a wall 44 m long, 1.5 m high and 85 cm thick.

Length of brick = 22 cm

Breadth of brick = 10 cm

Height of brick = 7 cm

Brick is in the shape of a cuboid

Volume of cuboid = length × breadth × height

⇒ volume of 1 brick = 22 × 10 × 7

= 1540 cm³

Let n bricks be required to make the wall

Length of wall = 44 m = 4400 cm

Breadth of wall = 85 cm

Height of wall = 1.5m = 150 cm

Volume of wall = 4400 × 85 × 150

= 56100000 cm³

The wall is completely made from bricks therefore

Volume of n bricks = volume of wall

⇒ n × volume of one brick = 56100000

⇒ n × 1540 = 56100000

⇒ n =

⇒ n =

Dividing numerator and denominator by 22, we get

⇒ n =

⇒ n = 36428.57 ~ 36429

Number of brick required = 36429