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How many bricks of length 25 cm, breadth 15 cm and height 10 cm are required to build a wall of length 6 m, height 2.5 m and breadth 0.5 m?

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Given: For the cuboidal shape brick: 

length (l ) = 25 cm, 

breadth (b ) = 15 cm,

height (h ) = 10 cm 

For the cuboidal shape wall: 

length (l ) = 6 m, 

height (h ) = 2.5 m, breadth (b ) = 0.5 m 

To find: Number of bricks required 

When all the bricks are arranged to build a wall, the volume of all the bricks is equal to volume of wall.

∴ Number of bricks

= volume of the wall/volume of a brick

i. Volume of a brick = l1 x b1 x h1 

= 25 x 15 x 10 cc 

ii. l2 = 6m = 6 x 100 …[∵ 1m = 100cm] = 600 cm 

h2 = 2.5 m = 2.5 x 100 = 250 cm 

b2 = 0.5 m = 0.5 x 100 = 50 cm

Volume of the wall = l2 x b2 x h2 

= 600 x 50 x 250 cc

iii. Number of bricks = volume of the wall/volume of a brick

= 600 × 50 × 250/25 × 15 × 10

= 40 x 2 x 25

= 2000 bricks 

∴ 2000 bricks are required to build the wall.

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