How many bricks of length 25 cm, breadth 15 cm and height 10 cm are re

1.	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?
Answer» 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.

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?

Answer»

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.