Question

The dimensions of a brick are 24 cm × 12 cm × 8 cm. How many such bricks will be required to build a wall of 20 m length, 48 cm breadth and 6 m height?

Answer 1

Length of a brick (l) = 24 cm

Breadth of a brick (b) = 12 cm

Depth of a brick (h) = 8 cm

Volume of a brick = lbh cu.units

Volume of one brick = 24 × 12 × 8 cm³

Length of a wall (l) = 20 m = 2000 cm

Breadth of a wall (b) = 48 cm

Height of a wall (h) = 6 m = 600 cm

Volume of a wall = l × b × h cu.units

= 2000 × 48 × 600 cm³

Number of bricks

= `"Volume of the wall"/"Volume of one brick"`

= `(2000 xx 48 xx 600)/(24 xx 12 xx 8)`

= `(2000 xx 2 xx 600)/(12 xx 8)` ...(÷ by 24)

= `(2000 xx 2 xx 50)/8` ...(÷ by 12)

= `(2000 xx 50)/4` ...(÷ by 2)

= 500 × 50 ...(÷ by 4)

= 25000 bricks

∴ Number of bricks = 25000