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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?
Solution
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
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