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Question
How many bricks of size 22 cm × 10 cm × 7 cm are required to construct a wall 11 m long, 3.5 m high and 40 cm thick, if the cement and sand used in the construction occupy (1/10)th part of the wall?
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Solution
Volume of each brick = 22 cm × 10 cm × 7 cm
= 1540 cm3
= 0.00154 m3
Volume of wall = l × b × h
= `11m xx 3.5 m xx 40/100 m`
= 11 × 3.5 × 0.4 ...[∵ 1 m = 100 cm]
= 15.4 m3
If 1/10th part of the wall used in cement and sand, then part of wall used by cement and sand remaining = `15.4/10 m^3 = 1.54 m^3`
Remaining part = 15.4 – 1.54 = 13.86 m3
Number of bricks = `"Volume of wall to be construct"/"Volume of each brick"`
= `13.86/0.00154`
= 9000
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