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in Surface Areas And Volumes by (49.9k points)

A wall 15m long, 30cm wide and 4m high is made of bricks, each measuring 22 cm × 12.5cm × 7.5 cm. If 1/12 of the total volume of the wall consists of mortar, how many bricks are there in the wall?

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We know that volume of cuboid = length × breadth × height

Volume of the wall = 150 × 30 × 400 = 18000000 cm3

The quantity of mortar= 1/12 × 18000000 = 1500000

Volume of bricks= 18000000 – 1500000 = 16500000 cm3

Volume of single brick = 22 × 12.5 × 7.5 = 2062.5 cm3

Therefore, total number of bricks required

=total volume of the bricks/ volume of the each brick

= 16500000/2062.5

= 8000 bricks

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