a wall15 metre long 30 cm wide and 4m height is made of bricks each measuring 22cm×12.5cm×7.5cm. 1/12 is the total volume of the wall consists of mortar, how many bricks are there in a wall?
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Height of the wall = 4m = 400cm
Length of the wall = 15m = 1500cm
Width of the wall = 30cm
∴ Volume of the wall = (400 * 1500 * 30)cm3 = 18000000 cm3
Given that 1/12 volume of wall consist of mortar .
Volume of the wall consisting of mortar = 18000000 cm3 / 12 = 1500000 cm3
Sothat Volume of wall consisting of bricks = 18000000 - 1500000 = 16500000cm3.
Dimensions of brick l = 22cm, b = 12.5 cm, h = 7.5 cm.
Volume of each brick = (22 x 12.5 x 7.5) cm3 = 2062.5cm3
Now the number of bricks in wall = Volume of the wall consisting of bricks / Volume of one brick.
Number of bricks in wall = 16500000/2062.5 = 8000.
Thus, there are 8000 bricks in the wall.
Hence, the required number of bricks is 8000.
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