  Question

# A wall 15 m long, 30 cm wide and 4 m high is made of bricks, each measuring (22 cm×12.5 cm×7.5 cm).If112 of the total volume of the wall consists of mortar, how many bricks are there in the wall ?

Solution

## 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 = 18000000cm3 Given that 1/12 volume of wall consist of mortar .  Volume of the wall consisting of mortar = 18000000cm312 = 1500000 cm3 Sothat Volume of wall consisting of bricks = 18000000 - 1500000 = 16500000cm3 Dimensions of brick l = 20 cm,  b = 12.5 cm, h = 7.5 cm.  Volume of each brick = (20 x 12.5 x 7.5) cm3 = 1875 cm3 Now the number of bricks in wall = Volume of the wall consisting of bricksVolume of one brick Number of bricks in wall = 16500000/1875 = 8800.  Thus, there are 8800 bricks in the wall.  Hence, the required number of bricks is 8800.  Suggest corrections  Similar questions
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