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 if 1/12 of the total of wall consister of mortars, how many brick are there in wall ?
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The dimensions of the wall are Length = 15m Breadth = 0.3m Height = 4m We know that Volume of the wall = l × b × h By substituting the values Volume of the wall = 15 × 0.3 × 4 So we get Volume of the wall = 18 m3 It is given that the wall consists of 1/12 mortar So we get Volume of mortar = 1/12 × 18 By division Volume of mortar = 1.5 m3 So the volume of wall = Volume of wall – Volume of mortar By substituting the values Volume of wall = 18 – 1.5 By subtraction Volume of wall = 16.5 m3 The dimensions of the brick are Length = 22cm = 0.22 m Breadth = 12.5 cm = 0.125 m Height = 7.5cm = 0.075 m We know that Volume of one brick = l × b × h By substituting the values Volume of one brick = 0.22 × 0.125 × 0.075 So we get Volume of one brick = 0.0020625 m3 So the number of bricks = Volume of bricks/ Volume of one brick By substituting the values Number of bricks = 16.5/0.0020625 So we get Number of bricks = 8000 Therefore, the number of bricks in the wall are 8000.