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 - If 112 of the total volume of the wall consists of mortar- how many bricks are there in the wall-

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Standard IX

Mathematics

Volume of a Cuboid

A wall 15 m l...

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). If $\frac{1}{12}$ of the total volume of the wall consists of mortar, how many bricks are there in the wall?

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Solution

Length of the wall = 15 m = 1500 cm
Breadth of the wall = 30 cm
Height of the wall = 4 m = 400 cm
Volume of wall = =1500×30×400 cm3= 18000000 cm3
Now, volume of each brick=22×12.5×7.5 cm3=2062.5 cm3
Also, volume of the mortar = 112×volume of the wall
=1800000012=1500000 cm3
Total volume of the bricks in the wall = volume of the wall − volume of the mortar
= (18000000 − 1500000) cm³= 16500000 cm³
∴ Number of bricks = volume of bricks volume of one brick=165000002062.5=8000 bricks

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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). If 112 of the total volume of the wall consists of mortar, how many bricks are there in the wall?

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). If $\frac{1}{12}$ of the total volume of the wall consists of mortar, how many bricks are there in the wall?