Question

10. A wall 15 m long, 30 cm wide and 4 m high is made of bricks, each
1
measuring (22 cm X 12.5 cm X7.5 cm). If of the total volume of the
12
wall consists of mortar, how many bricks are there in the wall?​

Answer 1

Answer:

The dimension of the wall are

Length =15m

Breadth =0.3m

Height =4m

We know that

Volume of the wall=1×b×h

By substituting the values

Volume of the wall =15×0.3×4

So we get

Volume of the wall =18 cm

It is given that the wall consists of 1/2 mortar

So we get,

Volume of one mortar =1/12×18

By division

Volume of mortar 1.5 m

So the volume of all = Volume of wall -Volume of mortar.

By substituting the values

Volume of wall =18−1.5

By subtraction

Volume of vall =16.5 m

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 =1×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 m

So the number of bricks = Volume of bricks / Volume of one brick

By substituting the values,

Number of bricks = 0.0020625

So we get,

Number of bricks =8000

Therefore, the number of bricks in the wall are 8000.

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