Question

A wall 15m long ,30 cm wide and 4m high is made of bricks,each measuring 22cm*12.5*7.5 if 1/12 of the total volume of the wall consists of mortar,how many bricks are there in the wall?​

Answer 1

Heya user!

$\underline{\underline{\pink{\huge\sf Solution}}}$

The dimension of the wall are :-

Length =15m

Breadth =0.3 m

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 ^3

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 = 1.5m^3

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 ^3

Length = 22cm = 0.22m

Breadth =12.5cm =0.125 m

Height = 7.5cm =0.075 m

We know that :-

Volume of one brick = 0.22×0.125×0.075

So we get

Volume of one brick= 0.0020625m^3

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.

______________________________________

Hope that helps.