Question

A wall of length $10m$ is to be built across an open ground. The height of the wall is $5m$ and thickness of the wall is $42cm$. If this wall is to be built with brick of dimensions $24cm\times 12cm\times 10cm$, then how many bricks would be required?

Answer 1

Length of the wall, $l=10m=100cm$

Breadth of the wall, $b=42m=4200cm$

Height of the wall, $g=5m=500cm$

Volume of the wall$=l\times b\times h=100cm\times 4200cm\times 50cm=21000000c{m}^3$

Dimension of the brick$=42cm\times 12cm\times 10cm$

$\therefore$ Volume of each brick$=42cm\times 12cm\times 10cm=5040c{m}^3$

Let the number of bricks required be n.

n$\times$volume of each brick$=$Volume of the wall

Therefore, n$=$vol of the wall/vol of each brick

$n=\frac{21000000}{5040}$

$n=4166.67$

Thus, the number of brick required is $4166.67$.