Question

How many bricks, each of size $25cm\times 13.5cm\times 6cm$ will be required to build a wall $8m$ long, $5.4m$ high and $33cm$ thick?

Answer 1

Given:

The dimensions of the brick $=25cm\times 13.5cm\times 6cm$

The dimensions of wall $=8m\times 5.4m\times 33cm$

Since the volume of cuboid $=\text{length}\times \text{breadth}\times \text{height}$

Now,

Number of bricks $=\frac{\text{Volume of the wall}}{\text{Volume of the brick}}$

$\Rightarrow$ Number of bricks $=\frac{8m\times 5.4m\times 33cm}{25cm\times 13.5cm\times 6cm}$

$\Rightarrow$ Number of bricks $=\frac{800cm\times 540cm\times 33cm}{25cm\times 13.5cm\times 6cm}$ [$\because 1m=100cm$]

$\Rightarrow$ Number of bricks $=\frac{800\times 540\times 33}{25\times 13.5\times 6}$

$\Rightarrow$ Number of bricks $=\frac{14256000}{2025}=7040$

Therefore, $7040$ bricks are required.