Question

A rectangular swimming pool $30m$ long, $20m$ wide and $1.5m$ deep is to be tiled. If each tile is $50cm\times 50cm$, how many tiles will be required.

Answer 1

Length of swimming pool $l=30m$

Breadth of swimming pool $b=20m$

Height of swimming pool $h=1.5m$

The total surface area of pool= Lateral surface area + Area of base

$=2h(l+b)+(l\times b)$

$=2\times 1.5(30+20)+(30\times 20)$

$=750m^2$

Side of square tile $a=50cm=0.5m$

Area of 1 tile $=a\times a=0.5\times 0.5=0.25m^2$

Number of tiles $=\frac{areaofpool}{areaoftile}$

$=\frac{750}{0.25}$

Number of tiles $=3000$

Therefore $3000$ tiles are required.