Question

A marble tile measures 10 cm $\times$ 12 cm. How many tiles will be required to cover a wall of size 3 m $\times$ 4 m?

Also, find the total cost of the tiles at the rate of Rs 2 per tile.

Answer 1

Measure of marble tile = 10 cm $\times$ 12 cm

Size of the wall = 3 m $\times$ 4 m = 300 cm $\times$ 400 cm

So the area of marble tile = 10 cm $\times$ 12 cm = 120 cm${}^2$

Area of wall = 300 cm $\times$ 400 cm = 120000 cm${}^2$

No. of tiles required to cover the wall $=\frac{\text{Area of wall}}{\text{Area of one tile}}$

Substituting the values

No. of tiles required to cover the wall $=\frac{120000}{120}=1000$ tiles

It is given that

Cost of one tile = Rs 2

So the cost of 1000 tiles = 1000 $\times$ 2 = Rs 2000

Hence, 1000 number of tiles are required to cover the wall and the cost is Rs 2000.