1. A swimming pool has to be tiled completely with square tiles of side 60 cm.
Find the area of the surface to be tiled, if the dimensions of the pool are
8 m x 3.5 mx 7.5 m. Find the minimum number of tiles required. Calculate
the cost of tiling at the rate of 80 per square meter.
Answers
Given:
A swimming pool has to be tiled completely with square tiles of side 60 cm.
The dimensions of the pool are 8 m × 3.5 m × 7.5 m
To find:
(a). Find the area of the surface to be tiled?
(b). Find the minimum number of tiles required?
(c). Calculate the cost of tiling at the rate of 80 per square meter?
Solution:
The dimensions of the pool:
Length, l = 8 m
Breadth, b = 3.5 m
Height, h = 7.5 m
(a). Finding the area of the surface to be tiled:
The area of the surface of the pool that is to be tiled is,
= [Lateral surface area of the pool] + [Area of the base of the pool]
= [2h(l + b)] + [l × b]
substituting the values of l, b & h
= [2 × 7.5 × (8 + 3.5)] + [8 × 3.5]
= [2 × 7.5 × 11.5] + [8 × 3.5]
= 172.5 + 28
= 200.5 m²
Thus, the area of the surface of the pool to be tiled is 200.5 m².
(b). Finding the minimum no. of tiles required:
The side of each square tile = a = 60 cm = 0.6 m
∴ The area of each square tile = a² = 0.6² = 0.36 m²
Now,
The no. of tiles required to cover the surface of the pool is,
=
=
= 556.94
≈ 557
Thus, the minimum no. of tiles required is 557.
(c). Finding the cost of tiling the pool:
If the cost of tiling 1 m² = Rs. 80
Then, the cost of tiling 200.5 m² = 200.5 m² × Rs. 80/m² = Rs. 16040
Thus, the cost of tiling the surface of the pool is Rs. 16040.
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Given:
A swimming pool has to be tiled completely with square tiles of side 60 cm.
The dimensions of the pool are 8 m × 3.5 m × 7.5 m
To find:
(a). Find the area of the surface to be tiled?
(b). Find the minimum number of tiles required?
(c). Calculate the cost of tiling at the rate of 80 per square meter?
Solution:
The dimensions of the pool:
Length, l = 8 m
Breadth, b = 3.5 m
Height, h = 7.5 m
(a). Finding the area of the surface to be tiled:
The area of the surface of the pool that is to be tiled is,
= [Lateral surface area of the pool] + [Area of the base of the pool]
= [2h(l + b)] + [l × b]
substituting the values of l, b & h
= [2 × 7.5 × (8 + 3.5)] + [8 × 3.5]
= [2 × 7.5 × 11.5] + [8 × 3.5]
= 172.5 + 28
= 200.5 m²
Thus, the area of the surface of the pool to be tiled is 200.5 m².
(b). Finding the minimum no. of tiles required:
The side of each square tile = a = 60 cm = 0.6 m
∴ The area of each square tile = a² = 0.6² = 0.36 m²
Now,
The no. of tiles required to cover the surface of the pool is,
=
=
= 556.94
≈ 557
Thus, the minimum no. of tiles required is 557.
(c). Finding the cost of tiling the pool:
If the cost of tiling 1 m² = Rs. 80
Then, the cost of tiling 200.5 m² = 200.5 m² × Rs. 80/m² = Rs. 16040
Thus, the cost of tiling the surface of the pool is Rs. 16040.
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