Question

A rectangular swimming pool of length 30 m, breadth 25 m and 4.5 m depth is to be constructed with tiles of square shape. Find how many such tiles needed (approx) to cover the swimming pool. It is given that the side of the tiles is 40 cm
1. 7564
2. 7765
3. 7862
4. 7781

Answer 1

Correct Answer - Option 4 : 7781

Given:

Length = 30 m

Breadth = 25 m

Depth = 4.5 m

Side of the square shape tiles = 40 cm

Formula used:

Lateral surface area of a cuboid (L.S.A) = 2 × (l + b) × h

Area of a rectangle = (l × b)

l = length 

b = breadth

h = height

area of a square = a²

a = side of the square

Calculation:

Area of the base of the pool = (30 × 25)m2

⇒ 750 m²

Area of the four walls of the pool = 2 × (30 + 25)m × 4.5 m 

⇒ 2 × (30 + 25)m × 4.5 m

⇒ 495 m²

Total area = (750 + 495)m²

⇒ 1245 m²

Area of the square tiles = (0.4)²

⇒ 0.16 m²

No of tiles required = 1245/0.16

⇒ 7781.25 ≈ 7781

∴ Required titles is 7781 (approx)