the swimming pool is 20 metre in length and 15 metre and breadth and 4 metre and depth find the cost of cementing its wall and floor @ rupees 5 per metre square also find the water required to fill the swimming pool completely
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GIVEN THAT
Length of the swimming pool is, l = 20 m
Breadth of the swimming pool is, b = 15 m
Height of the swimming pool, h = 4 m
TO FIND
The cost of cementing its floor and walls at the rate of Rs.12 per square metre.
SOLUTION
The surface area of cuboid to be cemented is given by :
The surface area of the cuboid = Area of 4 walls + area of floor
The surface area of the cuboid = Lateral surface area of cuboid + area of floor
The surface area of the cuboid is
SA = 2h(l + b) + lb
= 2×4 (20 + 15) + 20×15
= 8 × 35 + 300
= 580 m²
For Rs. 5 per m²
Cost = SA × 5
= 580 × 5
= 2900
So, The cost of cementing its floor and walls at the rate of Rs. 5 per square metre is Rs 2900.
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