Q.

A swimming pool is of dimensions 25 m × 12 m × 5.5 m. What is the cost of cementing its floor and wall at the rate of Rs 12.50 per square metre?

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a

Rs 12587.50

b

Rs 20625.50

c

Rs 8837.50

d

Rs 5087.50

answer is B.

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Detailed Solution

Length (l) of the swimming pool = 25 m

Breadth (b) of the swimming pool = 12 m 

Height (h) of the swimming pool = 5.5 m

The area of the four walls as well as the floor of the swimming pool is given by 2h (l + b) + lb.

=2×5.5×25+12+25×12 m2

=407+300 m2

=707 m2

Cost of cementing 1 m2 of area = Rs 12.50

∴ Cost of cementing 707 m2 of area = Rs (707 × 12.50) = Rs 8837.50

Thus, the cost of cementing the floor and the wall of the swimming pool is Rs 8837.50.

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