Mathematics
A swimming pool is 18 m long and 8 m wide. Its deep and shallow ends are 2 m and 1.2 m respectively. Find the capacity of the pool, assuming that the bottom of the pool slopes uniformly.
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Answer
Given:
Length of the pool = 18 m
Width of the pool = 8 m
Depth at the deep end = 2 m
Depth at the shallow end = 1.2 m
Volume of the pool = Area of base x width
Area of base(ABCD) = Area of trapezium = x (sum of parallel side) x height
∵ Height (Length of pool) = 18 m
= x (2 + 1.2) x 18 m2
= x 3.2 x 18 m2
= 1.6 x 18 m2
= 28.8 m2
Volume of the pool = 28.8 x 8 m3
= 230.4 m3
Hence, the capacity of the pool is 230.4 m3.
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