Q15 of 24 Page 236

A swimming pool is 40m long and 15m wide. Its shallow and deep ends are 1.5 m and 3 m deep respectively. If the bottom of pool slopes uniformly. Find the amount of water in liters required to fill the pool.

Given,


Length (l) = 40m


Width (w) = 15m


Shallow end height = 1.5 m


Deep end height = 3m



So, To find the volume of the pool, we first find the area of trapezium ABCD and considering trapezium as base multiply it with width to find the volume.




= 90 m2


The volume of water to fill pool = Base area × height


Here height is the width of the pool (w)


⇒ Volume = 90 × 15


= 1350 m3


So, amount of water required to fill pool is 1350000 litres.


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