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

$\begin{array}{l}\text{The cross section of the swimming pool is a trapezium with parallel sides 1.5m and 3m}\\ \text{(depth of both ends) and 40m (length of pool) as the }\perp\ r\ \text{distance between}\ \parallel\ \text{sides.}\\ \text{The width of pool 1.5m can be the length of cross section.sides.}\\ \text{Length of swimming pool}=40m\\ \text{Breadth of the pool}=15m\\ \text{Depth of the pool}=1.5m\ \text{and}\ 3m\\ \text{Volume of the water}=\frac{1}{2}\left[\left(1.5+3\right)\times40\right]\times15\ m^3\\ =\frac{1}{2}\times4.5\times40\times15\ m^3=1350m^3\\ \\ \text{Capacity of water in litres }=1350\times1000\ litres(1m^3=1000litres)\\ =1350000\ litres\end{array}$

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