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A swimming pool is 50 metres long and 15 metres wide. Its shallow and deep ends are 1121\dfrac{1}{2} metres and 4124\dfrac{1}{2} metres deep respectively. If the bottom of the pool slopes uniformly, find the amount of water required to fill the pool.

Mensuration

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Answer

Given,

Length of swimming pool = 50 m

Width of swimming pool = 15 m

Its shallow and deep ends are 1.5 m and 4.5 m deep

A swimming pool is 50 metres long and 15 metres wide. Its shallow and deep ends are 1 1⁄2 metres and 4 1⁄2 metres deep respectively. If the bottom of the pool slopes uniformly, find the amount of water required to fill the pool. Mensuration, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

By formula,

Area of cross section of swimming pool = 12×\dfrac{1}{2} \times (sum of parallel sides) × length

= 12×(1.5+4.5)×50\dfrac{1}{2} \times (1.5 + 4.5) \times 50

= 12\dfrac{1}{2} × 6 × 50

= 150 m2.

Amount of water required to fill pool = Area of cross section × width

= 150 × 15

= 2250 m3.

Hence, amount of water required to fill pool 2250 m3.

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