Question

swimming pool is 60 m long and 18 m wide. The depth of water at shallow end is 2 m, increasing uniformly to a depth of 5 m at the deep end. The number of cubic metres of water in the pool is​

Answer 1

The cross section of the swimming pool is a trapezium with parallel sides 1.5m and 3m (depth of both ends) and 40m (length of pool) as the ⊥ r distance between ∥ sides.

The width of pool 1.5m can be the length of  cross section.

Length of swimming pool=40m

Breadth of the pool=15m

Depth of the pool=1.5m and 3m

∴ Volume of the water=21[(1.5+3)×40]×15m3

 =21×4.5×40×15

=1350m3

Capacity of water in litres =1350×1000litres   (1m3=1000litres)

   =1350000litres