Question

A swimming pool ( with cross section of a Trapezium ) is 40 m long and 15 m wide . Its shallow and the deep end are 2 m and 4.5 m respectively. If the bottom of the pool slopes uniformly ,the amount of water required to fill the pool in litres is ​

Answer 1

Given:

• Length of swimming pool = 40m
• Breadth of swimming pool = 15m
• Depth of the pool = 4.5m and 2m

To Find:

• The amount of water required to fill the pool in litres is = ?

Solution:

Given,

• Length = 40m
• Breadth = 15m
• Depth = 4.5m and 2m

$\sf \: volume \: of \: water = \frac{1}{2} \times((4.5 + 2) \times 40) \times 15 \\ \\ \sf \: = \frac{1}{2} (6.5 \times 40) \times 15 \\ \\ \sf = \frac{1}{2} \times 260 \times 15 \\ \\ \sf \: = 1950 {m}^{3}$

Capacity of water in litres = 1950 * 1000 = 1950000 litres