A swimming pool is 25 m long and 10 m wide. Its floor is flat but slopes evenly along the length, so the water is 1 m deep at the shallow end and 3 m deep at the deep end. Find the capacity of the pool in litres.

Question

Accepted Answer

500000. Along its length the pool is a prism whose cross-section is a trapezium with parallel sides 1 m and 3 m and width 25 m: area = ½ × (1 + 3) × 25 = 50 m². Volume = 50 × 10 = 500 m³. Since 1 m³ = 1000 litres, the capacity = 500000 litres.

A swimming pool is 25 m long and 10 m wide. Its floor is flat but slopes evenly along the length, so the water is 1 m deep at the shallow end and 3 m deep at the deep end. Find the capacity of the pool in litres.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice