Question

If you answer God will bless you:

A swimming pool is 30m long and 1pm wide. The water at the deep end is 3m deep and the water at the shallow end is 1m deep. Find the volume of the water in the pool
​

Answer 1

600 m³

Explanation:

Given:

• length of swimming pool = 30 m
• width of swimming pool = 10 m
• depth at deep end = 3 m
• depth at shallow end = 1 m

To find the volume of the water in the pool, find the area of a cross section (see attached image) and multiply it by the width of the pool.

Area of cross section

= area of rectangle - area of triangle

= (3 × 30) - [1/2 × 30 × (3 - 1)]

= 90 - 30

= 60 m²

Volume of pool

= area of cross section × width

= 60 × 10

= 600 m³