Question

A swimming pool is 40 m long and 15 m wide. Its shallow and deep ends are 1.5 m and 3 m deep respectively. If the bottom of the pool slopes uniformly, find the amount of water in liters required to fill the pool.

Answer 1

Area of cross-section of the solid = `1/2( 1.5 + 3 ) xx ( 40 )`m²

= `1/2`( 4.5 ) × ( 40 ) m²

= 90 m²

Volume of solid = Area of cross section × Length

= 90 × 15 m³

= 1350 m³

= 1350000 liters     ....( Since 1m³ = 1000L )