Question

A 6.0 m * 12.0 m swimming pool slopes linearly from a 1.0 m depth at one end to a 3.0 m depth at the other. What is the mass of water in the pool?

Short answer

Mass of water in the pool is 1.44 x 10⁵ kg.

Step-by-step solution

Given information

Width = 6.0 m

Length= 12.0 m

Depth increases from one end 1.0 m to other end to a 3.0 m

3Step2: Explanation

First find the volume

$(12m)\times (6m)\times \left(\frac{1m+3m}{2}\right)=144m^3$

Mass = volume x density

Mass of water = 144 m³ x 1000 kg/m³ = 1.44 x 10⁵kg.