Question

A rectangular swimming pool is 25 ft long and 20 1/2 ft wide, and it must be filled to a depth of 4 1/2 ft. One cubic foot of water is equal to 7 1/2 gallons. How many gallons of water will it take to fill the pool?​

Answer 1

ANSWER

307½ gallons of water

EXPLANATION

The volume of the rectangular swimming pool is

$V = l \times w \times h$

where l=25ft and w=20½ ft.

when it is filled to a depth of 4½ ft ,then the height is , h=4½ ft.

We substitute these values into the formula to get:

$V = 25\times 20.5\times 4.5$

$V = 2306.25 {ft}^{3}$

If one cubic foot of water is 7½ gallons, then 2306.25 cubic feet will be

$\frac{2306.25}{7.5} = 307.5gallons$

We need 307.5 gallons of water to fill the pool.