Question

A rectangular swimming pool has a volume of 1750 ft.³ water is being added to the pool at a rate of about 20 ft.³ per minute. use an equation in point slope form to determine about how long will it take to fill the pool completely if there were already 1125 gallons of water in the pool use the fact that one cubic foot of space holds about 7.5 gallons of water round the answer to the nearest integer if necessary

Answer 1

You have a rectangular pool 15 X 30 X 5 feet

The floor of the pool is 15X30 = 450 ft2

Two sides are 5X15 = 2(75) = 150 ft2

Two sides are 5X30 = 2(150) = 300 ft2

Total area to be painted: 900 ft2

(900 ft2)/(250 ft2/gal) = 3.6 gallons

Since we can't purchase .6 gallons we

must purchase 4 gallons of paint

The volume of the pool is 15X30X5 = 2250 ft3

1 ft3 = 7.48 gallons

2250(7.48) = 16,830 gallons of water