SOLUTION: A) 50 feet by 40 ft basement has 18 inches of water in it. if 1 cubic foot is about 7.48 gallons, how much water will I be pumping out of my basement? b) If you have a pump that

Algebra ->  Volume -> SOLUTION: A) 50 feet by 40 ft basement has 18 inches of water in it. if 1 cubic foot is about 7.48 gallons, how much water will I be pumping out of my basement? b) If you have a pump that      Log On


   



Question 950031: A) 50 feet by 40 ft basement has 18 inches of water in it. if 1 cubic foot is about 7.48 gallons, how much water will I be pumping out of my basement?
b) If you have a pump that can empty 1000 gallons of water per hour, how long will it take to dry out the basement?

Found 2 solutions by addingup, ankor@dixie-net.com:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Volume V=LWH, and in your problem (after converting to inches, remember 1ft=12in):
V= 600*480*18 = 5,184,000 cubic inches of water. Let's convert to feet:
ft³ = in³ * 0.00057870
ft³ = 5,184,000 * 0.00057870in³ = 3,000ft³ of water. And,
7.48052gal = 1ft³. Thus,
3000*7.48052 = 22,441.56gal
If you have a pump that can empty 1,000 gallon/hour:
22,441.56/1000 = 22.44 hours. An hour has 60 minutes, and .44 minutes is 60*.44= 24 minutes and 24 seconds, so your pump would take 22 hours 24 minutes and 24 seconds.
Always beware when using different units of measure. It's easy to get confused. Our math and numbering system is based on 0-9 but our measuring system is based on 1foot=12 inches, and we weigh things in pounds and ounces where 1 pound= 16 ounces, etc.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A) 50 feet by 40 ft basement has 18 inches of water in it.
if 1 cubic foot is about 7.48 gallons, how much water will I be pumping out of my basement?
18" = 1.5 ft
1.5 * 50 * 40 = 3000 cu/ft
convert to gallons
3000%2F7.48 = 401.07 gallons
:
b) If you have a pump that can empty 1000 gallons of water per hour, how long will it take to dry out the basement?
400%2F1000 * 60 = 24 minutes