SOLUTION: Help! Son starting geometry and I'm not remembering.... Here's his problem: Carlos wants to build a rectangular hot tub that is 4 ft. high and holds 1000 ft3 of water. What cou

Algebra ->  Algebra  -> Formulas -> SOLUTION: Help! Son starting geometry and I'm not remembering.... Here's his problem: Carlos wants to build a rectangular hot tub that is 4 ft. high and holds 1000 ft3 of water. What cou      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 10585: Help! Son starting geometry and I'm not remembering.... Here's his problem:
Carlos wants to build a rectangular hot tub that is 4 ft. high and holds 1000 ft3 of water. What could the dimensions of the base of Carlos' hot tub be?
Any help appreciated. Thanks
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
Is it a square base?? If not, then the answer cannot be uniquely determined.

V= LWH, where H=4 feet
1000 = 4 LW

Solve for LW by dividing both sides by 4, so
LW = 250.

The length times width must be such that the product of these is 250. If it is a square base, then +x%5E2+=+250, so x+=+sqrt%28250%29 or approximately 15 or 16 feet.

If the dimensions are to come out an even number of feet, the next number less than 15 that divides evenly into 250 is 10, which would be 10 feet by 25 feet. There are many other possibilities. Whatever, it's a BIG tub!!

R^2 at SCC