SOLUTION: An aquarium is 32 inches long, 15 inches wide and 24 inches high. the volume of water in the aquarium is 10,560 cubic inches. How deep is the water? I know the formula for vol

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: An aquarium is 32 inches long, 15 inches wide and 24 inches high. the volume of water in the aquarium is 10,560 cubic inches. How deep is the water? I know the formula for vol      Log On

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Question 8538: An aquarium is 32 inches long, 15 inches wide and 24 inches high. the volume of water in the aquarium is 10,560 cubic inches. How deep is the water?
I know the formula for volume V=lwh but how do I set up and solve this problem?

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is based upon the dimensions of the WATER, not the acquarium. The unknown is the depth of the water, so the equation is

lwh = Volume
(32)(15)(h)= 10560, where you must solve for the height h.
480h = 10560

Divide both sides by 480:
480h%2F480+=+10560%2F480
h = 22 inches deep

Now just make sure that the water (22 inches) is not deeper than the acquarium (24 inches). Otherwise you have a BIG problem!!

R^2 at SCC