SOLUTION: A one compartment vertical file is to be constructed by bending the long side of an 8 inch by 20 inch sheet of plastic along two lines to form a U shape. How tall should the file b

Question 414015: A one compartment vertical file is to be constructed by bending the long side of an 8 inch by 20 inch sheet of plastic along two lines to form a U shape. How tall should the file be to maximize the volume that it can hold?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

The answer you want is . Since the short side is , that's going to stay the so you really don't have to worry about that.
The side thats " is going to be made into sides, so you only have to figure out the maximum area for the side that's ".
So you want to break into parts, which when multiplied together give you the largest product.
one part is and two other could be both
In this case you just use , which will give the file a total of around .
. How tall should the file be to maximize the volume that it can hold:
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