SOLUTION: A box with an open top is to be constructed by cutting a-inch squares from the corners of a rectangular sheet of tin whose length is twice its width. What size sheet will produce a

Question 903510: A box with an open top is to be constructed by cutting a-inch squares from the corners of a rectangular sheet of tin whose length is twice its width. What size sheet will produce a box having a volume of 528 in^3, when a = 3?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
x and y are the original rectangle dimensions; the area for the bottom after cutting the a inch squares is (x-2a)(y-2a). The volume of the box will be
;

"Length is twice its width" for rectangle's dimensions:
If x is length, and y is width, then x=2y, and

Continue solving for y using the general solution to a quadratic formula, and use the y result to get x=2y. That will be for any "a" in general.

Once that is done, you can substitute the a=3 and evaluate that more specific case.
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