Math
posted by Isaiah
A box with an open top is to be constructed by cutting ainch 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 32 in^3, when a = 2?
width in
length in

Steve
If the original
width is x
length is 2x
With a=2, our new box has volume
(a)(x2a)(2x2a) = 32
2(x4)(2x4) = 32
2(x4)(2x4)  32 = 0
4x(x6) = 0
x = 6
So a sheet 6x12 will be cut to a box
2x2x8 with volume = 32
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