SOLUTION: An open box is to be constructed from a a square piece of metal by removing a square of side 1 foot from each corner and turning up the edges. if the box is to hold 4 cubic feet wh

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Question 1014426: An open box is to be constructed from a a square piece of metal by removing a square of side 1 foot from each corner and turning up the edges. if the box is to hold 4 cubic feet what should be the dimensions for the sheet metal?
I know that the dimensions for that would be 4x4. What if the metal is a rectangle whose length is twice its width?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Height will be 1 foot.
L for length, w for width, L=2w.
Volume equation is 1%2A%28L-2%2A1%29%28w-2%2A1%29=4.

Simplify and make the substitution,
%282w-2%29%28w-2%29=4
%28w-1%29%28w-2%29=2
w%5E2-3w%2B2=2
w%5E2-3w=0
w%28w-3%29=0

highlight%28w=3%29
highlight%28L=6%29