SOLUTION: a box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is formed by cutting squares that measures 4 inches o

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Question 852794: a box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is formed by cutting squares that measures 4 inches on each side from the four corners and then folding up the sides. if the volume of the box will be 112 in.^3, what are the dimensions of the piece of cardboard? W=?, L=?
I know volume is length times width times height, but how do I set this up?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Let me use a different variable.
w for width
y for length

y=w+12 for length
and still w for width

Area for the base: %28w-2%2A4%29%28%28w%2B12%29-2%2A4%29=%28w-8%29%28w%2B4%29
Volume for the box: highlight%284%28w-8%29%28w%2B4%29=112%29
NOW it is setup. Solve for w.