Question 710498: I have a piece of cardboard, twice as long as it is wide. I will cut 4x4 squares out of each corner, so I fold up the corners and use it as a tray. The volume of the tray will be 96 cubic inches. How large is the piece of cardboard?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I have a piece of cardboard, twice as long as it is wide. I will cut 4x4 squares out of each corner, so I fold up the corners and use it as a tray. The volume of the tray will be 96 cubic inches. How large is the piece of cardboard?
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length = 2x
width = x
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Volume = 4(2x-8)(x-8) = 96
2x^2 -24x + 64 = 24
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2x^2 -24x + 40 = 0
x^2 -12x + 20 = 0
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Factor:
(x-10)(x-2) = 0
Usable answer:
x = 10 inches (width)
2x = 20 inches (length)
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Size of the cardboard: 10*20 = 200 sq. inches
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Cheers,
Stan H.
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