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Question 288246: A box with an open top is made from a rectangular piece of cardboard by cutting a square out of each corner and folding up the flaps to form the sides of the box. If the original piece of cardboard is 20 cm by 30 cm, and the squares that are removed each have an edge length of x cm, find a formula for the volume of the box.
Thank you very much!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A box with an open top is made from a rectangular piece of cardboard by cutting a square out of each corner and folding up the flaps to form the sides of the box.
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If the original piece of cardboard is 20 cm by 30 cm, and the squares that are removed each have an edge length of x cm, find a formula for the volume of the box.
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base is (20-2x)(30-2x)
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height is x
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Volume = x(600 - 100x + 4x^2)
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Volume = 4x^3 - 100x + 600x
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Cheers,
Stan H.
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