Question 586449: An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the square cut from each corner, x.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides.
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dimensions are 19-2x , 19-2x, and x
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Express the volume of the box, V, as a function of the length of the side of the square cut from each corner, x.
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V = (19-2x)^2*x
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V = (361 - 78x + 4x^2)x
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V = 4x^3-78x^2+361x
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Cheers,
Stan H.
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