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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.

A. V(x) = 361x
B. V(x) = (19 - 2x)2
C. V(x) = x(19 - 2x)
D. V(x) = x(19 - 2x)2

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1 answer

  1. new length and width = 19-2x

    area of base = (19-2x)^2
    height = x
    so
    V = x (19-2x)^2

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