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Volume of a Box A box is constructed by cutting
out square corners of a rectangular piece of cardboard
and folding up the sides. If the cutout corners have
sides with length x, then the volume of the box is given by the polynomial

A box is constructed from a square piece of metal that
is 20 inches on a side.
(a) If the square corners of length x are cut out, write
a polynomial that gives the volume of the box.
(b) Evaluate the polynomial when x=4 inches.
(c) Factor out the greatest common factor for this
polynomial expression

  • algebra -

    well, the best I can see is the base area is (20-2x)^2, height is x

    volume=base area*height

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