5 15 points set up and evaluate an integral to

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5. (15 points) Set up and evaluate an integral to compute the volume of a pyramid of height h = 12 whose base is a square with side 4 (see picture). (a) Give a formula A ( y ) as a function of y for the area of a cross section parallel to the base at height y above the base.
(b) Give an integral for the volume of this pyramid.
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(c) Evalute the integral and give the volume of this pyramid.
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