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posted by Sara on Friday, July 9, 2010 at 3:12am.

A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and folding up the sides. The box is to hold 16128 in3. How big a piece of cardboard is needed? ?in by ?in

base area = (w-14)(w-14) h = 7 volume = 7 (w-14)^2 = 16128 w^2-28w+196 = 2304 w^2 - 28 w - 2108 = 0 (w-62)(w+34) = 0 w = 62

side of base = x-14 height = 7 solve 7(x-14)^2 = 16128 (x-14)^2 = 2304 I will let you finish it.

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