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

calculus  Damon, Friday, July 9, 2010 at 8:28am
base area = (w14)(w14)
h = 7
volume = 7 (w14)^2 = 16128
w^228w+196 = 2304
w^2  28 w  2108 = 0
(w62)(w+34) = 0
w = 62

calculus  Reiny, Friday, July 9, 2010 at 8:29am
side of base = x14
height = 7
solve
7(x14)^2 = 16128
(x14)^2 = 2304
I will let you finish it.
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