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 = (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

- calculus -
**Reiny**, Friday, July 9, 2010 at 8:29am
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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