Question

An open box is formedby cutting squares out of a peice of cardboard that is 18 feet by 26 feet and folding up the flaps. What size corner squares should be cut to yield a box that has a volume of 250 cubic feet

Answer 1

If the corners are x on a side, then

v = x(18-2x)(26-2x) = 250
x = 0.6,7.485,13.9
Of these only the two smaller values can be used.