Problem:

From a square of tin that measures 12inches on a side of a rectangular box is made by cutting out a small squares of the same size from the four corners and turning up the sides. If the volume of the box is 108 cubic inches ,what should be the length of the side of the square to be cut out?

1 answer

v = x * (12-2x)(12-2x) =108
4 x^3 - 48 x^2 +144 x - 108 = 0
try x = 3