What size (square) corners should be cut from a rectangular piece of cardboard 12 by 18 inches in order to maximize the volume of the resulting box when folded up?
What size (square) corners should be cut from a rectangular piece of cardboard 12 by 18 inches in order to maximize the volume of the resulting box when folded up?
Let side of square=x When folded up box will be of length 18-2x, width 12-2x and depth x So V =x(18-2x)(12-2x)
Multiply out, differentiate and put dV/dx=0