Quote:

Originally Posted by

**TheTuanster**
1. An open box is to be made from a rectangular piece of material by cutting equal squares from each corner and turning up the sides. Find the dimensions of the box of maximum volume if the material has dimensions 6x6 inches.

2. An open box is to be constructed from cardboard by cutting out squares of equal size in the corners and then folding up the sides. If the cardboard is 6x11 inches, determine the volume of the largest box which can be constructed.

I absolutely have no idea where to start.

Always start this kind of problem by setting up a formula to work with.

For #1, the volume of the resulting cube is going to be (6-2x)^3 where x is the length of the cutout in inches. Work from there.

Edit: Actually that equation is completely wrong. Gimme a sec.