Help with optimization please :(

Question

anonymous · Answer

It is a question regarding maximizing volume for a box when small equal squares are removed from each corner

mathmale · Answer

Happy to help with that.  You'd get faster responses if you'd just post the question right up front, along with that word, "optimization."

anonymous · Answer

Okay the question is...

Suppose you want to make an open-topped box out of a 4x6 index card by cutting a square out of each corner and then folding up the edges. How large a square should you cut out of each corner in order to maximize the volume of the resulting box?

anonymous · Answer

I tried out a method to solve it but it really didn't work :( I don't know what to do with it

kainui · Answer

|dw:1396931234993:dw| Label this card and make a formula for volume of the box made from it.

anonymous · Answer

|dw:1396931984947:dw|