3.1. Assume that you have a square piece of sheet steel which you wish to bend up into a square open tray. The sheet is 6 by 6 units in area and the bend lines are x units in from the edge as shown in the diagram below,

Solve for x to make a tray having the maximum volume, using differential calculus and a standard optimisation method.

Transcribed Image Text:

6 Units x 4 Corners cut out x 6 Units