An anonymous benefactor has offered to give golden pebbles to the students in school. The anonymous benefactor has 2 conditions. 1. Students must receive the golden pebbles in an open top box made by the student.
2. The open top box must be made out of paper measuring 14 x 11

Your goal is to receive as much golden pebbles as possible. Consider how the volume V(x) in cubic inches of the open-top box is a function of the side length x in inches of the square cutouts.

What would be your plan to figure out how to construct the box with the largest volume. Explain your strategy and/or show your reasoning.