There is a big pile of boxes that each measure 1 × 1 × 1. Jesse uses all of the boxes to make the rectangular figure shown below, which measures 4 × 5 × 6. Then Aram takes all of the boxes from one side of the figure. Then Sandy takes all of the boxes from one side of the remaining figure. Finally, Wyatt takes all of the boxes from one side of the remaining figure. (Assume that "side" in this problem refers to any of the six faces of the rectangular figure.) How many boxes did they take (in total) if they took the least number of boxes possible?
