If I understand the prolem well, you can fold the sheet in two ways, but only one will give the maximum volume.

orCode:____________ | | x |__________| | | y |__________| 8 | | x |__________| 14

To maximise volume in each case, the height is x and the width y.Code:____________ | | | | | | | | 8 | | | | |___|___|___| x y x 14

In the first case, 2x + y = 8

V = 14xy

In the second case, 2x + y = 14

V = 8xy

Look for the one with maximum volume!