You and your friend Roger are in charge of a soda packaging line. The sodas arrive on a pallet that is shaped like a cube. The two of you must take sodas from the pallet and fill four-pack holders (these are fancy sodas!).
Since the two of your are in complete control of the operation, you may request a pallet of any size, as long as the pallet is still a cube (e.g. 3 sodas wide, 3 sodas long, 3 sodas high). You and Roger are also clever though, and you would like something to drink when you are done packing the pallet.
The Question: What size pallet should you request so that, when you and Roger are finished packing the sodas from the pallet, you have exactly one soda a piece leftover to drink for yourselves?