I found a problem with my own Opticube and a way to fix it. In the battery holder, pieces of metal press against the positive and negative terminals of the AA cells. The left rear of these is in three parts connected together by metal touching metal. This contact can go bad. You can disassemble and retention the contacts by pulling out the central plastic fin and then pulling off the battery contacts. Bend the metal to provide more tension, and then reassemble.
You have this problem if, with fresh batteries, you measure zero volts across the two spring contacts that connect to the light assembly.