Note: Apparently, some of the links for the supplies and code aren't working, if you need them send me a message with your email and I will send them to you.
You can find a video of the working LED cube on youtube here:
And here's another:
Step 1: Supplies
-30x 150 Ohm resistors
-5x 3-8 Line Decoders
-5 NPN Transistors
The manufacturer numbers and prices can be found in the attached document though the cost was about $40.
Additional required materials:
-Sturdy wire (for structure of cube)
-sockets (for decoders)