The problem of the week is a regular instalment here at the geometry forum. Each weekend a high-school level geometry problem will be posted (though levels may be different in the summer), and the following weekend a summary of solutions will be posted.
Please do not post solutions to the problem of the week; instead mail you answer along with as detailed a description of your method as necessary/possible to email@example.com. Solutions should be received by midnight Friday so they can be combined and posted over the weekend.
Problem of the Week 7/19 - 7/23 1993
You have several cubes and three colors of paint: red, yellow, and blue. How many distinct cubes can you paint, if you must use each color on each cube at least once? (This does not involve combining blue and yellow to make green, etc., though that is an interesting topic for further discussion.)
Again, DO NOT POST SOLUTIONS. Mail them to firstname.lastname@example.org by Friday.