This puzzle has been a long time around us as a member of the family of sliding puzzles and is better known as the Klotski puzzle, but I'm going to name it here The Princess in a Box puzzle because is the name that it has in the Professor Layton's game. I did this Flash demo if you want to play it:
The source code is in my repository, if you like that kind of things.
So that's it for now, have fun. I'll solve the puzzle in my next post.