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The Sum of Three Cubes (Posted on 2005-12-20) Difficulty: 4 of 5
Given a 3x3x3 cube, a 4x4x4 cube and a 5x5x5 cube, divide each cube into three pieces so that the nine pieces can be put together to make a 6x6x6 cube.

  Submitted by Brian Smith    
Rating: 2.0000 (2 votes)
Solution: (Hide)
3x3x3 cube
One 1x1x3 block (A) and two identical L-shaped blocks (B,C):

4x4x4 cube
One 3x4x4 block (D) and two 1x2x4 blocks (E,F)

5x5x5 cube
One 2x5x5 block (G), one 3x4x5 block (H), and one 1x3x5 block (I)

6x6x6 cube using all nine

                  Top                       Front
       +--+--+--+--+--+--+           +--+--+--+--+--+--+
      /              /  /|          /|           |     |
     /      H       /A / +     Left/ +  +  +  +  +  +  +
    /______________/__/ /|        /  |     D     |   B |
   /           /F /  /|/ +       /   +  +  +  +  +  +  +
  /    D      /__/  / |  |      /|   |           |     |
 /           /     /  |  +     / | D +  +  +  +  +--+--+
+--+--+--+--+--+--+   |  |    +  |   |           |     |
|           |     | B |I +    |  |   +--+--+--+--+  +  +
+  +  +  +  +  +  +   |  |    + H|  /|           |   C |
|     D     |  B  |  /|  +    |  | / +  + E+  +  +  +  +
+  +  +  +  +  +  + / |  |    +  |/|E|           |     |
|           |     |/  |  +    |  / | +--+--+--+--+--+--+
+  +  +  +  +--+--+ C | /     + /  |/___________/__ C /
|           |     |   |/      |/   /              /  /
+--+--+--+--+  +  +   /       + G /              /__/
|           |  C  |  /        |  /      G       /  /
+  + E+  +  +  +  + /Right    + /              / I/
|           |     |/          |/              /  /
+--+--+--+--+--+--+           +--+--+--+--+--+--+
      Front                          Bottom

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Interestingjbcf052007-02-27 18:10:39
SolutionSolutionanonymous user2005-12-21 17:25:01
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