perplexus.info :: Shapes : The Sum of Three Cubes

The Sum of Three Cubes (Posted on 2005-12-20)

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.

See The Solution Submitted by Brian Smith

Rating: 2.0000 (2 votes)

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Solution

| Comment 1 of 2

Here is the solution....

Pieces 1-3 are formed from the 3x3x3 cube.
Pieces 4-6 are formed from the 4x4x4 cube.
Pieces 7-9 are formed from the 5x5x5 cube.

111333
111777
111444
222444
222444
222444

111883
118877
888944
889944
899944
999944

888885
888855
888966
889966
899966
999966

*Note that the top four layers are all identical

Posted by anonymous user on 2005-12-21 17:25:01

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