How can a cube be cut into 20 cubes (not necessarily the same size)?

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- September 3rd 2010, 08:26 PMloutja35Cube Question
How can a cube be cut into 20 cubes (not necessarily the same size)?

- September 4th 2010, 12:41 AMOpalg
A Rubik's Cube consists of 27 smaller cubes. What happens if you glue 8 of those together to form a 2x2x2 cube?

- September 5th 2010, 08:52 AMloutja35
Thanks for your time, but I still do not understand your process behind this. How would you corrolate it to a 20 smaller cubes?

- September 5th 2010, 09:21 AMsa-ri-ga-ma
Out of 27 cubes remove 19 cubes. 8 cubes left out. Glue them together to form a cube of 2x2x2.

So the total number is 19 + 1 = 20. - September 5th 2010, 12:00 PMWilmer
With Rubik's, you can also get 6 cubes: 8,8,8,1,1,1

and 13 cubes: 8,8,1,1,1,1,1,1,1,1,1,1,1

You can easily "make up" these questions; like:

"How can a cube be cut into 5 cubes (not necessarily the same size)?"

First, divide the cube in 64 smaller cubes;

stick 27 together twice, 8 together once; you have: 27,27,8,1,1