Please solve the following question:

If a cube is cut into finite number of smaller cubes, prove that at least two of them must be of same size.

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- May 29th 2006, 07:53 PM #1

- May 29th 2006, 08:11 PM #2

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- May 29th 2006, 08:32 PM #3

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- May 29th 2006, 08:33 PM #4

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- May 29th 2006, 09:13 PM #5

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Originally Posted by**ThePerfectHacker**

means that if two of the smaller cubes were adjacent before disassembly

of the big cube then the sum of their sides must be <=6 otherwise they

cannot have fitted into the cube of side 6.

RonL

- May 30th 2006, 02:58 PM #6

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- May 30th 2006, 03:12 PM #7

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- May 30th 2006, 06:14 PM #8

- May 30th 2006, 07:41 PM #9

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- May 30th 2006, 10:26 PM #10

- May 31st 2006, 02:41 PM #11

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- May 31st 2006, 05:49 PM #12