Remember Square Divisions? This problem demonstrates the deconstruction of a square into smaller squares with integer-length sides.

Given a cube with edge length 60, can you find a deconstruction of the cube into smaller cubes (none of which are alike) with integer length sides (or prove it can't be done)?

If it is possible to solve

The volume of small cuThe volume of 60 unite cube is 216 000

The volume of cubes from 1-30 = 216 225

The max volume of cubes until 31 = 219 016

If any bigger cube is used, the max volume is less than 216 000, therefore either a 31 or a 30 unit cube must be in the final solution.

 

However I wonder if there is any...

Posted by Detti on 2004-10-08 12:10:44