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A Square Problem (Posted on 2004-12-26) Difficulty: 4 of 5
Given a unit cube, what is the largest square that can be placed completely inside the cube?

No Solution Yet Submitted by SilverKnight    
Rating: 4.0000 (5 votes)

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Solution Suggestion for placement | Comment 12 of 17 |
If I understand the problem correctly, then the largest square to fit in a unit cube is √2.units and to be placed on the opposing two diagonals of two sides of the cube. Thus splitting the cube into to equal three dimensional triangles.
  Posted by chris on 2005-01-10 00:54:26
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