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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 solution.... | Comment 13 of 17 |
Let ABCD be the bottom face & EFGH be the top face of the cube.(edges of the other faces are AE,BF,CG,DH).   Let P be the mid point of BF & Q be the mid point of DH.   Now APGQ forms a square.  side of this new square=AP= sqrt(AB*AB+BP*BP)= sqrt(1*1+0.5*0.5)=sqrt(1.25).


  Posted by suman on 2005-01-29 19:52:33
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