Given a unit cube, what is the largest square that can be placed completely inside the cube?

(In reply to solution.... by suman)

Ha, ha!  Same solution I thought of!  So I tried to prove suman right.  I failed because suman's solution is a RHOMBUS, not a square!  One diagonal of suman's "square" is sqrt(1^2+1^2+1^2)=sqrt(3) and the other diagonal is only sqrt(1^2+1^2)=sqrt(2)!

Posted by McWorter on 2005-03-05 18:29:36