Difference between revisions of "2012 AMC 12A Problems/Problem 22"
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Revision as of 13:03, 17 February 2012
Problem
Distinct planes 
intersect the interior of a cube 
. Let 
be the union of the faces of and let 
. The intersection of 
and consists of the union of all segments joining the midpoints of every pair of edges belonging to the same face of . What is the difference between the maximum and minimum possible values of 
?
