Difference between revisions of "2012 AMC 12A Problems/Problem 22"
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Revision as of 18:25, 16 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 ?