Mock AIME II 2012 Problems/Problem 13
Revision as of 03:21, 5 April 2012 by Testingtesting (talk | contribs) (Created page with "==Problem== Regular octahedron <math>ABCDEF</math> (such that points <math>B</math>, <math>C</math>, <math>D</math>, and <math>E</math> are coplanar and form the vertices of a s...")
Problem
Regular octahedron 
(such that points 
, 
, 
, and 
are coplanar and form the vertices of a square) is divided along plane 
, parallel to line 
, into two polyhedra of equal volume. The cosine of the acute angle plane makes with plane 
is 
. Given that 
, find the area of the cross section made by plane with octahedron .
Solution
There is currently no solution to this problem. If you discover one, please update this to the solution. You can check your answers with the answer key provided on the Mock AIME II 2012 Page.
