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2011 AMC 10B Problems/Problem 22

Revision as of 13:31, 27 March 2011 by Mathwarrior557 (talk | contribs) (Created page with '== Problem == A pyramid has a square base with sides of length 1 and has lateral faces that are equilateral triangles. A cube is placed within the pyramid so that one face is th…')
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Problem

A pyramid has a square base with sides of length 1 and has lateral faces that are equilateral triangles. A cube is placed within the pyramid so that one face is the base of the pyramid and its opposite face has all its edges on the lateral faces of the pyramid. What is the volument of the cube?

Solution

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