2011 AMC 10B Problems/Problem 22: Difference between revisions
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== Problem == | == 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 | 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 volume of the cube? | ||
== Solution == | == Solution == | ||
Revision as of 17:49, 24 April 2011
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 volume of the cube?
