Other 3-Dimensional Geometry

SAT Subject Test in Math II · Learn by Concept

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SAT Subject Test in Math II › Other 3-Dimensional Geometry

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A convex polyhedron has twenty faces and thirty-six vertices. How many edges does it have?

CORRECT

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Explanation

The number of vertices , edges , and faces of any convex polyhedron are related by By Euler's Formula:

Setting and solving for :

The polyhedron has 54 edges.

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