SAT II Math II : Other 3-Dimensional Geometry

Study concepts, example questions & explanations for SAT II Math II

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Example Questions

Example Question #1 : Other 3 Dimensional Geometry

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

Possible Answers:

Correct answer:

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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