Faces, Face Area, and Vertices

SAT Subject Test in Math I · Learn by Concept

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SAT Subject Test in Math I › Faces, Face Area, and Vertices

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1

How many vertices does a polyhedron with twenty faces and thirty edges have?

CORRECT

0

0

0

0

Explanation

By Euler's Formula, the relationship between the number of vertices , the number of faces , and the number of edges of a polyhedron is

Set and , and solve for :

The polyhedron has tweve vertices.

2

How many edges does a polyhedron with nine vertices and eleven faces have?

CORRECT

0

0

0

0

Explanation

By Euler's Formula, the relationship between the number of vertices , the number of faces , and the number of edges of a polyhedron is

Set and and solve for :

The polyhedron has eighteen edges.

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