All SAT II Math I Resources
Example Questions
Example Question #1 : Faces, Face Area, And Vertices
How many vertices does a polyhedron with twenty faces and thirty edges have?
Possible Answers:
Correct answer:
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.
Example Question #2 : Faces, Face Area, And Vertices
How many edges does a polyhedron with nine vertices and eleven faces have?
Possible Answers:
Correct answer:
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.
All SAT II Math I Resources
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