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 #1 : 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.
Sumit
Certified Tutor
Certified Tutor
Calcutta University, Bachelor of Science, Mathematics. Indian Statistical Institute, Master of Science, Mathematics.
All SAT II Math I Resources
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