A polyhedron has 8 faces and 18 edges, find the number of vertices. – InterviewSolution

InterviewSolution

1.

A polyhedron has 8 faces and 18 edges, find the number of vertices.

Answer»

Euler's Theorem for polyhedra: F + V - 2 = E

where

F = # of facesV = # of verticesE = # of edges

==> V = E + 2 - F = 18 + 2 - 8 = 12 vertices

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