In a polyhedron, number of faces is 5 and number of edges is 9. Find t – InterviewSolution

1.

In a polyhedron, number of faces is 5 and number of edges is 9. Find the number of vertices.

Answer»

Number of faces (F) = 5
Number of Edges (E) = 9
Number of Vertices (V) = ?

We know by Euler’s formula
F + V = E + 2
5 + V = 9 + 2
5 + V = 11
V = 11 – 5
V = 6
∴Number of vertices = 6

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