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Question

For a polyhedron having 5 faces and 3 vertices, find the number of edges.


A

6

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B

4

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C

3

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D

cannot be determined

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Solution

The correct option is A

6


For any polyhedron,

F + V - E = 2

where F stands for number of faces, V stands for number of vertices and E stands for number of edges.

This relationship is called Euler's formula.

So, for F = 5, V = 3 we get E = 6.


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