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Question

What will be the number of edges in a polyhedron if there are 6 faces and 12 vertices?

A
12
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B
14
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C
16
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D
None of these
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Solution

The correct option is C 16
For any polyhedron,
Euler’s formula is,
V - E + F = 2
V : Number of vertices
E : Number of edges
F : Number of faces

V - E + F = 2
E = V + F - 2 = 12 + 6 - 2 =16


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