If a polyhedron has 6 faces and 8 vertices, then it has ___ edges.

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Solution

The correct option is D
12

Given Vertices (V) = 8 ,Faces (F) = 6 , Let the number of edges be E

V+F-E = 2 ( Euler's formula)

Hence 8 + 6 - E = 2

14 - E = 2

-E = -12

E = 12

Hence If a polyhedron has 6 faces and 8 vertices, then it has 12 edges

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