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Question
In a solid if F = V = 5, then the number of edges in this shape is ______.
Options
6
4
8
2
Solution
In a solid if F = V = 5, then the number of edges in this shape is 8.
Explanation:
Euler's formula for any polyhedron is F + V – R = 2
Given, F = V = 5
On putting the values of F and V in the Euler's formula, we get
5 + 5 – E = 2
⇒ 10 – E = 2
⇒ E = 8
Notes
F = Faces, V = Verticles and E = Edges
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