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Q.

If a polyhedron has 14 vertices, 8 faces, then find the number of edges of the polyhedron.


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a

15

b

10

c

20

d

30 

answer is C.

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Detailed Solution

Given that,
Number of faces = 8
Number of vertices = 14.
We know Euler’s formula for Polyhedron is,
F + V = E + 2
Where F is the number of faces, V denotes the number of vertices, and E denotes the number of edges.
Here,
F = Number of faces = 8
V = Number of vertices = 14
We need to find the number of edges.
According to Euler’s formula, we get
F + V = E + 2
⇒ 8 + 14 = E + 2
⇒ E + 2 = 22
⇒ E = 20
The number of edges = 20.
The correct option is (3).
 
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