Question

Using Euler’s Formula (F + V = E + 2), find the number of edges. Faces: 25 Vertices: 17 Edges: ?

Answer 1

F + V = E + 2
F = 25
V = 17

25 + 17 = E + 2
42 = E + 2
42 - 2 = E
40 = E <== there are 40 edges

Answer 2

This question is based on the concept of Euler’s Formula. Therefore, there are 40 edges.

Given:

Faces: 25 Vertices: 17

We need to determined the number of edges by using the  Euler’s Formula (F + V = E + 2).

According to the question,

It is given that,

Faces: 25

Vertices: 17

By using Euler’s Formula ,

F + V = E + 2

Now put all the given values in the formula.

We get,

25 + 17 = E + 2

42 = E + 2

42 - 2 = E

E = 40

Therefore, there are 40 edges.

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