Question

In a polyhedron F=17, V=30 then E is ​

Answer 1

Given, in a polyhedron:

The number of faces (F) = 17 and the number of vertices (V) = 30

We have, to find the value of the number if edges(E).

Solution:

We know that:

Euler's Formula:

V - E + F = 2

⇒ E = V + F - 2

∴ E = 30 + 17 - 2

⇒ E = 47 - 2

⇒ E = 45

∴ The number of edges(E) = 45

Thus, the number of edges(E) is "equal to 45".

Answer 2

Given :  a polyhedron F=17, V=30

To Find :  E  

Solution:

F = Faces

V = vertex

E = Edges

Euler formula for faces

= Edges - Vertex + 2

=> F = E - V + 2

F = 17

E = ?

V = 30

=> 17 = E  - 30 + 2

=> 17 = E - 28

=> 45 = E

=> E = 45

Hence E is 45

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