Question

If a Polyhedron had 58 edges and the same Number of faces as its Vertices , How many faces does it have?

Answer 1

30

Explanation:

Answer 2

Answer: 30

Explanation:

Given

Polyhedron has (E)58 edges

It has same number of faces and vertices

Using Euler's formula

`\Rightarrow V-E+F=2`

where

V=no of vertices

E=no of edges

F=no of edges

Suppose there are x faces

Insert the values

`\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30`

Thus, polyhedron has 30 faces.