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

Question

asked Apr 2, 2022 89.7k views

2 Answers

Harriette · Answer 1 · 2022-04-08T01:12:06+0000

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.