Answered

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

Sagot :

Answer: 30

Step-by-step explanation:

Given

Polyhedron has (E)58 edges

It has same number of faces and vertices

Using Euler's formula

[tex]\Rightarrow V-E+F=2[/tex]

where

V=no of vertices

E=no of edges

F=no of edges

Suppose there are x faces

Insert the values

[tex]\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30[/tex]

Thus, polyhedron has 30 faces.

ledgred07

Answer:

30

Step-by-step explanation:

View image ledgred07
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