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Use Euler's formula to find the missing number. Vertices: 14 Edges: 36 Faces:?

User Swagat
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2 Answers

2 votes

Answer:Faces : 24

Explanation:

Given: Vertices: 14

Edges: 36

We know that the Euler's formula is given by:


V - E + F = 2, where V is the number of vertices , E is the number of edges and F is the number of faces in a polyhedron.

Put V=14 and E=36 in the equation, we get


14-36+F=2\\\\\Rightarrow-22+F=2\\\\\Rightarrow\ F=22+2\\\\\Rightarrow\ F=24

User Irynabond
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8.1k points
4 votes
Euler`s polyhedron formula is:
V - E + F = 2
where V is the number of vertices, E is the number of edges and F is the number of faces.
V = 14, E = 36
14 - 36 + F = 2
F = 36 + 2 - 14
F = 24
Answer: There are 24 Faces.
User Aygul
by
8.5k points
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