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A polyhedron has 9 vertices and 16 edges. How many faces does it have?

1 Answer

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Answer: 9 faces

Explanation:

In geometry, we use Euler's formula, and it looks like this:

V − E + F = 2

where

V= the number of vertices of a polyhedron

E= the number of edges of a polyhedron

F= the number of faces of a polyhedron.

V = 9

E = 16

F = ?

V − E + F = 2

9 - 16 + F = 2

F = 2 + 16 - 9

F = 9

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