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16 November, 15:57

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

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  1. 16 November, 16:18
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    Answer: 9 faces

    Step-by-step 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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