Question

How many edges can a polyhedron have if it has 5 faces and 6 vertices ?​

Answer 1

Answer:

9 Edges,

This prism has: 5 Faces. 6 Vertices (corner points) 9 Edges.

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Answer 2

Step-by-step explanation:

A polyhedron with 5 faces and 6 vertices can have **9 edges**.

This can be determined using Euler's formula, which states that for a polyhedron with **F** faces, **V** vertices, and **E** edges, the following equation holds:

```

F + V - E = 2

```

In this case, we have F = 5, V = 6, and E = **?**. Substituting these values into the equation, we get:

```

5 + 6 - E = 2

```

```

E = 5 + 6 - 2

```

```

E = 9

```

Therefore, a polyhedron with 5 faces and 6 vertices can have 9 edges.