Fiona's pyramid has a base that is a polygon with $n$ sides. Let's break down how we calculate the number of faces, edges, and vertices for a pyramid.

1. Vertices:

   • A polygon with $n$ sides has $n$ vertices.
   • The pyramid has an additional vertex at the top (the apex).
   • So, the total number of vertices is $n + 1$.

2. Edges:

   • The base polygon has $n$ edges.
   • Each vertex of the polygon connects to the apex, giving $n$ more edges.
   • So, the total number of edges is $2n$.

3. Faces:

   • The base is one face, which is the polygon with $n$ sides.
   • There are $n$ triangular faces, each connecting one side of the polygon to the apex.
   • So, the total number of faces is $n + 1$.

Solution:

• Faces: $n + 1$
• Edges: $2n$
• Vertices: $n + 1$

Let me know if you'd like more details, or if you have any questions!

Here are 5 related questions to explore:

1. What is the relationship between vertices, edges, and faces for a general polyhedron?
2. How would the formula for edges change if this were a prism instead of a pyramid?
3. How does Euler’s formula for polyhedra apply to pyramids?
4. What is the formula for the surface area of a pyramid with a regular polygonal base?
5. How can you generalize this for a pyramid where the base is not a regular polygon?

Tip: Remember that each side of a polygon connects to the apex, which helps in counting the total edges of a pyramid.