A pentagonal prism has 10 vertices.
A pentagonal prism is a three-dimensional geometric shape with two pentagonal bases and five rectangular sides. To understand why it has 10 vertices, consider the following:
- Each pentagon has 5 vertices. A vertex is a corner where edges meet.
- A pentagonal prism has two pentagonal bases. Therefore, it has 2 * 5 = 10 vertices.
Here's a table summarizing the properties of a pentagonal prism:
| Feature | Value |
|---|---|
| Vertices | 10 |
| Edges | 15 |
| Faces | 7 |
Therefore, a pentagonal prism consists of two pentagonal faces and five rectangular faces, totaling 7 faces, 15 edges, and, most importantly, 10 vertices.
