How many edges does a pentagonal prism has ?

Answer

To find out how many edges a pentagonal prism has, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Shape**: A pentagonal prism consists of two pentagonal bases and five rectangular lateral faces connecting the corresponding sides of the pentagons.

2. **Count the Edges of the Pentagonal Bases**: Each pentagon has 5 edges. Since there are two pentagons, we multiply the number of edges in one pentagon by 2:
\[ \text{Edges from two pentagons} = 5 + 5 = 10 \]

3. **Count the Lateral Edges**: The lateral edges are the edges that connect the corresponding vertices of the two pentagonal bases. Since there are 5 vertices in each pentagon, there are also 5 lateral edges:
\[ \text{Lateral edges} = 5 \]

4. **Calculate the Total Number of Edges**: Now, we add the edges from the two pentagons and the lateral edges together:
\[ \text{Total edges} = 10 + 5 = 15 \]

Thus, a pentagonal prism has a total of **15 edges**.