How many edges are in triangular prism ?

Options

A. 5
B. 6
C. 8
D. 9

Answer

To determine how many edges are in a triangular prism, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Structure of a Triangular Prism**:
A triangular prism consists of two triangular bases and three rectangular lateral faces connecting the corresponding sides of the triangles.

2. **Count the Edges of the Triangular Bases**:
Each triangular base has 3 edges. Since there are two triangular bases, the total number of edges from the bases is:
\[ 3 \text{ (edges of the first triangle)} + 3 \text{ (edges of the second triangle)} = 6 \text{ edges} \]

3. **Count the Edges Connecting the Two Bases**:
There are 3 edges that connect the corresponding vertices of the two triangular bases. Each vertex of the top triangle connects to the corresponding vertex of the bottom triangle.

4. **Calculate the Total Number of Edges**:
Now, add the edges from the triangular bases and the connecting edges:
\[ 6 \text{ (from the bases)} + 3 \text{ (connecting edges)} = 9 \text{ edges} \]

5. **Conclusion**:
Therefore, a triangular prism has a total of 9 edges.

### Final Answer:
A triangular prism has **9 edges**.

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