Which is true for a hexagonal pyramid?

Options

A. It has two hexagonal faces and six rectangular faces
B. It has six hexagonal faces joined by six rectangular faces
C. It has six faces and each face is a hexagon
D. It has a hexagonal base with six triangular faces meeting at a point

Answer

To determine which statement is true for a hexagonal pyramid, we can analyze its structure step by step.

### Step-by-Step Solution:

1. **Understanding the Structure of a Hexagonal Pyramid**:
- A hexagonal pyramid consists of a hexagonal base and triangular faces that connect the base to a single apex (top point).

2. **Identifying the Faces**:
- The base is a hexagon, which has 6 sides.
- There are 6 triangular faces that connect each side of the hexagon to the apex.

3. **Analyzing the Options**:
- **Option 1**: Claims it has two hexagonal faces and six rectangular faces.
- **Evaluation**: This is incorrect because it only has one hexagonal face (the base) and no rectangular faces.
- **Option 2**: Claims it has six hexagonal faces and six rectangular faces.
- **Evaluation**: This is incorrect because it has one hexagonal face and six triangular faces, not rectangular.
- **Option 3**: Claims it has six faces, each face being a hexagon.
- **Evaluation**: This is incorrect because only the base is a hexagon; the other faces are triangles.
- **Option 4**: Claims it has a hexagonal base and six triangular faces that meet at a point.
- **Evaluation**: This is correct as it accurately describes the structure of a hexagonal pyramid.

4. **Conclusion**:
- The correct option is **Option 4**: It has a hexagonal base and six triangular faces that meet at a point.