A triangular prism and a square pyramid have what in common?
O They both have 5 faces.
O They both have 6 vertices.
O They both have 8 edges.
O They both have a triangular base.



Answer :

To determine what a triangular prism and a square pyramid have in common, let's examine the properties of each shape.

### Triangular Prism
- Faces: A triangular prism has 5 faces (2 triangular faces and 3 rectangular faces).
- Vertices: A triangular prism has 6 vertices.
- Edges: A triangular prism has 9 edges.
- Base Shape: A triangular prism has triangular bases.

### Square Pyramid
- Faces: A square pyramid has 5 faces (1 square base and 4 triangular faces).
- Vertices: A square pyramid has 5 vertices.
- Edges: A square pyramid has 8 edges.
- Base Shape: A square pyramid has a square base.

Let's consider each option:

1. They both have 5 faces.
- Triangular Prism: 5 faces
- Square Pyramid: 5 faces
- This statement is true.

2. They both have 6 vertices.
- Triangular Prism: 6 vertices
- Square Pyramid: 5 vertices
- This statement is false.

3. They both have 8 edges.
- Triangular Prism: 9 edges
- Square Pyramid: 8 edges
- This statement is false.

4. They both have a triangular base.
- Triangular Prism: Triangular bases
- Square Pyramid: Square base
- This statement is false.

Therefore, the correct answer is:
They both have 5 faces.

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