https://file.aiquickdraw.com/mathbot/file/172809280501986an008e.jpg

The solid depicted in the image is a polyhedron. It appears to be a **triangular prism**, as it has two triangular bases and three rectangular lateral faces.

Here are the details:

- **Bases**: The two triangular faces \( \triangle PQR \) and \( \triangle STU \) are the bases of the triangular prism.
- **Faces**: The prism has 5 faces in total – 2 triangular bases (as mentioned above) and 3 rectangular faces (\( PRST \), \( RQUT \), and \( PQSU \)).
- **Edges**: There are 9 edges: \( PQ \), \( PR \), \( QR \), \( ST \), \( SU \), \( TU \), \( PS \), \( RT \), and \( QU \).
- **Vertices**: The polyhedron has 6 vertices: \( P \), \( Q \), \( R \), \( S \), \( T \), and \( U \).

Would you like more details or have any questions?

Here are 5 related questions for further learning:
1. How would you calculate the surface area of this triangular prism?
2. What is the formula for the volume of a triangular prism?
3. How can you distinguish between a prism and a pyramid?
4. How does the number of faces, edges, and vertices change for different prisms?
5. What are the key characteristics that define a polyhedron?

**Tip**: To check whether a solid is a polyhedron, ensure that all faces are flat polygons, and there are no curved surfaces.

Determine whether each solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices.

Learn how to identify a triangular prism and its characteristics. This problem explains the bases, faces, edges, and vertices of a triangular prism. Suitable for students in Grades 7-9 studying polyhedrons and three-dimensional shapes.

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