https://file.aiquickdraw.com/mathbot/file/1730047511159e6em3jvh.jpg

Let's analyze each polyhedron shown in the image and determine its name, number of vertices, edges, and faces.

### 1. First Polyhedron
- **Shape**: The first shape is a **tetrahedron**.
- **Vertices**: 4
- **Edges**: 6
- **Faces**: 4
- **Name of Polyhedron**: Tetrahedron

### 2. Second Polyhedron
- **Shape**: The second shape resembles a **triangular prism**.
- **Vertices**: 6
- **Edges**: 9
- **Faces**: 5
- **Name of Polyhedron**: Triangular Prism

### 3. Third Polyhedron
- **Shape**: The third shape resembles a **cube**.
- **Vertices**: 8
- **Edges**: 12
- **Faces**: 6
- **Name of Polyhedron**: Cube

If you have any questions or need further details on these polyhedrons, feel free to ask!

Here are some related questions:
1. What is Euler's formula, and how does it relate to polyhedrons?
2. How are the vertices, edges, and faces of a tetrahedron, prism, and cube different?
3. Are there other common polyhedrons with different properties?
4. What distinguishes a prism from a pyramid in terms of structure?
5. Can Euler's formula be used to verify the characteristics of these polyhedrons?

**Tip:** Remember, Euler's formula states that \( V - E + F = 2 \) for convex polyhedrons, where \( V \) is vertices, \( E \) is edges, and \( F \) is faces. This can help verify your calculations.

Find the name and number of vertices, edges, and faces for each of the following polyhedrons shown in the image.

Learn how to identify the number of vertices, edges, and faces in common polyhedrons such as the tetrahedron, triangular prism, and cube. This geometry problem helps students understand the structure of polyhedrons and apply Euler's formula for verification. Suitable for students in Grades 6-8.

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