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.