Faces, Edges and Vertices of 3D Shapes Worksheet - Free Printable

To solve the problem of identifying the faces, edges, and vertices of each 3D shape in the image, we will analyze each shape step by step. Here's the breakdown:

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1. Cone

- Name: Cone
- Faces: A cone has 2 faces — one curved face and one flat circular face.
- Edges: A cone has 1 edge where the curved surface meets the flat base.
- Vertices: A cone has 1 vertex (the pointed top).

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2. Cube

- Name: Cube
- Faces: A cube has 6 faces (all square).
- Edges: A cube has 12 edges.
- Vertices: A cube has 8 vertices.

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3. Rectangular Prism

- Name: Rectangular Prism
- Faces: A rectangular prism has 6 faces (all rectangular).
- Edges: A rectangular prism has 12 edges.
- Vertices: A rectangular prism has 8 vertices.

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4. Tetrahedron

- Name: Tetrahedron
- Faces: A tetrahedron has 4 faces (all triangular).
- Edges: A tetrahedron has 6 edges.
- Vertices: A tetrahedron has 4 vertices.

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5. Sphere

- Name: Sphere
- Faces: A sphere has 0 faces (it is a perfectly round surface with no flat surfaces).
- Edges: A sphere has 0 edges.
- Vertices: A sphere has 0 vertices.

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6. Triangular Prism

- Name: Triangular Prism
- Faces: A triangular prism has 5 faces — two triangular faces and three rectangular faces.
- Edges: A triangular prism has 9 edges.
- Vertices: A triangular prism has 6 vertices.

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7. Octahedron

- Name: Octahedron
- Faces: An octahedron has 8 faces (all triangular).
- Edges: An octahedron has 12 edges.
- Vertices: An octahedron has 6 vertices.

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8. Cylinder

- Name: Cylinder
- Faces: A cylinder has 3 faces — two flat circular faces and one curved surface.
- Edges: A cylinder has 2 edges (where the curved surface meets the flat bases).
- Vertices: A cylinder has 0 vertices.

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Final Answer Summary

| Shape | Name | Faces | Edges | Vertices |
|------------------|--------------|-------|-------|----------|
| Cone | Cone | 2 | 1 | 1 |
| Cube | Cube | 6 | 12 | 8 |
| Rectangular Prism| Rectangular Prism | 6 | 12 | 8 |
| Tetrahedron | Tetrahedron | 4 | 6 | 4 |
| Sphere | Sphere | 0 | 0 | 0 |
| Triangular Prism | Triangular Prism | 5 | 9 | 6 |
| Octahedron | Octahedron | 8 | 12 | 6 |
| Cylinder | Cylinder | 3 | 2 | 0 |

$$
\boxed{
\begin{array}{|c|c|c|c|c|}
\hline
\text{Shape} & \text{Name} & \text{Faces} & \text{Edges} & \text{Vertices} \\
\hline
\text{Cone} & \text{Cone} & 2 & 1 & 1 \\
\text{Cube} & \text{Cube} & 6 & 12 & 8 \\
\text{Rectangular Prism} & \text{Rectangular Prism} & 6 & 12 & 8 \\
\text{Tetrahedron} & \text{Tetrahedron} & 4 & 6 & 4 \\
\text{Sphere} & \text{Sphere} & 0 & 0 & 0 \\
\text{Triangular Prism} & \text{Triangular Prism} & 5 & 9 & 6 \\
\text{Octahedron} & \text{Octahedron} & 8 & 12 & 6 \\
\text{Cylinder} & \text{Cylinder} & 3 & 2 & 0 \\
\hline
\end{array}
}
$$