Educational worksheet for identifying 3D shapes and their properties.

Problem Overview:

The task is to identify each 3D shape in the image and determine the number of faces, vertices, and edges for each shape. Let's solve this step by step.

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Step 1: Identify Each 3D Shape

We will analyze each shape one by one:

#### Shape 1:
- Description: A cube.
- Name: Cube
- Faces: A cube has 6 square faces.
- Vertices: A cube has 8 vertices (corners).
- Edges: A cube has 12 edges.

#### Shape 2:
- Description: A triangular pyramid (tetrahedron).
- Name: Tetrahedron
- Faces: A tetrahedron has 4 triangular faces.
- Vertices: A tetrahedron has 4 vertices.
- Edges: A tetrahedron has 6 edges.

#### Shape 3:
- Description: A cone.
- Name: Cone
- Faces: A cone has 2 faces – a circular base and a curved surface (which is not considered a flat face in traditional geometry). So, we typically say it has 1 flat face.
- Vertices: A cone has 1 vertex (the tip).
- Edges: A cone has 1 edge (the circular edge of the base).

#### Shape 4:
- Description: A rectangular prism (cuboid).
- Name: Rectangular Prism
- Faces: A rectangular prism has 6 faces (all rectangles).
- Vertices: A rectangular prism has 8 vertices.
- Edges: A rectangular prism has 12 edges.

#### Shape 5:
- Description: A sphere.
- Name: Sphere
- Faces: A sphere has no flat faces.
- Vertices: A sphere has no vertices.
- Edges: A sphere has no edges.

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Step 2: Fill in the Table

Now, let's fill in the table with the information we have gathered:

| Shape Image | Name | Faces | Edges | Vertices |
|-------------|--------------|-------|-------|----------|
| Cube | Cube | 6 | 12 | 8 |
| Tetrahedron | Tetrahedron | 4 | 6 | 4 |
| Cone | Cone | 1 | 1 | 1 |
| Rectangular Prism | Rectangular Prism | 6 | 12 | 8 |
| Sphere | Sphere | 0 | 0 | 0 |

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Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|c|c|}
\hline
\text{Shape Image} & \text{Name} & \text{Faces} & \text{Edges} & \text{Vertices} \\
\hline
\text{Cube} & \text{Cube} & 6 & 12 & 8 \\
\hline
\text{Tetrahedron} & \text{Tetrahedron} & 4 & 6 & 4 \\
\hline
\text{Cone} & \text{Cone} & 1 & 1 & 1 \\
\hline
\text{Rectangular Prism} & \text{Rectangular Prism} & 6 & 12 & 8 \\
\hline
\text{Sphere} & \text{Sphere} & 0 & 0 & 0 \\
\hline
\end{array}
}
\]