Properties of 3D Shapes worksheet for geometry practice, including naming shapes and counting their vertices, faces, and edges.

The image provides a summary of the properties of various 3D shapes, including the number of faces, vertices, and edges for each shape. Below is an explanation of each shape and its properties:

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1. Cube

- Faces: 6
- A cube has 6 square faces.
- Vertices: 8
- A cube has 8 corners where edges meet.
- Edges: 12
- A cube has 12 straight edges.

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2. Cylinder

- Faces: 3
- A cylinder has 2 circular faces (top and bottom) and 1 curved surface, which is often considered as a "face" in this context.
- Vertices: 0
- A cylinder has no sharp corners or vertices.
- Edges: 2
- A cylinder has 2 circular edges (top and bottom).

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3. Sphere

- Faces: 1
- A sphere is a single continuous curved surface, which can be considered as one face.
- Vertices: 0
- A sphere has no corners or vertices.
- Edges: 0
- A sphere has no edges.

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4. Triangular Prism

- Faces: 5
- A triangular prism has 2 triangular faces (top and bottom) and 3 rectangular faces.
- Vertices: 6
- A triangular prism has 6 corners where edges meet.
- Edges: 9
- A triangular prism has 9 straight edges.

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5. Cuboid

- Faces: 6
- A cuboid has 6 rectangular faces.
- Vertices: 8
- A cuboid has 8 corners where edges meet.
- Edges: 12
- A cuboid has 12 straight edges.

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6. Cone

- Faces: 2
- A cone has 1 circular face (base) and 1 curved surface, which is often considered as a "face."
- Vertices: 0
- A cone has no sharp corners or vertices.
- Edges: 1
- A cone has 1 circular edge (the base).

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7. Pyramid

- Faces: 5
- A pyramid (specifically a square-based pyramid) has 1 square face (base) and 4 triangular faces.
- Vertices: 5
- A pyramid has 5 corners where edges meet.
- Edges: 8
- A pyramid has 8 straight edges.

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8. Tetrahedron

- Faces: 4
- A tetrahedron has 4 triangular faces.
- Vertices: 4
- A tetrahedron has 4 corners where edges meet.
- Edges: 6
- A tetrahedron has 6 straight edges.

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Summary Table

Here is a concise table summarizing the properties:

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

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Explanation of Key Terms

1. Faces: The flat surfaces of a 3D shape. Curved surfaces are sometimes counted as faces.
2. Vertices: The corners where edges meet.
3. Edges: The line segments where two faces meet.

This chart helps visualize and understand the structural properties of common 3D shapes. If you have any specific questions about these shapes or their properties, feel free to ask!