Faces, edges, vertices worksheet - Free Printable

Let's solve this step by step. We are asked to determine the number of faces, edges, and vertices for each 3-dimensional shape.

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🔷 Definitions:

- Face: A flat surface of a 3D shape.
- Edge: A line segment where two faces meet.
- Vertex (plural: vertices): A corner where edges meet.

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Now let’s analyze each shape:

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1. Square Pyramid

- Faces:
- 1 square base + 4 triangular sides = 5 faces
- Edges:
- The square base has 4 edges.
- Each vertex of the base connects to the top apex → 4 more edges.
- Total = 4 + 4 = 8 edges
- Vertices:
- 4 corners on the base + 1 apex = 5 vertices

✔ Answer:
- Faces: 5
- Edges: 8
- Vertices: 5

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2. Rectangular Prism

- Faces:
- 6 rectangular faces (top, bottom, front, back, left, right) = 6 faces
- Edges:
- Each rectangle has 4 edges, but shared between faces.
- There are 12 edges total (e.g., 4 on top, 4 on bottom, 4 vertical). = 12 edges
- Vertices:
- 8 corners (each corner is a vertex) = 8 vertices

✔ Answer:
- Faces: 6
- Edges: 12
- Vertices: 8

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3. Cube

- A cube is a special type of rectangular prism where all sides are equal.
- So it has the same properties as a rectangular prism.

✔ Answer:
- Faces: 6
- Edges: 12
- Vertices: 8

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4. Square Pyramid

This is the same as #1.

✔ Answer:
- Faces: 5
- Edges: 8
- Vertices: 5

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5. Rectangular Prism

This is the same as #2.

✔ Answer:
- Faces: 6
- Edges: 12
- Vertices: 8

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✔ Final Answers Table:

| 3-Dimensional Figure | Faces | Edges | Vertices |
|----------------------|-------|--------|----------|
| 1. Square pyramid | 5 | 8 | 5 |
| 2. Rectangular prism | 6 | 12 | 8 |
| 3. Cube | 6 | 12 | 8 |
| 4. Square pyramid | 5 | 8 | 5 |
| 5. Rectangular prism | 6 | 12 | 8 |

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📝 Summary:

- Square Pyramid: 5 faces, 8 edges, 5 vertices
- Rectangular Prism & Cube: 6 faces, 12 edges, 8 vertices

> Note: Both #2 and #5 are rectangular prisms, and #1 and #4 are identical square pyramids.

Let me know if you'd like a visual explanation or mnemonic!