3D Shapes Worksheet for Students to Identify Faces, Edges, and Vertices

Let's solve this step-by-step by identifying the number of faces, edges, and vertices for each 3D shape shown in the worksheet.

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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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1. Cone

- Faces: 2
- 1 circular base + 1 curved surface (but in elementary math, we often count only flat faces; however, the curved surface is considered a face in some contexts). But typically, the cone has:
- 1 flat face (base)
- 1 curved surface (not flat), so only 1 face if considering only flat faces.
- However, in many elementary curricula, the curved surface is counted as a face, so 2 faces (1 base + 1 lateral).
- ✔ Answer: 2 faces (including the curved surface)

- Edges: 1
- The circular edge of the base.
- ✔ Answer: 1 edge

- Vertices: 1
- The tip (apex) of the cone.
- ✔ Answer: 1 vertex

> 💡 Note: Some sources say cones have 0 vertices because the apex is not a "corner" like in polygons. But in basic geometry for kids, it's commonly accepted that the apex is a vertex.

✔ Cone: Faces = 2, Edges = 1, Vertices = 1

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2. Cylinder

- Faces: 3
- 2 circular bases (top and bottom) + 1 curved surface
- But again, curved surface may be counted or not.
- In elementary terms: 2 flat faces (top and bottom), and 1 curved surface → often counted as 3 faces
- ✔ Answer: 3 faces

- Edges: 2
- Two circular edges (top and bottom rims)
- ✔ Answer: 2 edges

- Vertices: 0
- No sharp corners — no vertices
- ✔ Answer: 0 vertices

✔ Cylinder: Faces = 3, Edges = 2, Vertices = 0

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3. Cube

- Faces: 6
- 6 square faces
- ✔ Answer: 6 faces

- Edges: 12
- Each face has 4 edges, but shared → 12 total
- ✔ Answer: 12 edges

- Vertices: 8
- 8 corners
- ✔ Answer: 8 vertices

✔ Cube: Faces = 6, Edges = 12, Vertices = 8

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4. Pyramid (Assuming a square pyramid — based on drawing)

- Faces: 5
- 1 square base + 4 triangular faces
- ✔ Answer: 5 faces

- Edges: 8
- Base has 4 edges, and 4 edges from base to apex
- ✔ Answer: 8 edges

- Vertices: 5
- 4 at base + 1 apex
- ✔ Answer: 5 vertices

✔ Pyramid: Faces = 5, Edges = 8, Vertices = 5

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5. Rectangular Prism (also known as a cuboid)

- Faces: 6
- 6 rectangular faces (top, bottom, front, back, left, right)
- ✔ Answer: 6 faces

- Edges: 12
- Same as cube: 12 edges
- ✔ Answer: 12 edges

- Vertices: 8
- 8 corners
- ✔ Answer: 8 vertices

✔ Rectangular Prism: Faces = 6, Edges = 12, Vertices = 8

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6. Sphere

- Faces: 0
- No flat surfaces
- ✔ Answer: 0 faces

- Edges: 0
- No edges
- ✔ Answer: 0 edges

- Vertices: 0
- No corners
- ✔ Answer: 0 vertices

✔ Sphere: Faces = 0, Edges = 0, Vertices = 0

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✔ Final Answers:

| Shape | Faces | Edges | Vertices |
|--------------------|-------|--------|----------|
| Cone | 2 | 1 | 1 |
| Cylinder | 3 | 2 | 0 |
| Cube | 6 | 12 | 8 |
| Pyramid | 5 | 8 | 5 |
| Rectangular Prism | 6 | 12 | 8 |
| Sphere | 0 | 0 | 0 |

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📝 Summary for Filling the Worksheet:

Top Row:
- Cone: Faces: 2, Edges: 1, Vertices: 1
- Cylinder: Faces: 3, Edges: 2, Vertices: 0
- Cube: Faces: 6, Edges: 12, Vertices: 8

Bottom Row:
- Pyramid: Faces: 5, Edges: 8, Vertices: 5
- Rectangular Prism: Faces: 6, Edges: 12, Vertices: 8
- Sphere: Faces: 0, Edges: 0, Vertices: 0

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This completes the worksheet! Let me know if you'd like a printable version or explanation for younger learners.