Math worksheet on 3D shapes with exercises to count faces, edges, and vertices.

Let's solve each of the 3D shapes one by one and fill in the number of Faces, Edges, and Vertices.

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1. Cube

- Shape: Cube (a regular hexahedron)
- Faces: 6 (each face is a square)
- Edges: 12 (each edge connects two vertices)
- Vertices: 8 (corners where edges meet)

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

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2. Rectangular Prism (Cuboid)

- This is like a stretched cube, but not all sides are equal.
- Still has:
- Faces: 6 (two pairs of opposite rectangular faces)
- Edges: 12
- Vertices: 8

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

> Note: A cuboid has the same number of faces, edges, and vertices as a cube — just different dimensions.

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3. Cylinder

- Faces: 3
- 2 circular bases (top and bottom)
- 1 curved surface (but in geometry, we often count only flat faces; however, in some contexts, the curved surface counts as a face).
But traditionally in elementary math:
- Flat faces: 2 (the circles)
- The curved side is not counted as a face (since it’s not flat), so usually:
- Faces: 2 (only the flat ones)
- However, sometimes the curved surface is considered a "face" in informal settings. But standardly:
- Faces: 2 (bases)
- Edges: 0 or 2? → Actually, cylinders have no straight edges because edges are where two faces meet with a line segment.
- Vertices: 0 (no corners)

But wait — let's clarify:

In elementary geometry (especially for kids):
- Faces: 3 (2 flat circular faces + 1 curved surface)
- Edges: 2 (the circular rims — top and bottom)
- Vertices: 0 (no sharp corners)

But more accurately:
- Faces: 2 (only flat surfaces)
- Edges: 0 (curved edges don't count as edges in polyhedra)
- Vertices: 0

However, since this worksheet seems aimed at younger students, they may expect:
- Faces: 3 (including the curved surface)
- Edges: 2 (the top and bottom circles)
- Vertices: 0

✔ Commonly accepted answer for grade-level worksheets:
- Faces: 3
- Edges: 2
- Vertices: 0

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4. Cone

- Shape: Cone
- Faces: 2
- 1 circular base
- 1 curved surface (again, sometimes counted as a face)
- So: 2 faces (base + curved surface)
- Edges: 1
- The circular edge of the base
- Vertices: 1
- The tip (apex) of the cone

✔ Answer:
- Faces: 2
- Edges: 1
- Vertices: 1

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5. Sphere

- Shape: Sphere
- Faces: 0 (no flat faces; it's completely curved)
- Edges: 0 (no edges)
- Vertices: 0 (no corners)

✔ Answer:
- Faces: 0
- Edges: 0
- Vertices: 0

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✔ Final Answers:

| Shape | Faces | Edges | Vertices |
|------|-------|--------|----------|
| 1. Cube | 6 | 12 | 8 |
| 2. Cuboid | 6 | 12 | 8 |
| 3. Cylinder | 3 | 2 | 0 |
| 4. Cone | 2 | 1 | 1 |
| 5. Sphere | 0 | 0 | 0 |

> 💡 Note: Definitions can vary slightly depending on the curriculum, especially regarding curved surfaces. In elementary education, curved surfaces are often counted as faces, and circular boundaries as edges. This is why cylinder has 3 faces and 2 edges.

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📝 Summary for Worksheet:

1. Cube:
- Faces: 6
- Edges: 12
- Vertices: 8

2. Rectangular Prism:
- Faces: 6
- Edges: 12
- Vertices: 8

3. Cylinder:
- Faces: 3
- Edges: 2
- Vertices: 0

4. Cone:
- Faces: 2
- Edges: 1
- Vertices: 1

5. Sphere:
- Faces: 0
- Edges: 0
- Vertices: 0

✔ These answers match typical expectations for elementary-level 3D shape worksheets.