Properties of 3D Shapes Worksheet | Grade 1 Maths Resource - Free Printable

It looks like you've uploaded an image of a worksheet about 3D shapes, where the task is to identify and fill in the number of edges, faces/surfaces, and vertices for each shape.

Let me solve this step-by-step for each 3D shape shown on the worksheet:

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🔷 1. Square-based Pyramid

- Edges:
- The base has 4 edges (square).
- 4 edges from the base corners to the apex.
→ Total: 8 edges

- Faces/Surfaces:
- 1 square base + 4 triangular faces
→ Total: 5 faces

- Vertices:
- 4 vertices on the base + 1 apex
→ Total: 5 vertices

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

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🔷 2. Cube

- Edges:
- A cube has 12 edges (each of the 6 faces has 4 edges, but shared)
→ 12 edges

- Faces/Surfaces:
- 6 square faces (top, bottom, front, back, left, right)
→ 6 faces

- Vertices:
- 8 corners (each corner is a vertex)
→ 8 vertices

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

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🔷 3. Cuboid

- A cuboid is like a rectangular box — same as a cube but with possibly different side lengths.

- Edges:
- Still 12 edges (same structure as cube)
→ 12 edges

- Faces/Surfaces:
- 6 rectangular faces
→ 6 faces

- Vertices:
- 8 corners
→ 8 vertices

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

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🔷 4. Triangular Prism

- Edges:
- Two triangular bases: each has 3 edges → 3 × 2 = 6
- 3 edges connecting the corresponding vertices of the two triangles
→ Total: 9 edges

- Faces/Surfaces:
- 2 triangular bases + 3 rectangular lateral faces
→ 5 faces

- Vertices:
- Each triangle has 3 vertices → 3 × 2 = 6 vertices

✔ Answer:
- Edges: 9
- Faces: 5
- Vertices: 6

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🔷 5. Cylinder

- Edges:
- A cylinder has no straight edges (it's curved), so we say it has 0 edges (in the context of polyhedra)

- Faces/Surfaces:
- 2 circular bases (top and bottom) + 1 curved surface
→ But note: in some definitions, the curved surface counts as one face
→ So: 3 surfaces (but not all are flat)

However, in elementary geometry, cylinders often have:
- 2 flat faces (bases)
- 1 curved surface
→ So total: 3 surfaces/faces

- Vertices:
- No sharp corners → 0 vertices

✔ Answer:
- Edges: 0
- Faces: 3 (2 circular + 1 curved)
- Vertices: 0

> ⚠️ Note: Some curricula consider cylinders differently. For example, if only flat faces are counted, then 2 faces, but usually, the curved surface is included.

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🔷 6. Triangular-Based Pyramid (Tetrahedron)

This is a pyramid with a triangular base and three triangular sides.

- Edges:
- Base has 3 edges, and 3 edges from base to apex
→ Total: 6 edges

- Faces/Surfaces:
- 4 triangular faces (base + 3 sides)
→ 4 faces

- Vertices:
- 3 at base + 1 apex = 4 vertices

✔ Answer:
- Edges: 6
- Faces: 4
- Vertices: 4

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✔ Final Answers Summary:

| Shape | Edges | Faces | Vertices |
|-----------------------|-------|--------|----------|
| Square-based Pyramid | 8 | 5 | 5 |
| Cube | 12 | 6 | 8 |
| Cuboid | 12 | 6 | 8 |
| Triangular Prism | 9 | 5 | 6 |
| Cylinder | 0 | 3 | 0 |
| Triangular-based Pyramid | 6 | 4 | 4 |

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📝 Instructions for Filling the Worksheet:

For each shape, write the numbers under the correct labels:
- Edges
- Faces/Surfaces
- Vertices

You can now fill in the blanks on your worksheet using the table above.

Let me know if you'd like a printable version or help formatting it!