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3D Shape Properties

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3D Shape Properties / Ngā Āhuatanga Ā-toru

3D shapes illustration

📚 Wāhanga Tuatahi / Part 1: Identifying 3D Shapes

1. Which of these is a 3D shape?

Square / Tapawhā

Cube / Kiupa

Triangle / Tapatoru

Circle / Porohita

2. A cube has:

4 faces (mata), 8 edges (taha), 4 vertices (kokonga)

6 faces (mata), 12 edges (taha), 8 vertices (kokonga)

8 faces (mata), 6 edges (taha), 12 vertices (kokonga)

12 faces (mata), 8 edges (taha), 6 vertices (kokonga)

3. Which shapes have curved surfaces? (Tick all that apply)

Cylinder / Raina

Sphere / Pōro

Cone / Kōni

Rectangular prism / Tapawhā roa

4. What is the main difference between 2D and 3D shapes?

2D shapes are bigger than 3D shapes

3D shapes have depth, 2D shapes are flat

2D shapes have more edges

3D shapes are always round

✏️ Wāhanga Tuarua / Part 2: Shape Properties

5. Complete the table for a triangular pyramid:

Triangular Pyramid / Puramiti tapatoru:

Number of faces (mata): ___________

Number of edges (taha): ___________

Number of vertices (kokonga): ___________

Shape of the base: ___________

6. Draw a net for a cube in the box below. Label it "Net / Kupenga":
7. Explain in your own words what a "face" (mata) of a 3D shape is:
8. Name a real-world object that is shaped like each 3D shape:

Sphere (pōro): ___________________

Cylinder (raina): ___________________

Cone (kōni): ___________________

Rectangular prism (tapawhā roa): ___________________

🎯 Wāhanga Tuatoru / Part 3: Challenge Questions

9. A shape has 5 faces, 8 edges, and 5 vertices. What shape is it?
10. Extension: If you cut a cube in half, what 2D shape would you see on the cut surface? Explain your thinking:
11. Design your own 3D shape using triangular and square faces. Draw it below and describe its properties:

My shape has _____ faces, _____ edges, and _____ vertices.

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