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3D Shapes and Properties

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3D Shapes and Properties

3D shapes including cube, sphere, cylinder, and pyramid

📚 Part 1: Identifying 3D Shapes

1. Which of these is a 3D shape?

Triangle

Cube

Circle

Square

2. A cube has _____ faces, _____ edges, and _____ vertices.

6 faces, 12 edges, 8 vertices

4 faces, 8 edges, 6 vertices

8 faces, 6 edges, 12 vertices

6 faces, 8 edges, 12 vertices

3. Which 3D shape has one circular base and comes to a point?

Cylinder (pūwaha)

Sphere (pōro)

Cone (koni)

Pyramid (poutāpeta)

4. Check all the properties that describe a cylinder:

Has 2 circular faces

Has a curved surface

Has 8 vertices

Has no edges

✏️ Part 2: Shape Properties and Vocabulary

5. Fill in the blanks using the correct mathematical terms:

a) The flat surfaces of a 3D shape are called _____________ (mata in te reo Māori).

b) The corners where edges meet are called _____________ (tūmū in te reo Māori).

c) Where two faces meet is called an _____________ (taha in te reo Māori).

6. Draw lines to match each 3D shape with its correct net:

Hint: Think about what 2D shapes would fold together to make each 3D shape.

7. Describe the difference between a 2D shape and a 3D shape:
8. Name one real-world object for each 3D shape:

Sphere (pōro): _________________

Cube (pouaka tapawhā rite): _________________

Cylinder (pūwaha): _________________

Cone (koni): _________________

🌟 Part 3: Extension Challenge

9. Advanced: A triangular prism has _____ faces, _____ edges, and _____ vertices.
10. Challenge: If you cut a cylinder in half horizontally, what 2D shape would you see in the cross-section? Explain your reasoning.
11. Creative Task: Design your own 3D shape by combining two different shapes. Describe its properties and draw what it might look like.

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