3D Shapes and Nets

Name:

Date:

📚 Part 1: Identifying 2D Shapes in 3D Objects

1. A triangular prism is made up of which 2D shapes?

2 tapatoru (triangles) and 3 tapawhā hurihuri (rectangles)

3 tapatoru (triangles) and 2 tapawhā rite (squares)

4 tapatoru (triangles) and 1 tapawhā hurihuri (rectangle)

2. How many āhua (faces) does a rectangular prism have?

3. Which 3D shape has 4 tapatoru (triangular) faces?

Triangular prism

Triangular pyramid (pupūrangi)

Rectangular prism

4. A cube is composed of:

6 tapawhā rite (squares)

6 tapawhā hurihuri (rectangles)

4 tapawhā rite (squares) and 2 tapatoru (triangles)

✏️ Part 2: Nets and Spatial Reasoning

5. Draw the net of a cube in the space below. Label each āhua (face) with the correct te reo Māori term.

6. If you fold a net with 2 tapatoru (triangles) and 3 tapawhā hurihuri (rectangles), what 3D shape will you create?

Answer: _________________________

7. Count the following for a rectangular prism:

Number of āhua (faces): _____

Number of taha (edges): _____

Number of pūtake (vertices): _____

8. Draw a simple net for a triangular prism below:

🎯 Part 3: Compose and Decompose

9. Look at a square-based pyramid (pupūrangi). Decompose this 3D shape by listing all the 2D shapes that make it up. Use both English and te reo Māori terms.

10. Explain how you would whakaraupapa (compose) a hexagonal prism. What 2D shapes would you need and how many of each?

11. Choose any 3D shape and write a detailed description of its 2D components using precise mathematical language. Include at least three te reo Māori terms (āhua, taha, pūtake, tapatoru, tapawhā rite, etc.)

12. Challenge: If you were designing a gift box, what net would you draw to create a rectangular prism? Explain your spatial reasoning.