📐 Part 1: Shape Properties & Identification

1. Match the 2D shape to the faces found in each 3D shape:

Rectangular Prism

Triangular Prism

Cylinder

Square Pyramid

Tapatoru (triangles) and rectangles

Circles

Tapawhā rite (squares) and triangles

Rectangles only

2. Which 3D shape has 6 faces, 12 edges, and 8 vertices?

Triangular Prism

Rectangular Prism

Square Pyramid

Cylinder

3. Select all the properties that describe a triangular prism:

Has 5 faces

Has 2 triangular faces

Has 3 rectangular faces

Has 9 edges

📏 Part 2: Volume Calculations

4. Calculate the volume of a rectangular prism with length = 8 cm, width = 5 cm, height = 3 cm.

Formula: Volume = length × width × height

Volume = _________ cm³

5. A triangular prism has a triangular base with area 24 cm² and height 7 cm. Calculate its volume.

Formula: Volume = area of base × height

Volume = _________ cm³

6. A water tank in the shape of a rectangular prism measures 2 metres long, 1.5 metres wide, and 1.2 metres high. How many litres of water can it hold?

Hint: 1 cubic metre = 1000 litres

Volume = _________ litres

🧩 Part 3: Nets & Challenge Problems

7. Draw the net of a rectangular prism with dimensions 4 cm × 3 cm × 2 cm on the grid below:

8. Explain in your own words how 2D shapes help us understand and calculate 3D volumes:

9. Challenge: A composite shape is made by joining two rectangular prisms. The first prism is 6 cm × 4 cm × 3 cm, and the second prism is 6 cm × 2 cm × 5 cm. What is the total volume?

Total Volume = _________ cm³

10. Write the te reo Māori terms for:

Triangle: _________________

Square: _________________