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Shapes in Space

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Shapes in Space

Shapes in Space

Various 2D and 3D shapes including cubes, pyramids, and polygons

🔍 Part 1: Shape Identification

1. Circle the 3D shapes from the list below:

Square

Cube

Triangle

Rectangular prism

Circle

Pyramid

2. Which term describes a corner where edges meet?

Face (mata)

Edge (pae)

Vertex (tamaiti)

Side

📐 Part 2: Shape Properties

3. Complete the table for a cube:

Number of faces: __________

Number of edges: __________

Number of vertices: __________

4. Complete the table for a triangular prism:

Number of faces: __________

Number of edges: __________

Number of vertices: __________

5. What is the difference between a regular and irregular polygon?

🏗️ Part 3: 2D and 3D Connections

6. Match each 3D shape with the 2D shapes that form its faces:
1. Cube
2. Triangular pyramid
3. Rectangular prism
4. Triangular prism
A. Rectangles and triangles
B. Only triangles
C. Only squares
D. Only rectangles
7. Draw the net (unfolded shape) of a cube:

🧮 Part 4: Classification Challenge

8. Which of these shapes are regular polygons? (Select all that apply)

Equilateral triangle

Rectangle

Square

Irregular pentagon

Regular hexagon

9. Name a real-world object that has the shape of each 3D form:

Cube: ________________________

Cylinder: ________________________

Pyramid: ________________________

Rectangular prism: ________________________

10. Explain how you can tell the difference between a 2D shape and a 3D shape:

🎯 Part 5: Problem Solving

11. A shape has 6 faces, 12 edges, and 8 vertices. What shape is it?
12. Draw an irregular quadrilateral (4-sided shape):
13. Mathematical Working: If you have a triangular prism, show your working to calculate the total number of edges, faces, and vertices:
14. Create your own shape classification using the space below. Sort at least 6 different shapes into groups based on their properties:

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