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Mathematics · Year 7
A net is a 2D shape that can be folded up to make a 3D object — like a flattened cardboard box. Different 3D objects have different nets: a cube's net is made of 6 squares, while a triangular prism's net includes 2 triangles and 3 rectangles. You can also represent a 3D object by drawing its views from different angles — the front view, side view and top view — which together show its full shape without needing a 3D drawing.
Example
A cereal box (a rectangular prism) can be unfolded into a net of 6 rectangles. Looking at it from the front shows a rectangle, from the top shows a rectangle, and from the side shows a rectangle too — but each view can have different dimensions.
Key terms
Questions
1. A net is:
2. A cube's net is made of:
3. A triangular prism's net includes:
4. The front view of an object shows it from:
5. The top view of an object shows it from:
6. Representing a 3D object with 2D views mainly helps you:
7. A cereal box is an example of a:
8. How many faces does a cube have?
9. How many rectangles are in the net of a rectangular prism?
10. A cylinder's net includes:
11. Which 3D shape has a net made of one rectangle and two circles?
12. The side view and front view of a shape can be:
13. Folding a net correctly should result in:
14. Which shape does NOT have a flat net that can be unfolded into flat 2D pieces easily?
15. A square-based pyramid's net includes:
16. If you only see the front and top views of an object, you might:
17. Two different 3D objects could have:
18. Why might engineers use front, side and top views instead of only a net?
19. A net has 6 identical squares, all correctly connected. What 3D object will it fold into?
20. Which is TRUE about the relationship between a 3D object and its net?
Answer key (parent copy)