Year 11 - Maths
Checking and securing understanding of nets of solids
2D and 3D shape: surface area and volume (pyramids, spheres and cones)
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils will further develop their understanding of shapes by considering the surface area and volume of pyramids, spheres and cones.
Lesson Summary
You will learn to relate a solid to its net, draw a solid from its net and draw a net from its solid.
Key Notes
- A net is composed of polygons.
- Folding a net along certain edges and joining others, produces a solid.
- By studying the polygons in the net, you can deduce what solid is made.
- By studying the solid, you can draw the net.
Vocabulary To Learn
- Net: The net of a 3D object is a 2D representation of its surfaces that can be folded up into the 3D object.
Common Mistakes To Avoid
- Pupils may misconfigure the net, believing that as long as the shapes of the faces are correct, the net will fold to be the desired 3D shape.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A net is composed of polygons. Folding a net along certain edges and joining others, produces a solid.
2. Use this key word in a maths sentence and explain it clearly. 'Net'
The net of a 3D object is a 2D representation of its surfaces that can be folded up into the 3D object. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may misconfigure the net, believing that as long as the shapes of the faces are correct, the net will fold to be the desired 3D shape. Correction: Have pupils mark/label/colour the edges that will join upon folding the net, this will ensure they are the correct length.
More Lessons In This Unit
- Advanced problem solving with further surface area and volume Study Guide
- Checking and securing understanding of surface area of a cylinder Study Guide
- Checking and securing understanding of surface area of cuboids Study Guide
- Checking and securing understanding of surface area of other prisms Study Guide
- Checking and securing understanding of volume of a cylinder Study Guide
- Checking and securing understanding of volume of prisms Study Guide
- Forming equations involving complex shape calculations Study Guide
- Problem solving with further surface area and volume Study Guide
- Surface area of a frustum of a cone Study Guide
- Surface area of composite solids Study Guide
- The surface area of a cone Study Guide
- The surface area of a pyramid Study Guide
- The surface area of a sphere Study Guide
- The volume of a cone Study Guide
- The volume of a pyramid Study Guide
- The volume of a sphere Study Guide
- Volume of a frustum of a cone Study Guide
- Volume of composite solids Study Guide
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