Year 8 - Maths
Surface area of cylinders
Perimeter, area and volume
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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 extend their knowledge of shapes by exploring the properties of circles and composite shapes before developing understanding of 3-D shapes including surface area and volume.
Lesson Summary
You will learn to find the surface area of cylinders.
Key Notes
- Drawing the net of a cylinder helps deduce the formula for the surface area.
- The formula can be used to find the surface area of any cylinder.
- Unknown lengths can be found when the surface area is known.
Vocabulary To Learn
- Cylinder: a 3D shape with a base that is a circle and a parallel opposite face that is identical. Cross sections parallel to the base are uniform.
Common Mistakes To Avoid
- Pupils may overlook whether they have been given the diameter or radius of the circles.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Drawing the net of a cylinder helps deduce the formula for the surface area. The formula can be used to find the surface area of any cylinder.
2. Use this key word in a maths sentence and explain it clearly. 'Cylinder'
a 3D shape with a base that is a circle and a parallel opposite face that is identical. Cross sections parallel to the base are uniform. 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 overlook whether they have been given the diameter or radius of the circles. Correction: Encourage pupils to always write down the radius before any calculation of the surface area is started.
More Lessons In This Unit
- Area of a circle Study Guide
- Area of composite shapes Study Guide
- Checking understanding of area Study Guide
- Checking understanding of perimeter Study Guide
- Circumference of a circle Study Guide
- Finding a length in composite shapes Study Guide
- Multiplicative relationships in circles Study Guide
- Perimeter of composite shapes Study Guide
- Problem solving with perimeter, area and volume Study Guide
- Properties of prisms Study Guide
- Surface area of cuboids Study Guide
- Surface area of prisms Study Guide
- Using the formula for the area of a circle Study Guide
- Volume of cylinders Study Guide
- Volume of prisms Study Guide
Browse all guides in the Year 8 Maths guide library.