Free Grade 3 Introducing Surface Area Common Errors Lessons
Free Grade 3 lessons for Introducing Surface Area Common Errors: 12 real questions with a full answer key and worked solutions. Volume is how much space a 3D shape takes up. For a cuboid, multiply length × width × height. Surface area is the total area of all faces.
Free
Stretch
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing surface area common errors
Explain introducing surface area common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing surface area common errors
Calculate introducing surface area common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing surface area common errors
Compare introducing surface area common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing surface area common errors
Justify introducing surface area common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Introducing Surface Area Common Errors works
Volume is how much space a 3D shape takes up. For a cuboid, multiply length × width × height. Surface area is the total area of all faces.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Find the volume of a cuboid 8 cm × 7 cm × 4 cm.[1]
- 2.Find the volume of a cuboid 4 cm × 8 cm × 5 cm.[1]
- 3.Find the volume of a cuboid 8 cm × 4 cm × 2 cm.[1]
- 4.Find the volume of a cuboid 10 cm × 9 cm × 4 cm.[1]
- 5.Find the volume of a cuboid 8 cm × 8 cm × 5 cm.[2]
- 6.Find the volume of a cuboid 6 cm × 2 cm × 9 cm.[2]
- 7.Find the volume of a cuboid 10 cm × 5 cm × 9 cm.[2]
- 8.Find the volume of a cuboid 10 cm × 3 cm × 9 cm.[2]
- 9.Find the surface area of a cuboid 8 cm × 7 cm × 7 cm.[3]
- 10.Find the surface area of a cuboid 3 cm × 3 cm × 3 cm.[3]
- 11.Find the surface area of a cuboid 4 cm × 6 cm × 4 cm.[3]
- 12.Find the surface area of a cuboid 6 cm × 4 cm × 5 cm.[3]
Show answers and working
1. 224 cm³
Volume = length × width × height. 8 × 7 × 4 = 224 cm³.
2. 160 cm³
Volume = length × width × height. 4 × 8 × 5 = 160 cm³.
3. 64 cm³
Volume = length × width × height. 8 × 4 × 2 = 64 cm³.
4. 360 cm³
Volume = length × width × height. 10 × 9 × 4 = 360 cm³.
5. 320 cm³
Volume = length × width × height. 8 × 8 × 5 = 320 cm³.
6. 108 cm³
Volume = length × width × height. 6 × 2 × 9 = 108 cm³.
7. 450 cm³
Volume = length × width × height. 10 × 5 × 9 = 450 cm³.
8. 270 cm³
Volume = length × width × height. 10 × 3 × 9 = 270 cm³.
9. 322 cm²
Three pairs of faces: 56, 49, 56. 2 × (56 + 49 + 56) = 322 cm².
10. 54 cm²
Three pairs of faces: 9, 9, 9. 2 × (9 + 9 + 9) = 54 cm².
11. 128 cm²
Three pairs of faces: 24, 24, 16. 2 × (24 + 24 + 16) = 128 cm².
12. 148 cm²
Three pairs of faces: 24, 20, 30. 2 × (24 + 20 + 30) = 148 cm².
Worked examples
Find the volume of a cuboid 2 cm × 9 cm × 2 cm.
- Volume = length × width × height.
- 2 × 9 × 2 = 36 cm³.
- Answer: 36 cm³
Find the volume of a cuboid 6 cm × 9 cm × 8 cm.
- Volume = length × width × height.
- 6 × 9 × 8 = 432 cm³.
- Answer: 432 cm³
Find the surface area of a cuboid 2 cm × 9 cm × 7 cm.
- Three pairs of faces: 18, 63, 14.
- 2 × (18 + 63 + 14) = 190 cm².
- Answer: 190 cm²
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Adds the dimensions instead of multiplying.
Correction: Volume = l × w × h.
Counts only three faces for surface area.
Correction: A cuboid has six faces — three matching pairs.
Teacher tips
- · Build cuboids from cubes before using the formula.
Parent tips
- · Work out how many sugar cubes fit in a box.
Real-life applications
- · Filling a fish tank, wrapping a present.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Introducing Surface Area Common Errors lesson really free?
- Yes. Every lessons on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Introducing Surface Area Word Problems, Introducing Surface Area Techniques, Nets. Each one has its own free lesson, worksheet and quiz.
- How is the lesson sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Introducing Surface Area Common Errors?
- Move on to Working with Surface Area, Surface Area in Context, which build directly on this idea.
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