Free Grade 3 Surface Area Lessons
Free Grade 3 lessons for Surface Area: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain surface area
Explain surface area accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate surface area
Calculate surface area accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare surface area
Compare surface area accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify surface area
Justify surface area 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 Surface Area 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 6 cm × 4 cm × 7 cm.[1]
- 2.Find the volume of a cuboid 6 cm × 10 cm × 3 cm.[1]
- 3.Find the volume of a cuboid 4 cm × 10 cm × 9 cm.[1]
- 4.Find the volume of a cuboid 4 cm × 4 cm × 9 cm.[1]
- 5.Find the volume of a cuboid 6 cm × 5 cm × 10 cm.[2]
- 6.Find the volume of a cuboid 10 cm × 4 cm × 10 cm.[2]
- 7.Find the volume of a cuboid 6 cm × 4 cm × 9 cm.[2]
- 8.Find the volume of a cuboid 2 cm × 10 cm × 6 cm.[2]
- 9.Find the surface area of a cuboid 9 cm × 3 cm × 2 cm.[3]
- 10.Find the surface area of a cuboid 4 cm × 10 cm × 4 cm.[3]
- 11.Find the surface area of a cuboid 10 cm × 8 cm × 9 cm.[3]
- 12.Find the surface area of a cuboid 4 cm × 9 cm × 4 cm.[3]
Show answers and working
1. 168 cm³
Volume = length × width × height. 6 × 4 × 7 = 168 cm³.
2. 180 cm³
Volume = length × width × height. 6 × 10 × 3 = 180 cm³.
3. 360 cm³
Volume = length × width × height. 4 × 10 × 9 = 360 cm³.
4. 144 cm³
Volume = length × width × height. 4 × 4 × 9 = 144 cm³.
5. 300 cm³
Volume = length × width × height. 6 × 5 × 10 = 300 cm³.
6. 400 cm³
Volume = length × width × height. 10 × 4 × 10 = 400 cm³.
7. 216 cm³
Volume = length × width × height. 6 × 4 × 9 = 216 cm³.
8. 120 cm³
Volume = length × width × height. 2 × 10 × 6 = 120 cm³.
9. 102 cm²
Three pairs of faces: 27, 6, 18. 2 × (27 + 6 + 18) = 102 cm².
10. 192 cm²
Three pairs of faces: 40, 40, 16. 2 × (40 + 40 + 16) = 192 cm².
11. 484 cm²
Three pairs of faces: 80, 72, 90. 2 × (80 + 72 + 90) = 484 cm².
12. 176 cm²
Three pairs of faces: 36, 36, 16. 2 × (36 + 36 + 16) = 176 cm².
Worked examples
Find the volume of a cuboid 8 cm × 7 cm × 2 cm.
- Volume = length × width × height.
- 8 × 7 × 2 = 112 cm³.
- Answer: 112 cm³
Find the volume of a cuboid 7 cm × 4 cm × 10 cm.
- Volume = length × width × height.
- 7 × 4 × 10 = 280 cm³.
- Answer: 280 cm³
Find the surface area of a cuboid 4 cm × 5 cm × 8 cm.
- Three pairs of faces: 20, 40, 32.
- 2 × (20 + 40 + 32) = 184 cm².
- Answer: 184 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.
Every free resource for Surface Area
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Learn — Meet the idea.
Practice — Build fluency.
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Assess — Prove mastery.
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Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Surface Area 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 Nets, Perimeter and Area. 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 Surface Area?
- Move on to Volume of Prisms, Volume of Cylinders, Volume of Spheres, Angles, which build directly on this idea.
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