Free Grade 3 Surface Area in Context Lesson Plans
Free Grade 3 lesson plans for Surface Area in Context: 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
Core
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain surface area in context
Explain surface area in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate surface area in context
Calculate surface area in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare surface area in context
Compare surface area in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify surface area in context
Justify surface area in context 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 in Context 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 × 5 cm × 2 cm.[1]
- 2.Find the volume of a cuboid 5 cm × 8 cm × 8 cm.[1]
- 3.Find the volume of a cuboid 10 cm × 8 cm × 7 cm.[1]
- 4.Find the volume of a cuboid 9 cm × 4 cm × 4 cm.[1]
- 5.Find the volume of a cuboid 5 cm × 8 cm × 3 cm.[2]
- 6.Find the volume of a cuboid 4 cm × 4 cm × 9 cm.[2]
- 7.Find the volume of a cuboid 6 cm × 9 cm × 2 cm.[2]
- 8.Find the volume of a cuboid 3 cm × 2 cm × 7 cm.[2]
- 9.Find the surface area of a cuboid 8 cm × 5 cm × 10 cm.[3]
- 10.Find the surface area of a cuboid 9 cm × 9 cm × 3 cm.[3]
- 11.Find the surface area of a cuboid 4 cm × 3 cm × 5 cm.[3]
- 12.Find the surface area of a cuboid 8 cm × 5 cm × 6 cm.[3]
Show answers and working
1. 80 cm³
Volume = length × width × height. 8 × 5 × 2 = 80 cm³.
2. 320 cm³
Volume = length × width × height. 5 × 8 × 8 = 320 cm³.
3. 560 cm³
Volume = length × width × height. 10 × 8 × 7 = 560 cm³.
4. 144 cm³
Volume = length × width × height. 9 × 4 × 4 = 144 cm³.
5. 120 cm³
Volume = length × width × height. 5 × 8 × 3 = 120 cm³.
6. 144 cm³
Volume = length × width × height. 4 × 4 × 9 = 144 cm³.
7. 108 cm³
Volume = length × width × height. 6 × 9 × 2 = 108 cm³.
8. 42 cm³
Volume = length × width × height. 3 × 2 × 7 = 42 cm³.
9. 340 cm²
Three pairs of faces: 40, 50, 80. 2 × (40 + 50 + 80) = 340 cm².
10. 270 cm²
Three pairs of faces: 81, 27, 27. 2 × (81 + 27 + 27) = 270 cm².
11. 94 cm²
Three pairs of faces: 12, 15, 20. 2 × (12 + 15 + 20) = 94 cm².
12. 236 cm²
Three pairs of faces: 40, 30, 48. 2 × (40 + 30 + 48) = 236 cm².
Worked examples
Find the volume of a cuboid 6 cm × 10 cm × 7 cm.
- Volume = length × width × height.
- 6 × 10 × 7 = 420 cm³.
- Answer: 420 cm³
Find the volume of a cuboid 6 cm × 7 cm × 4 cm.
- Volume = length × width × height.
- 6 × 7 × 4 = 168 cm³.
- Answer: 168 cm³
Find the surface area of a cuboid 5 cm × 8 cm × 9 cm.
- Three pairs of faces: 40, 72, 45.
- 2 × (40 + 72 + 45) = 314 cm².
- Answer: 314 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 Surface Area in Context lesson plan really free?
- Yes. Every lesson plans 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 Working with Surface Area, Introducing Surface Area, Nets. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 in Context?
- Move on to Nets, Volume of Prisms, Volume of Cylinders, Volume of Spheres, which build directly on this idea.
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