Free Grade 3 Working with Surface Area Lessons
Free Grade 3 lessons for Working with 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
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with surface area
Identify working with surface area accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with surface area
Explain working with surface area accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with surface area
Calculate working with surface area accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with surface area
Compare working with 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 Working with 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 5 cm × 2 cm × 6 cm.[1]
- 2.Find the volume of a cuboid 6 cm × 5 cm × 3 cm.[1]
- 3.Find the volume of a cuboid 9 cm × 7 cm × 2 cm.[1]
- 4.Find the volume of a cuboid 9 cm × 4 cm × 10 cm.[1]
- 5.Find the volume of a cuboid 9 cm × 5 cm × 7 cm.[2]
- 6.Find the volume of a cuboid 7 cm × 10 cm × 9 cm.[2]
- 7.Find the volume of a cuboid 2 cm × 6 cm × 8 cm.[2]
- 8.Find the volume of a cuboid 10 cm × 9 cm × 4 cm.[2]
- 9.Find the surface area of a cuboid 2 cm × 9 cm × 7 cm.[3]
- 10.Find the surface area of a cuboid 5 cm × 4 cm × 2 cm.[3]
- 11.Find the surface area of a cuboid 8 cm × 8 cm × 10 cm.[3]
- 12.Find the surface area of a cuboid 9 cm × 3 cm × 7 cm.[3]
Show answers and working
1. 60 cm³
Volume = length × width × height. 5 × 2 × 6 = 60 cm³.
2. 90 cm³
Volume = length × width × height. 6 × 5 × 3 = 90 cm³.
3. 126 cm³
Volume = length × width × height. 9 × 7 × 2 = 126 cm³.
4. 360 cm³
Volume = length × width × height. 9 × 4 × 10 = 360 cm³.
5. 315 cm³
Volume = length × width × height. 9 × 5 × 7 = 315 cm³.
6. 630 cm³
Volume = length × width × height. 7 × 10 × 9 = 630 cm³.
7. 96 cm³
Volume = length × width × height. 2 × 6 × 8 = 96 cm³.
8. 360 cm³
Volume = length × width × height. 10 × 9 × 4 = 360 cm³.
9. 190 cm²
Three pairs of faces: 18, 63, 14. 2 × (18 + 63 + 14) = 190 cm².
10. 76 cm²
Three pairs of faces: 20, 8, 10. 2 × (20 + 8 + 10) = 76 cm².
11. 448 cm²
Three pairs of faces: 64, 80, 80. 2 × (64 + 80 + 80) = 448 cm².
12. 222 cm²
Three pairs of faces: 27, 21, 63. 2 × (27 + 21 + 63) = 222 cm².
Worked examples
Find the volume of a cuboid 9 cm × 9 cm × 2 cm.
- Volume = length × width × height.
- 9 × 9 × 2 = 162 cm³.
- Answer: 162 cm³
Find the volume of a cuboid 2 cm × 6 cm × 7 cm.
- Volume = length × width × height.
- 2 × 6 × 7 = 84 cm³.
- Answer: 84 cm³
Find the surface area of a cuboid 4 cm × 6 cm × 10 cm.
- Three pairs of faces: 24, 60, 40.
- 2 × (24 + 60 + 40) = 248 cm².
- Answer: 248 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 Working with Surface Area
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Frequently asked
- Is this Grade 3 Working with 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 Introducing Surface Area, 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 Working with Surface Area?
- Move on to Surface Area in Context, Nets, Volume of Prisms, Volume of Cylinders, which build directly on this idea.
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