Free Grade 3 Surface Area Worksheets
Free Grade 3 worksheets 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
25 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 7 cm × 4 cm × 8 cm.[1]
- 2.Find the volume of a cuboid 7 cm × 5 cm × 4 cm.[1]
- 3.Find the volume of a cuboid 5 cm × 3 cm × 5 cm.[1]
- 4.Find the volume of a cuboid 10 cm × 7 cm × 3 cm.[1]
- 5.Find the volume of a cuboid 6 cm × 10 cm × 7 cm.[2]
- 6.Find the volume of a cuboid 9 cm × 3 cm × 5 cm.[2]
- 7.Find the volume of a cuboid 6 cm × 4 cm × 8 cm.[2]
- 8.Find the volume of a cuboid 2 cm × 6 cm × 7 cm.[2]
- 9.Find the surface area of a cuboid 2 cm × 4 cm × 6 cm.[3]
- 10.Find the surface area of a cuboid 8 cm × 3 cm × 9 cm.[3]
- 11.Find the surface area of a cuboid 6 cm × 2 cm × 2 cm.[3]
- 12.Find the surface area of a cuboid 10 cm × 4 cm × 6 cm.[3]
Show answers and working
1. 224 cm³
Volume = length × width × height. 7 × 4 × 8 = 224 cm³.
2. 140 cm³
Volume = length × width × height. 7 × 5 × 4 = 140 cm³.
3. 75 cm³
Volume = length × width × height. 5 × 3 × 5 = 75 cm³.
4. 210 cm³
Volume = length × width × height. 10 × 7 × 3 = 210 cm³.
5. 420 cm³
Volume = length × width × height. 6 × 10 × 7 = 420 cm³.
6. 135 cm³
Volume = length × width × height. 9 × 3 × 5 = 135 cm³.
7. 192 cm³
Volume = length × width × height. 6 × 4 × 8 = 192 cm³.
8. 84 cm³
Volume = length × width × height. 2 × 6 × 7 = 84 cm³.
9. 88 cm²
Three pairs of faces: 8, 24, 12. 2 × (8 + 24 + 12) = 88 cm².
10. 246 cm²
Three pairs of faces: 24, 27, 72. 2 × (24 + 27 + 72) = 246 cm².
11. 56 cm²
Three pairs of faces: 12, 4, 12. 2 × (12 + 4 + 12) = 56 cm².
12. 248 cm²
Three pairs of faces: 40, 24, 60. 2 × (40 + 24 + 60) = 248 cm².
Worked examples
Find the volume of a cuboid 3 cm × 5 cm × 2 cm.
- Volume = length × width × height.
- 3 × 5 × 2 = 30 cm³.
- Answer: 30 cm³
Find the volume of a cuboid 8 cm × 8 cm × 9 cm.
- Volume = length × width × height.
- 8 × 8 × 9 = 576 cm³.
- Answer: 576 cm³
Find the surface area of a cuboid 8 cm × 2 cm × 3 cm.
- Three pairs of faces: 16, 6, 24.
- 2 × (16 + 6 + 24) = 92 cm².
- Answer: 92 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.
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Frequently asked
- Is this Grade 3 Surface Area worksheet really free?
- Yes. Every worksheets 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 worksheet 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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