Free Grade 3 Working with Surface Area Flashcards
Free Grade 3 flashcards 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.
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30 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 10 cm × 10 cm × 6 cm.[1]
- 2.Find the volume of a cuboid 7 cm × 5 cm × 2 cm.[1]
- 3.Find the volume of a cuboid 5 cm × 8 cm × 7 cm.[1]
- 4.Find the volume of a cuboid 4 cm × 8 cm × 9 cm.[1]
- 5.Find the volume of a cuboid 3 cm × 6 cm × 10 cm.[2]
- 6.Find the volume of a cuboid 6 cm × 9 cm × 4 cm.[2]
- 7.Find the volume of a cuboid 4 cm × 9 cm × 5 cm.[2]
- 8.Find the volume of a cuboid 7 cm × 7 cm × 8 cm.[2]
- 9.Find the surface area of a cuboid 4 cm × 9 cm × 2 cm.[3]
- 10.Find the surface area of a cuboid 5 cm × 9 cm × 5 cm.[3]
- 11.Find the surface area of a cuboid 7 cm × 6 cm × 4 cm.[3]
- 12.Find the surface area of a cuboid 10 cm × 10 cm × 3 cm.[3]
Show answers and working
1. 600 cm³
Volume = length × width × height. 10 × 10 × 6 = 600 cm³.
2. 70 cm³
Volume = length × width × height. 7 × 5 × 2 = 70 cm³.
3. 280 cm³
Volume = length × width × height. 5 × 8 × 7 = 280 cm³.
4. 288 cm³
Volume = length × width × height. 4 × 8 × 9 = 288 cm³.
5. 180 cm³
Volume = length × width × height. 3 × 6 × 10 = 180 cm³.
6. 216 cm³
Volume = length × width × height. 6 × 9 × 4 = 216 cm³.
7. 180 cm³
Volume = length × width × height. 4 × 9 × 5 = 180 cm³.
8. 392 cm³
Volume = length × width × height. 7 × 7 × 8 = 392 cm³.
9. 124 cm²
Three pairs of faces: 36, 18, 8. 2 × (36 + 18 + 8) = 124 cm².
10. 230 cm²
Three pairs of faces: 45, 45, 25. 2 × (45 + 45 + 25) = 230 cm².
11. 188 cm²
Three pairs of faces: 42, 24, 28. 2 × (42 + 24 + 28) = 188 cm².
12. 320 cm²
Three pairs of faces: 100, 30, 30. 2 × (100 + 30 + 30) = 320 cm².
Worked examples
Find the volume of a cuboid 7 cm × 4 cm × 6 cm.
- Volume = length × width × height.
- 7 × 4 × 6 = 168 cm³.
- Answer: 168 cm³
Find the volume of a cuboid 7 cm × 5 cm × 5 cm.
- Volume = length × width × height.
- 7 × 5 × 5 = 175 cm³.
- Answer: 175 cm³
Find the surface area of a cuboid 7 cm × 7 cm × 2 cm.
- Three pairs of faces: 49, 14, 14.
- 2 × (49 + 14 + 14) = 154 cm².
- Answer: 154 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 Working with Surface Area flashcards really free?
- Yes. Every flashcards 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 flashcards 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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