Free Grade 3 Introducing Surface Area Worksheets
Free Grade 3 worksheets for Introducing 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing surface area
Identify introducing surface area accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing surface area
Explain introducing surface area accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing surface area
Calculate introducing surface area accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing surface area
Compare introducing 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 Introducing 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 × 7 cm × 5 cm.[1]
- 2.Find the volume of a cuboid 2 cm × 6 cm × 10 cm.[1]
- 3.Find the volume of a cuboid 10 cm × 10 cm × 8 cm.[1]
- 4.Find the volume of a cuboid 2 cm × 2 cm × 4 cm.[1]
- 5.Find the volume of a cuboid 9 cm × 7 cm × 10 cm.[2]
- 6.Find the volume of a cuboid 7 cm × 9 cm × 6 cm.[2]
- 7.Find the volume of a cuboid 9 cm × 10 cm × 7 cm.[2]
- 8.Find the volume of a cuboid 7 cm × 5 cm × 10 cm.[2]
- 9.Find the surface area of a cuboid 2 cm × 10 cm × 6 cm.[3]
- 10.Find the surface area of a cuboid 6 cm × 3 cm × 10 cm.[3]
- 11.Find the surface area of a cuboid 10 cm × 3 cm × 8 cm.[3]
- 12.Find the surface area of a cuboid 3 cm × 2 cm × 6 cm.[3]
Show answers and working
1. 245 cm³
Volume = length × width × height. 7 × 7 × 5 = 245 cm³.
2. 120 cm³
Volume = length × width × height. 2 × 6 × 10 = 120 cm³.
3. 800 cm³
Volume = length × width × height. 10 × 10 × 8 = 800 cm³.
4. 16 cm³
Volume = length × width × height. 2 × 2 × 4 = 16 cm³.
5. 630 cm³
Volume = length × width × height. 9 × 7 × 10 = 630 cm³.
6. 378 cm³
Volume = length × width × height. 7 × 9 × 6 = 378 cm³.
7. 630 cm³
Volume = length × width × height. 9 × 10 × 7 = 630 cm³.
8. 350 cm³
Volume = length × width × height. 7 × 5 × 10 = 350 cm³.
9. 184 cm²
Three pairs of faces: 20, 60, 12. 2 × (20 + 60 + 12) = 184 cm².
10. 216 cm²
Three pairs of faces: 18, 30, 60. 2 × (18 + 30 + 60) = 216 cm².
11. 268 cm²
Three pairs of faces: 30, 24, 80. 2 × (30 + 24 + 80) = 268 cm².
12. 72 cm²
Three pairs of faces: 6, 12, 18. 2 × (6 + 12 + 18) = 72 cm².
Worked examples
Find the volume of a cuboid 9 cm × 10 cm × 8 cm.
- Volume = length × width × height.
- 9 × 10 × 8 = 720 cm³.
- Answer: 720 cm³
Find the volume of a cuboid 7 cm × 2 cm × 4 cm.
- Volume = length × width × height.
- 7 × 2 × 4 = 56 cm³.
- Answer: 56 cm³
Find the surface area of a cuboid 6 cm × 2 cm × 6 cm.
- Three pairs of faces: 12, 12, 36.
- 2 × (12 + 12 + 36) = 120 cm².
- Answer: 120 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 Introducing Surface Area
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Frequently asked
- Is this Grade 3 Introducing 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. 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 Introducing Surface Area?
- Move on to Working with Surface Area, Surface Area in Context, Nets, Volume of Prisms, which build directly on this idea.
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