Area and volume: practice and worksheets
Apply area, surface area, and volume formulas to composite figures and real-world measurements.
Concept overview
Geometry formulas connect linear dimensions to square or cubic units. Composite figures can be decomposed into familiar shapes, and similarity can scale area and volume predictably.
Key points
- Keep units consistent before substituting values into a formula.
- Use square units for area and cubic units for volume.
- A scale factor k multiplies area by k² and volume by k³.
Worked example
A cylinder with radius 3 and height 5 has volume πr²h = π(3²)(5) = 45π cubic units.
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Questions by difficulty
Area and volume worksheet practice
Use the printable worksheet for independent practice, then check the answer key and worked explanations.
Frequently asked questions
How should I practice Area and volume?
Start with foundation questions, check each answer, and move up a level after several correct answers in a row.
How many practice questions are available?
IQClub currently has 193 published questions for this skill.
Can I use this for test preparation?
Yes. The practice reinforces school mathematics and the same reasoning used in high-school tests and entrance exams.