Class 10 Mathematics — Chapter 12: Surface Areas and Volumes
65 practice questions · 22 Easy · 22 Medium · 21 Hard
Practise Class 10 Mathematics Chapter 12, "Surface Areas and Volumes", with 65 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 21 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"Surface Areas and Volumes" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Surface Areas and Volumes, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 10 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 65.
Key concepts: Surface Areas and Volumes (Class 10 Mathematics)
This chapter computes the surface area and volume of solids — cuboid, cube, cylinder, cone, sphere and hemisphere — and of combinations formed by joining them.
- Total vs curved surface area
- Curved (lateral) surface area excludes the flat faces; total surface area includes them.
- Volume
- The space a solid occupies, measured in cubic units.
- Combination of solids
- For a solid made by joining shapes (e.g. cone on a cylinder), add the relevant surface areas / volumes of the parts.
- Hidden faces
- When two solids are joined, the surfaces where they meet are not part of the outer surface area.
Key formulas — Surface Areas and Volumes
💡 Exam tips for Surface Areas and Volumes
- When solids are joined, add volumes but only add the surfaces that remain on the outside.
- If a solid is melted and recast into another, the volume stays the same — equate the two volumes.
Sample questions
Surface area of a sphere of radius r:
Sphere SA = 4πr².
Volume of cone radius 3, height 4:
(1/3)π(9)(4) = 12π.
Frustum is obtained by cutting a cone with a plane:
A horizontal cut gives a frustum.
Surface Areas and Volumes — FAQs
What are the key concepts in Class 10 Mathematics Surface Areas and Volumes?+
This chapter computes the surface area and volume of solids — cuboid, cube, cylinder, cone, sphere and hemisphere — and of combinations formed by joining them. Key ideas include Total vs curved surface area, Volume, Combination of solids, Hidden faces.
What does Class 10 Mathematics Chapter 12 (Surface Areas and Volumes) cover on XamBaaz?+
It covers 65 NCERT-aligned MCQs on "Surface Areas and Volumes" — 22 Easy, 22 Medium and 21 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "Surface Areas and Volumes" questions free to practise?+
Yes — sign in with Google to practise "Surface Areas and Volumes" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Surface Areas and Volumes" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Practise all 65 questions free
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