Class 9 Mathematics — Chapter 14: Surface Areas and Volumes
90 practice questions · 30 Easy · 30 Medium · 30 Hard
Practise Class 9 Mathematics Chapter 14, "Surface Areas and Volumes", with 90 NCERT-aligned multiple-choice questions. The set is split into 30 Easy, 30 Medium and 30 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 9 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 90.
Key concepts: Surface Areas and Volumes (Class 9 Mathematics)
This chapter derives surface areas and volumes of solids — cuboid, cube, cylinder, cone, sphere and hemisphere — and applies them to real objects.
- Surface area types
- Curved (lateral) surface area excludes the flat ends; total surface area includes them.
- Right circular cone
- Slant height l relates to radius and height by l² = r² + h²; needed before finding the cone's surface area.
- Sphere and hemisphere
- A sphere is fully curved; a hemisphere adds a flat circular face, so its total surface area includes that circle.
- Volume
- The space a solid occupies, measured in cubic units; used in capacity and material problems.
Key formulas — Surface Areas and Volumes
💡 Exam tips for Surface Areas and Volumes
- For a cone, find slant height l = √(r² + h²) before using the surface-area formula.
- Watch the difference between curved and total surface area — the question usually specifies which.
Sample questions
Total surface area of a cuboid with length l, breadth b, height h is:
TSA of cuboid = 2(lb + bh + hl).
Find TSA of a cuboid with l=12cm, b=10cm, h=8cm.
TSA=2(12×10+10×8+8×12)=2(120+80+96)=2×296=592cm².
A copper sphere r=3cm is melted into a wire r=0.3cm. Find length of wire.
Volume is conserved: (4/3)π(3)³=π(0.3)²L ⇒ 36π=0.09πL ⇒ L=400 cm.
Surface Areas and Volumes — FAQs
What are the key concepts in Class 9 Mathematics Surface Areas and Volumes?+
This chapter derives surface areas and volumes of solids — cuboid, cube, cylinder, cone, sphere and hemisphere — and applies them to real objects. Key ideas include Surface area types, Right circular cone, Sphere and hemisphere, Volume.
What does Class 9 Mathematics Chapter 14 (Surface Areas and Volumes) cover on XamBaaz?+
It covers 90 NCERT-aligned MCQs on "Surface Areas and Volumes" — 30 Easy, 30 Medium and 30 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.
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