Chapter 10 of 14
Syllabus
Surface Areas and Volumes — Syllabus
Karnataka Board · Class 10 · Mathematics
What Surface Areas and Volumes covers in Karnataka Board Class 10 Mathematics: 4 topics, for the 2026-27 session.
45 questions20 flashcards4 concepts
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4 Topics · Karnataka Board Class 10 Mathematics · 2026-27
Topics in Surface Areas and Volumes
1
Basic Formulas for 3D Shapes
- Master the basic formulas for cube, cuboid, cylinder, cone, hemisphere, and sphere
- Understand the difference between Total Surface Area (TSA) and Curved Surface Area (CSA)
- Remember that volume always remains additive when combining shapes
2
Surface Area of Combination Solids
- When two shapes are joined, the joining surfaces are not counted in total surface area
- Surface area = Sum of individual surface areas - Area of joining surfaces
- Identify which surfaces are visible after joining
3
Volume of Combination Solids
- Volume is always additive - no surface area considerations needed
- Total volume = Sum of volumes of individual parts
- For hollow objects, subtract the volume of the cavity
4
Step-by-Step Problem Solving
- Always draw a diagram first
- Identify the basic shapes involved
- List known dimensions and what needs to be found
Key Concepts
When two or more basic solidsUnlike surface areaAlways follow these stepsKey combinations include
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Start This ChapterFrequently Asked Questions
What are the important topics in Surface Areas and Volumes for Karnataka Board Class 10 Mathematics?
Key topics in Surface Areas and Volumes include Basic Formulas for 3D Shapes, Surface Area of Combination Solids, Volume of Combination Solids, Step-by-Step Problem Solving. Study these first, then practise questions on each for the Karnataka Board Class 10 board exam.
How should I revise Surface Areas and Volumes for the Karnataka Board Class 10 board exam?
Learn the core ideas first, then work through the 45 practice questions on Surface Areas and Volumes. Revise definitions regularly and use flashcards for quick recall before the exam.
Sources & Official References
- Karnataka SSLC — kseeb.kar.nic.in
- Dept of Pre-University Education, Karnataka
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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