Watch Video
Class 10 Maths Revision Notes for Surface Areas and Volumes of Chapter 12 - Free PDF Download
Class 10 Mathematics has a remarkable syllabus where students discover excellent chapters related to advanced concepts. These concepts will help you study the chapters in higher mathematics that you will study later. In this section, you will find Class 10 Maths Chapter 12 revision notes prepared by the experts to aid students in grabbing the concepts of surface areas and volumes of different shapes. You will find a proper description of the subject matter using simpler language so that you can easily relate to them while answering the questions. These revision notes are ideal to study when you have an exam coming. Use these notes by Vedantu as a reference and prepare the chapter properly.
Table of Content
Vedantu is a platform that provides free NCERT Solution and other study materials for students. You can download NCERT Solutions Class 10 Science to help you to revise the complete Syllabus and score more marks in your examinations.
Surface Areas and Volumes Class 10 Notes CBSE Maths Chapter 12 (Free PDF Download)
ShareShare
FAQs on Surface Areas and Volumes Class 10 Notes CBSE Maths Chapter 12 (Free PDF Download)
1. What are the most important concepts to revise in Surface Areas and Volumes for Class 10 Maths?
The key concepts to revise include surface area and volume formulas for solids like cuboid, cube, cylinder, cone, sphere, and hemisphere. It's also essential to understand lateral surface area (LSA), curved surface area (CSA), total surface area (TSA), and the conversion of one solid shape into another—along with how to approach problems combining multiple shapes.
2. How can students quickly distinguish between Lateral Surface Area (LSA), Curved Surface Area (CSA), and Total Surface Area (TSA) during revision?
Remember that LSA typically refers to only the side faces (excluding top and bottom), CSA refers to all the curved surfaces, and TSA is the sum of all surfaces (including bases). For example, in a cylinder, CSA is the area around the sides, while TSA adds the top and bottom circles.
3. What is the ideal order to revise the topics within the Surface Areas and Volumes chapter for quick exam preparation?
Start with basic shapes (cube, cuboid), then move to the cylinder, cone, sphere, and hemisphere. After mastering single solids, revise combination of solids and conversion problems. Always conclude with a run-through of key formulas and solved examples.
4. Why is it important to learn the derivation of surface area and volume formulas, not just memorize them?
Learning the derivation of formulas improves conceptual clarity and helps in tackling unfamiliar problems or HOTS questions, where direct memorization may not be sufficient. It also enables students to reconstruct a formula if forgotten during exams.
5. How do you approach questions involving the combination or conversion of two or more solid shapes?
First, analyze each shape separately and apply the respective surface area or volume formulas. For combinations, add or subtract areas or volumes as per the problem, ensuring units are consistent. In conversion problems, set the original and final volumes equal to solve for unknowns, since mass and volume remain conserved.
6. What are the most common mistakes students make while revising Surface Areas and Volumes, and how can they avoid them?
Common mistakes include confusing TSA, CSA, and LSA, forgetting to include/exclude bases in calculations, and mixing up units (e.g., square vs cubic units). To avoid these, always write formulas with units, be clear on what the question asks (area or volume), and label all dimensions precisely in diagrams.
7. How can using a concept map help in the last-minute revision of Surface Areas and Volumes?
A concept map visually links different solids with their respective formulas and key properties, helping students to quickly recall and compare methods. Using one during revision consolidates information and highlights interconnections within the chapter, leading to efficient and effective recall during exams.
8. Which real-life applications should you connect with while revising Surface Areas and Volumes for better understanding?
Relate concepts to paint required for walls (surface area), water storage in tanks (volume), and packing or crafting objects. Such connections improve retention and make problem-solving more intuitive in examination scenarios.
9. What types of exam questions are most frequently asked from this chapter as per the CBSE 2025-26 syllabus?
Expect direct formula application, problem-solving based on combinations and conversion of solids, and questions requiring unit conversions. Also, be prepared for conceptual questions differentiating between surface area types and HOTS problems involving real-life contexts or missing dimensions.
10. Why is practising solved examples before attempting exercises critical for efficient revision notes usage?
Practising solved examples builds confidence in the application of formulas, clarifies commonly tested logic, and exposes students to mistake patterns. This leads to fewer errors when tackling exercises and better performance in board exams.
