Access the official NCERT Class 10 Mathematics textbook for Chapter 12 – Surface Areas and Volumes PDF. This chapter explores various three-dimensional figures—cuboids, cubes, cylinders, cones, spheres, hemispheres, and frustums. You’ll learn formulas for their curved surface area (CSA), total surface area (TSA), and volume, along with solving problems involving composite solids and converted shapes (e.g., melting a sphere to form a cone). Applications include calculating material requirements and capacities in real-life contexts like tanks and packaging.
Chapter Highlights:
- Review of CSA, TSA & volume formulas for basic solids (cuboids, cylinders, cones, spheres, hemispheres)
- Derivation and use of formulas for frustum of a cone
- Surface areas and volumes of composite solids—addition and subtraction of parts
- Conversions between solids: volumes retained during shape transformation
- Real-world problems: material usage, storage capacities, surface coating
- Exercises on mixed shapes—vessels, toy designs, containers, etc.