Surface Areas and Volumes
CBSE · Class 10 · Mathematics
Summary of Surface Areas and Volumes for CBSE Class 10 Mathematics. Key concepts, important points, and chapter overview.
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This chapter builds upon your knowledge of basic 3D shapes (cuboid, cone, cylinder, sphere, and hemisphere) from Class IX to explore how to find surface areas and volumes of complex objects formed by combining these basic solids. In real life, we encounter many objects like oil tankers, test tubes,
Key Concepts
When two solids are joined
When two solids are joined, some surfaces become internal and are not counted in the total surface area. For example, when a hemisphere is placed on a
Unlike surface area
Unlike surface area, volume is simply additive when combining solids. The volume of a composite solid equals the sum of volumes of its constituent par
Curved Surface Area (CSA) includes only
Curved Surface Area (CSA) includes only the curved portions of a solid, while Total Surface Area (TSA) includes all surfaces. In combinations: CSA is
Follow systematic approach
Follow systematic approach: 1) Visualize and sketch the composite solid, 2) Break it into recognizable basic shapes, 3) Identify dimensions of each co
Learning Objectives
- Calculate surface area of objects formed by combining two or more basic solids
- Find volumes of composite solids using addition principle
- Distinguish between total surface area and curved surface area in combined solids
- Apply problem-solving techniques to real-world scenarios involving composite shapes
- Understand when and how parts of surface area are excluded in combinations
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- 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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