
Surface Areas and Volumes chapter deals with measuring three-dimensional shapes and understanding how their surfaces and volumes are calculated. It introduces formulas for different solids such as cubes, cuboids, cylinders, cones, and spheres. You will also learn how to solve problems involving combinations of these shapes and the conversion of solids from one form to another.
The chapter requires careful application of formulas and accurate calculations. A clear understanding of these concepts is important for solving practical geometry questions and improving performance in board exams.
Chapter 12 Surface Areas and Volumes focuses on:
Recognising different 3D solids such as a cube, cuboid, cylinder, cone, and sphere
Understanding how surface area differs from volume in terms of calculation and meaning
Applying formulas based on given dimensions like radius, height, and edge length
Working with curved and total surface areas in solids like cylinders and cones
Solving problems involving combinations of multiple solids in one figure
Managing unit conversions when dimensions are given in different formats
Explore the main topics covered in Chapter 12 Surface Areas and Volumes, to build a strong foundation for exams.
|
Topic |
Description |
|
Cube and Cuboid |
Deals with solids having flat rectangular or square faces. Surface area and volume depend on edge lengths. |
|
Cylinder |
A solid with circular base and curved surface. Calculations involve radius and height for both area and volume. |
|
Cone |
A tapered solid with a circular base. Includes slant height in surface area calculations. |
|
Sphere and Hemisphere |
Completely curved solids with no edges. Formulas depend only on radius. |
|
Combination of Solids |
Problems involve joining or removing parts of solids. Requires breaking the figure into known shapes. |
While practising questions from this chapter, keep your attention on:
Selecting the correct formula based on the type of solid given
Distinguishing between curved surface area and total surface area
Handling questions where multiple solids are combined or modified
Ensuring correct unit conversion before starting calculations
Avoiding calculation errors in multi-step volume problems
To ensure alignment with the latest CBSE guidelines and optimise your preparation, it is recommended to review the updated list of deleted topics for Class 10 Maths and focus only on the currently prescribed syllabus.
Strong preparation in Class 10 Maths requires a balance of concept clarity, regular practice, and consistent revision. Focusing on the right resources and practising in an exam-oriented manner can help improve both accuracy and confidence.
Build clear concepts across all topics:
Focus on understanding key concepts from the CBSE Class 10 Maths syllabus to solve different types of questions with confidence.
Practise NCERT questions thoroughly:
Solve all Class 10 Maths NCERT questions multiple times, as they form the base of board exam preparation.
Revise formulas and identities regularly:
Keep revising important formulas in Class 10 Maths to improve speed and reduce calculation errors.
Solve Previous Year Questions (PYQs):
Practising CBSE Class 10 Maths PYQs helps you understand exam patterns and frequently asked questions.
Attempt sample papers consistently:
Solve Class 10 Maths sample papers to improve time management and get familiar with the exam format.
Focus on important questions:
Practise Class 10 Maths Most Important Questions (MIQs) to cover high-weightage topics effectively.