Which Chapter Is Surface Area and Volume Class 9? Complete Guide
By ConceptScroll Team · Published on 19 June 2026 · 4 min read
The chapter on Surface Areas and Volumes is a vital part of the Class 9 NCERT Mathematics syllabus. It teaches students how to calculate the surface area and volume of various 3D shapes, helping build strong geometry skills essential for exams and real-life applications.
Overview: Which Chapter Is Surface Area and Volume Class 9?
In the NCERT Class 9 Mathematics textbook, Surface Areas and Volumes is Chapter 13. This chapter focuses on understanding 3D shapes and calculating their surface areas and volumes. It builds on the geometry concepts learned in earlier classes and introduces practical applications such as measuring objects and packaging.
Students learn to work with solids like cubes, cuboids, cylinders, cones, and spheres. Mastery of this chapter is crucial for scoring well in CBSE exams and developing spatial reasoning skills.
Key Concepts Covered in Surface Areas and Volumes
This chapter covers several important concepts:
- Surface Area: The total area covering the outside of a 3D object.
- Lateral Surface Area: The area of the sides excluding the base(s).
- Volume: The amount of space inside a 3D object.
The chapter explains how to calculate these for various solids:
- Cube and Cuboid
- Cylinder
- Cone
- Sphere and Hemisphere
Students also learn to convert units and apply formulas in real-life problems.
Want to test yourself on Surface Areas and Volumes? Try our free quiz →
Important Formulas for Surface Area and Volume in Class 9
Here are the essential formulas you must remember:
| Solid | Surface Area (SA) | Volume (V) |
|---|---|---|
| Cube | $6a^2$ | $a^3$ |
| Cuboid | $2(lb + bh + hl)$ | $lbh$ |
| Cylinder | $2\pi r(h + r)$ | $\pi r^2 h$ |
| Cone | $\pi r(l + r)$ (where $l$ is slant height) | $\frac{1}{3} \pi r^2 h$ |
| Sphere | $4\pi r^2$ | $\frac{4}{3} \pi r^3$ |
Note: $a$ = side of cube, $l$ = length, $b$ = breadth, $h$ = height, $r$ = radius.
Worked Example: Calculate the volume of a cylinder with radius 7 cm and height 10 cm.
$$ V = \pi r^2 h = \pi \times 7^2 \times 10 = 1540 \text{ cm}^3 $$
This formula application is common in Class 9 exercises.
Tips to Master Surface Areas and Volumes Chapter
To excel in this chapter, follow these tips:
- Understand each formula instead of memorizing.
- Draw neat diagrams to visualize solids.
- Practice NCERT solved examples thoroughly.
- Attempt all exercise questions at the end of the chapter.
- Review units carefully to avoid mistakes.
- Use stepwise calculations to keep track of your work.
Regular practice improves speed and accuracy, essential for CBSE exams.
Common Mistakes to Avoid in Surface Areas and Volumes
Students often make these errors:
- Confusing lateral surface area with total surface area.
- Forgetting to convert units before calculations.
- Mixing up radius and diameter values.
- Incorrectly calculating slant height in cones.
- Skipping steps in volume calculations.
Avoid these by revising formulas and solving varied problems carefully.
How Surface Areas and Volumes Chapter Helps in Exams and Beyond
This chapter is important for CBSE Class 9 exams as it tests your understanding of geometry and measurement. Questions often ask for:
- Surface area or volume of a given solid.
- Real-life application problems involving packaging or filling.
- Comparing volumes or surface areas of different solids.
Beyond exams, these concepts apply in fields like engineering, architecture, and everyday problem-solving involving space and measurement.
Frequently asked questions
Which chapter is surface area and volume in Class 9 NCERT Maths?
Surface Areas and Volumes is Chapter 13 in the Class 9 NCERT Mathematics textbook.
What are the main topics in the Surface Areas and Volumes chapter?
Key topics include surface area, lateral surface area, volume of cubes, cuboids, cylinders, cones, and spheres.
How can I remember formulas for surface area and volume easily?
Understand the shape properties, use diagrams, and practice solving many problems regularly.
Are surface area and volume formulas important for CBSE exams?
Yes, they are frequently asked in Class 9 CBSE exams and carry significant marks.
Can I apply surface area and volume concepts in real life?
Absolutely! These concepts help in packaging, construction, and measuring liquids or solids.
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