Which Chapter Is Surface Area and Volume Class 9? Complete Guide
By ConceptScroll Team · Published on 19 June 2026 · 4 min read
If you are wondering which chapter is Surface Area and Volume Class 9, it is the important chapter in the NCERT Mathematics syllabus that deals with calculating surface areas and volumes of solids like cubes, cylinders, cones, and spheres. This chapter is crucial for your Class 9 exams and lays the foundation for geometry in higher classes.
Overview: Which Chapter Is Surface Area and Volume Class 9?
In the NCERT Class 9 Mathematics syllabus, Surface Areas and Volumes is a dedicated chapter that introduces students to the measurement of the outer surface and the space occupied by three-dimensional objects. This chapter plays a vital role in understanding real-world geometry and is essential for CBSE exams.
The chapter focuses on:
- Surface area: The total area covering the outside of a solid object
- Volume: The amount of space enclosed within the object
You will study various solids such as cubes, cuboids, cylinders, cones, spheres, and hemispheres. Each solid has specific formulas for calculating surface area and volume, which you will learn and apply through examples and exercises.
Key Concepts and Definitions in Surface Areas and Volumes
Before diving into calculations, it's important to understand the core concepts:
- Surface Area: The sum of areas of all the faces or curved surfaces of a solid. It is measured in square units (e.g., cm²).
- Lateral Surface Area: The area of the curved or side surfaces excluding the base(s).
- Total Surface Area (TSA): The sum of the lateral surface area and the areas of all bases.
- Volume: The capacity or space occupied by a solid, measured in cubic units (e.g., cm³).
Common solids covered include:
- Cube
- Cuboid
- Cylinder
- Cone
- Sphere
- Hemisphere
Each solid has unique surface area and volume formulas, which are essential to memorize and understand.
Want to test yourself on Surface Areas and Volumes? Try our free quiz →
Important Formulas for Surface Area and Volume of Solids
Here are the key formulas you must know for Class 9 Surface Areas and Volumes:
| 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 $l = \sqrt{h^2 + r^2}$ | $\frac{1}{3} \pi r^2 h$ |
| Sphere | $4\pi r^2$ | $\frac{4}{3} \pi r^3$ |
| Hemisphere | $3\pi r^2$ | $\frac{2}{3} \pi r^3$ |
Worked Example:
Calculate the volume of a cylinder with radius 7 cm and height 10 cm.
Using the formula:
$$ V = \pi r^2 h = \frac{22}{7} \times 7^2 \times 10 = 22 \times 7 \times 10 = 1540 \text{ cm}^3 $$
This chapter encourages practice of such problems to build confidence.
How to Approach NCERT Exercises in Surface Areas and Volumes
NCERT exercises in this chapter are designed to test your understanding of concepts and formulas. Here's how to approach them:
- Read the question carefully: Identify the solid involved and what is asked (surface area, volume, or both).
- Draw a diagram: Visualizing the solid helps in understanding the problem.
- Write down known values: List given measurements like radius, height, length, breadth.
- Choose the right formula: Based on the solid and what you need to find.
- Calculate step-by-step: Substitute values carefully and solve.
- Check units: Make sure your answer has correct units (cm² for area, cm³ for volume).
Consistent practice of NCERT problems will improve accuracy and speed, crucial for Class 9 exams.
Tips to Master Surface Areas and Volumes for Class 9 Exams
To excel in the Surface Areas and Volumes chapter, follow these tips:
- Understand, don’t memorize: Grasp why formulas work instead of rote learning.
- Practice diagrams: Drawing shapes aids memory and problem-solving.
- Revise formulas regularly: Keep a formula sheet handy for quick revision.
- Solve varied problems: Try both straightforward and word problems.
- Use NCERT textbook: It covers all exam-relevant topics and examples.
- Attempt sample papers: This builds exam confidence and time management.
Remember, this chapter forms the foundation for 3D geometry in higher classes, so a strong grasp is beneficial.
Frequently asked questions
Which chapter is Surface Area and Volume in Class 9 NCERT?
Surface Areas and Volumes is a dedicated chapter in Class 9 NCERT Mathematics syllabus.
What solids are covered in the Surface Areas and Volumes chapter?
The chapter covers cubes, cuboids, cylinders, cones, spheres, and hemispheres.
Why is this chapter important for Class 9 students?
It helps understand 3D geometry concepts and is important for CBSE exams.
What is the difference between lateral surface area and total surface area?
Lateral surface area excludes bases, while total surface area includes all surfaces.
How can I prepare well for Surface Areas and Volumes questions?
Practice NCERT exercises, memorize formulas, and understand concepts thoroughly.
Are there any formulas I must memorize for this chapter?
Yes, formulas for surface area and volume of common solids like cubes and cylinders are essential.
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