What is the Weightage of Surface Area and Volume Class 10 in Mathematics?
By ConceptScroll Team · Published on 19 June 2026 · 4 min read
The weightage of surface area and volume class 10 in CBSE Mathematics typically ranges from 8 to 10 marks. This chapter covers essential formulas and concepts related to 3D shapes, making it crucial for exam success.
Understanding the Weightage of Surface Area and Volume in Class 10
In the Class 10 NCERT Mathematics syllabus, the chapter on Surface Areas and Volumes is an important unit. It generally holds a weightage of around 8 to 10 marks in the CBSE board exams. This means that out of the total 80 marks in your Maths paper, surface area and volume questions can contribute significantly to your score.
The questions can be in the form of short answers, long answers, or application-based problems involving real-life objects like cylinders, cones, spheres, cubes, and cuboids. Knowing the weightage helps students allocate sufficient study time and focus on mastering this chapter.
Key Concepts and Definitions in Surface Areas and Volumes
Before diving into solving problems, it is essential to understand the basic definitions:
- Surface Area: The total area covered by the surface of a 3D object.
- Lateral Surface Area: The area excluding the base(s) of the object.
- Volume: The space enclosed within a 3D object.
Common 3D shapes studied in this chapter include:
- Cube
- Cuboid
- Cylinder
- Cone
- Sphere
Each shape has specific formulas for surface area and volume, which students must memorize and understand to apply correctly.
Want to test yourself on Surface Areas and Volumes? Try our free quiz →
Important Formulas for Surface Area and Volume in Class 10
Here are the key formulas you should know for the main 3D shapes:
| Shape | 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 | $\pi r(l + r)$ (l = 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:
Find the volume of a cylinder with radius 7 cm and height 10 cm.
$$V = \pi r^2 h = \frac{22}{7} \times 7^2 \times 10 = 1540\, \text{cm}^3$$
How to Prepare for Surface Areas and Volumes Questions in Class 10 Exams
To score well in this chapter, follow these tips:
- Master the formulas: Write them down and revise regularly.
- Practice NCERT examples: They cover most question types.
- Draw diagrams: Visualizing shapes helps understand problems better.
- Solve exercise problems: Attempt all questions at the end of the chapter.
- Understand concepts: Know why formulas work, not just how.
- Time management: Allocate 15-20 minutes during exams for this chapter.
Consistent practice and clarity in concepts will help you tackle both straightforward and application-based questions confidently.
Comparison of Surface Area and Volume Concepts
Understanding the difference between surface area and volume is crucial:
| Aspect | Surface Area | Volume |
|---|---|---|
| Definition | Total area covering the shape's surface | Space enclosed inside the shape |
| Unit | Square units (cm², m²) | Cubic units (cm³, m³) |
| Application | Painting, wrapping, covering | Filling, capacity, storage |
| Formula involves | Areas of faces or curved surfaces | Product of dimensions or integral of cross-sectional areas |
Knowing this distinction helps in solving problems correctly and choosing the right formula.
Role of Surface Areas and Volumes in Real-Life Applications
Surface area and volume concepts are not just academic; they have practical uses:
- Packaging industry: Designing boxes and containers requires surface area and volume calculations.
- Construction: Calculating paint needed for walls (surface area) or concrete volume for pillars.
- Manufacturing: Volume helps in determining material quantity.
- Science and Engineering: Understanding shapes and capacities of vessels.
This chapter equips Class 10 students with the skills to apply mathematical reasoning in everyday scenarios.
Frequently asked questions
What is the weightage of surface area and volume in Class 10 Maths?
It generally carries 8 to 10 marks in the CBSE Class 10 Mathematics exam.
Which shapes are covered under surface areas and volumes in Class 10?
Cubes, cuboids, cylinders, cones, and spheres are the main shapes studied.
How can I improve my score in surface area and volume questions?
Practice NCERT exercises, memorize formulas, and understand concepts deeply.
Are diagrams important for solving surface area and volume problems?
Yes, drawing diagrams helps visualize and solve problems accurately.
Is memorizing formulas enough to score well in this chapter?
No, understanding the derivation and application of formulas is essential.
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