An Overview of Cbse Class 8 Maths Notes Chapter 9
Perimeter: A simple closed figure's perimeter is the length of its boundary.
Rectangle$=2\left( l+b \right)$
Square$=4a$
Parallelogram$=2$(sum of adjacent sides)
Area: The size of a territory encompassed in a simple closed figure is referred to as its area.
The area of a trapezium is equal to half of the sum of the parallel sides' lengths divided by the perpendicular distance between them.
\[\begin{align} & \text{Area of a rhombus = half the product of its diagonals}\text{. }\!\!~\!\!\text{ } \\& \text{Triangle = }\dfrac{1}{2}\text{ }\!\!~\!\!\text{ }\times \text{ base }\times \text{ height }\!\!~\!\!\text{ } \\ \end{align}\]
Diagonal of:
Rectangle$=\sqrt{{{l}^{2}}+{{b}^{2}}}$
Square$=\sqrt{2a}$
A solid's surface area is equal to the sum of its face areas.
Surface area of cuboid \[\text{=2}\left( lb+bh+lh \right)\]
Surface area of cube $=6{{l}^{2}}$
Surface area of a cylinder $=2\pi r\left( r+h \right)$
The volume of a solid is the amount of space it takes up.
Volume of
a cuboid $=l\times b\times h$
a cube $={{l}^{3}}$
a cylinder $=\pi {{r}^{2}}h$
Few basic measurements value are as follows:
$\left( i \right)1c{{m}^{3}}=1mL$
$\left( ii \right)1L=1000c{{m}^{3}}$
$\left( iii \right)1{{m}^{3}}=1000000c{{m}^{3}} $
$=1000L$
Download Maths Class 8 Mensuration Notes - Free PDF
Vedantu is an online platform that initiates to provide free Revision Notes Maths Class 8 Chapter 9 and other study material for students. These can be easily downloaded and students can easily use it as future reference. Class 8 Chapter 9 will become quite easy for you to study if you refer to Mensuration Class 8 Chapter 9 NCERT Solutions along with Mensuration Class 8 Notes provided by Vedantu.
Maths Class 8 Mensuration Notes offered by Vedantu is important for aspiring students who are aiming to score top marks in their examination. This revision notes Class 8 Maths Chapter 9 will help you in preparing for your upcoming Class 8 examination as well as other competitive exams like Olympiad. Opt for Maths Class 8 Mensuration notes online to learn about various shortcut techniques that help you to solve numerical questions in a step by step manner.
Download revision notes Class 8 Maths Chapter 9 free PDF just with a single click on the PDF link given below and gain access anytime and anywhere at your convenience. Mastering the revision notes will help you get an idea about the type of questions and time required to solve the questions given in Chapter 9 Mensuration. This will enable you to improve your performance and understanding of the chapter.
A Quick Glimpse of Class 8 Chapter 9 Mensuration
This chapter 9 titled Mensuration introduces you with different geometrical figures and their parameters like perimeter, area, surface area, length, volume, lateral surface area, etc. In your previous classes, you must have learned that for a close figure, the perimeter is defined as the distance around its boundary and the area of the closed figure is the region covered by it. You must have also learned to calculate the area and perimeter of different plane figures such as circles, triangles, rectangles, etc. You must also be aware of the formulas used to calculate the area of pathways or borders in a rectangular shape.
In this chapter Mensuration, you will learn to find the perimeter and area of other closed figures such as Quadrilateral. You will also learn to find the surface area and volume of solids such as a cube, cuboid, and cylinder.
Students should have clarity on the important formulas and concepts of Mensuration so that they do not face any issues in solving the numerical questions related to Mensuration in their CBSE Class 8 exams.
Topics and Subtopics Covered in Chapter 9 Mensuration
Here, you can find the list of the topics and subtopics covered in Chapter 9 Mensuration.
(Table will be updated soon)
Mensuration Important Formulas
Some important Mensuration formulas are discussed below:
Area of Trapezium
½ of the sum of the length of parallel sides * Perpendicular distance between them.
Surface Area of Cuboid - 2 (LB + BH + HL) or 2 (Length * Breadth + Breadth * Height + Length * Height )
Surface Area of Cube - 6 * side²
Surface Area of Cylinder - 2radius ( radius + height)
Volume of Cuboid - LBH or (Length * Breadth * Height)
Volume of Cube - Side³
Volume of Cylinder - πr²h
In the above formula
H - Height of cylinder
To get a detailed view of this chapter, download our latest Class 8 Maths revision notes Chapter 9 free PDF. This free PDF will help you to understand all the important concepts related to Mensuration and solve all your doubts regarding the chapter.
Key Highlights of CBSE Class 8 Maths Revision Notes Chapter 9
Some of the key highlights of CBSE Class 8 Maths revision notes Chapter 9 are discussed below:
1. Clear Understanding, Practice, and Revision: Easily grasp, practice, and revise essential concepts of Chapter 9 with these revision notes for Class 8 Maths.
2. Crisp and Precise Coverage: The revision notes succinctly define important topics, providing a clear and concise understanding.
3. Time-Saving Resource: Save valuable time by accessing all key concepts and formulas in a well-organized sequence in the Maths Class 8 Mensuration notes.
4. Effective Problem Solving Tips: Vedantu's Mensuration notes offer important tips for solving numerical questions efficiently, enhancing problem-solving skills.
5. Expert-Written and Structured: Crafted by subject experts at Vedantu, these notes are neatly structured, making learning attractive and simpler for students.
Conclusion
For an enhanced comprehension of this subject, NCERT - Class 8 Maths Chapter 9 - Mensuration thoughtfully prepared by experienced educators at Vedantu is your invaluable companion. These notes break down the complexities of Mensuration into easily digestible sections, helping you grasp new concepts, master formulas, and navigate through questions effortlessly quickly in the last minute as well. By immersing yourself in these notes, you not only prepare for your studies more efficiently but also develop a profound understanding of the subject matter.
Related Study Materials for Maths Class 8 Chapter 9 Mensuration
Revision Notes Links For Class 8 Maths Revision Notes
CBSE Class 8 Maths Study Materials
FAQs on Cbse Class 8 Maths Notes Chapter 9
1. What are the key concepts included in Class 8 Mensuration revision notes as per CBSE 2025-26 syllabus?
Mensuration Class 8 Notes focus on the calculation of perimeter, area, surface area, and volume of various plane and solid figures such as rectangles, squares, triangles, parallelograms, trapeziums, cubes, cuboids, and cylinders. These notes also include important formulas, differences between area and perimeter, and conversion between measurement units.
2. How can students use Class 8 Mensuration revision notes for quick and effective chapter recap?
Students can make quick summaries of key formulas and theorems, create a concept map to link topics like perimeter, area, and volume, and regularly revise solved examples to reinforce understanding. Focusing on essential formulas and practicing variety of solved questions helps in better retention and application during exams.
3. What is the easiest way to differentiate between area and perimeter while revising Class 8 Mensuration?
The perimeter is the total length around a closed figure's boundary, measured in linear units. The area is the amount of surface covered by the figure, measured in square units. Remember: perimeter = boundary length, area = surface covered.
4. What are the most important formulas to remember in Class 8 Mensuration for revision?
- Area of Rectangle = length × breadth
- Perimeter of Rectangle = 2 × (length + breadth)
- Area of Square = (side)2
- Perimeter of Square = 4 × side
- Area of Parallelogram = base × height
- Area of Triangle = ½ × base × height
- Area of Rhombus = ½ × product of diagonals
- Area of Trapezium = ½ × (sum of parallel sides) × height
- Surface Area of Cube = 6 × (side)2
- Volume of Cuboid = length × breadth × height
- Volume of Cylinder = π × (radius)2 × height
5. Why is it important to revise estimation and unit conversions in Mensuration Chapter 9?
Estimation and unit conversions are crucial because exam questions often require converting between units like cm2 and m2 or cm3 and liters. Practicing these helps prevent common mistakes and aids accurate calculation of areas and volumes as per the 2025-26 CBSE exam requirements.
6. How can concept mapping help in revising Chapter 9 Mensuration for Class 8 exams?
Concept mapping enables students to visually connect related topics such as types of figures, their properties, relevant formulas, and typical problems. This method helps in faster recall during exams and a deeper understanding of how different part of mensuration relate to each other.
7. What common mistakes should be avoided while revising and solving Mensuration questions?
- Mixing up area and perimeter formulas.
- Using incorrect units or failing to convert units properly.
- Forgetting to use height perpendicular to the base in area calculations.
- Overlooking the need for all lengths to be in the same unit before calculation.
8. What types of questions can be expected from Chapter 9 Mensuration in final exams as per CBSE patterns?
Typical questions include direct formula-based problems, word problems involving application (like finding area or volume in real-life contexts), and conceptual questions such as justifying the difference between area and perimeter or explaining why certain formulas are used for specific shapes.
9. How should students structure their last-minute revision for Class 8 Mensuration?
For last-minute revision, students should focus on:
- Writing down and practicing all essential formulas.
- Solving sample numerical questions covering each figure.
- Reviewing unit conversions quickly.
- Identifying and correcting previously made mistakes through mock test analysis.
10. What is the significance of understanding Mensuration basics for Class 8 and higher studies?
Mastering the basics of Mensuration is essential as it serves as the foundation for higher-level geometry, real-life problem-solving (such as estimating paint required or space available), and advanced mathematics in Classes 9 and beyond. It also helps in competitive exams and practical life situations involving measurements.
