
CBSE Important Questions›

CBSE Previous Year Question Papers›
 CBSE Previous Year Question Papers
 CBSE Previous Year Question Papers Class 12
 CBSE Previous Year Question Papers Class 10

CBSE Revision Notes›

CBSE Syllabus›

CBSE Extra Questions›

CBSE Sample Papers›
 CBSE Sample Papers
 CBSE Sample Question Papers For Class 5
 CBSE Sample Question Papers For Class 4
 CBSE Sample Question Papers For Class 3
 CBSE Sample Question Papers For Class 2
 CBSE Sample Question Papers For Class 1
 CBSE Sample Question Papers For Class 12
 CBSE Sample Question Papers For Class 11
 CBSE Sample Question Papers For Class 10
 CBSE Sample Question Papers For Class 9
 CBSE Sample Question Papers For Class 8
 CBSE Sample Question Papers For Class 7
 CBSE Sample Question Papers For Class 6

ISC & ICSE Syllabus›

ICSE Question Paper›
 ICSE Question Paper
 ISC Class 12 Question Paper
 ICSE Class 10 Question Paper

ICSE Sample Question Papers›
 ICSE Sample Question Papers
 ISC Sample Question Papers For Class 12
 ISC Sample Question Papers For Class 11
 ICSE Sample Question Papers For Class 10
 ICSE Sample Question Papers For Class 9
 ICSE Sample Question Papers For Class 8
 ICSE Sample Question Papers For Class 7
 ICSE Sample Question Papers For Class 6

ICSE Revision Notes›
 ICSE Revision Notes
 ICSE Class 9 Revision Notes
 ICSE Class 10 Revision Notes

ICSE Important Questions›

Maharashtra board›

RajasthanBoard›
 RajasthanBoard

Andhrapradesh Board›
 Andhrapradesh Board
 AP Board Sample Question Paper
 AP Board syllabus
 AP Board Previous Year Question Paper

Telangana Board›

Tamilnadu Board›

NCERT Solutions Class 12›
 NCERT Solutions Class 12
 NCERT Solutions Class 12 Economics
 NCERT Solutions Class 12 English
 NCERT Solutions Class 12 Hindi
 NCERT Solutions Class 12 Maths
 NCERT Solutions Class 12 Physics
 NCERT Solutions Class 12 Accountancy
 NCERT Solutions Class 12 Biology
 NCERT Solutions Class 12 Chemistry
 NCERT Solutions Class 12 Commerce

NCERT Solutions Class 10›

NCERT Solutions Class 11›
 NCERT Solutions Class 11
 NCERT Solutions Class 11 Statistics
 NCERT Solutions Class 11 Accountancy
 NCERT Solutions Class 11 Biology
 NCERT Solutions Class 11 Chemistry
 NCERT Solutions Class 11 Commerce
 NCERT Solutions Class 11 English
 NCERT Solutions Class 11 Hindi
 NCERT Solutions Class 11 Maths
 NCERT Solutions Class 11 Physics

NCERT Solutions Class 9›

NCERT Solutions Class 8›

NCERT Solutions Class 7›

NCERT Solutions Class 6›

NCERT Solutions Class 5›
 NCERT Solutions Class 5
 NCERT Solutions Class 5 EVS
 NCERT Solutions Class 5 English
 NCERT Solutions Class 5 Maths

NCERT Solutions Class 4›

NCERT Solutions Class 3›

NCERT Solutions Class 2›
 NCERT Solutions Class 2
 NCERT Solutions Class 2 Hindi
 NCERT Solutions Class 2 Maths
 NCERT Solutions Class 2 English

NCERT Solutions Class 1›
 NCERT Solutions Class 1
 NCERT Solutions Class 1 English
 NCERT Solutions Class 1 Hindi
 NCERT Solutions Class 1 Maths

JEE Main Question Papers›

JEE Main Syllabus›
 JEE Main Syllabus
 JEE Main Chemistry Syllabus
 JEE Main Maths Syllabus
 JEE Main Physics Syllabus

JEE Main Questions›
 JEE Main Questions
 JEE Main Maths Questions
 JEE Main Physics Questions
 JEE Main Chemistry Questions

JEE Main Mock Test›
 JEE Main Mock Test

JEE Main Revision Notes›
 JEE Main Revision Notes

JEE Main Sample Papers›
 JEE Main Sample Papers

JEE Advanced Question Papers›

JEE Advanced Syllabus›
 JEE Advanced Syllabus

JEE Advanced Mock Test›
 JEE Advanced Mock Test

JEE Advanced Questions›
 JEE Advanced Questions
 JEE Advanced Chemistry Questions
 JEE Advanced Maths Questions
 JEE Advanced Physics Questions

JEE Advanced Sample Papers›
 JEE Advanced Sample Papers

NEET Eligibility Criteria›
 NEET Eligibility Criteria

NEET Question Papers›

NEET Sample Papers›
 NEET Sample Papers

NEET Syllabus›

NEET Mock Test›
 NEET Mock Test

NCERT Books Class 9›
 NCERT Books Class 9

NCERT Books Class 8›
 NCERT Books Class 8

NCERT Books Class 7›
 NCERT Books Class 7

NCERT Books Class 6›
 NCERT Books Class 6

NCERT Books Class 5›
 NCERT Books Class 5

NCERT Books Class 4›
 NCERT Books Class 4

NCERT Books Class 3›
 NCERT Books Class 3

NCERT Books Class 2›
 NCERT Books Class 2

NCERT Books Class 1›
 NCERT Books Class 1

NCERT Books Class 12›
 NCERT Books Class 12

NCERT Books Class 11›
 NCERT Books Class 11

NCERT Books Class 10›
 NCERT Books Class 10

Chemistry Full Forms›
 Chemistry Full Forms

Biology Full Forms›
 Biology Full Forms

Physics Full Forms›
 Physics Full Forms

Educational Full Form›
 Educational Full Form

Examination Full Forms›
 Examination Full Forms

Algebra Formulas›
 Algebra Formulas

Chemistry Formulas›
 Chemistry Formulas

Geometry Formulas›
 Geometry Formulas

Math Formulas›
 Math Formulas

Physics Formulas›
 Physics Formulas

Trigonometry Formulas›
 Trigonometry Formulas

CUET Admit Card›
 CUET Admit Card

CUET Application Form›
 CUET Application Form

CUET Counselling›
 CUET Counselling

CUET Cutoff›
 CUET Cutoff

CUET Previous Year Question Papers›
 CUET Previous Year Question Papers

CUET Results›
 CUET Results

CUET Sample Papers›
 CUET Sample Papers

CUET Syllabus›
 CUET Syllabus

CUET Eligibility Criteria›
 CUET Eligibility Criteria

CUET Exam Centers›
 CUET Exam Centers

CUET Exam Dates›
 CUET Exam Dates

CUET Exam Pattern›
 CUET Exam Pattern
The Indian Certificate of Secondary Education (ICSE) is a wellrenowned and prestigious board in India. For students who are planning on getting their collegiate and professional degrees from foreign universities, ICSE is appropriate for them. The board has great topics in its syllabus that are closely following foreign universities and therefore, the entirety of their syllabus is based largely on the international curriculum. ICSE is well known for its vast syllabus and students must prepare before exams. The ICSE syllabus puts a lot of emphasis on the core subjects and these subjects are not merged, unlike other boards. The vast and extensive syllabus can be dealt with ICSE Class 9 Mathematics Revision Notes Chapter 21 by the students and they need not carry the burden of preparing notes since it has already been done by the subject experts .
Mathematics is a core subject and the student has to be well versed and familiar with the question patterns, the formulas, and the different types of numerical problems. . Extramarks, therefore, released the ICSE Class 9 Mathematics Revision Notes Chapter 21 which will aid students with the ICSE Solutions which completely corresponds to the ISC & ICSE Syllabus. These notes are compiled and curated by the Extramarks subject experts in communication with the top academics which ensures that the ICSE Class 9 Mathematics Revision Notes Chapter 21 can be a great resource for the students which they can’t say no to!.
Revision Notes for ICSE Class 9 Mathematics Chapter 21 – Free PDF Download
According to educators across the country who have been dealing with the ICSE syllabus for years, regularly revising the chapters before the exam is the most effective way to perform well in the Mathematics exam. Mathematics is a subject where scoring high is not extremely difficult, therefore teachers advise practising it religiously because that can improve the final percentage of student scores significantly. . The ICSE Class 9 Mathematics Revision Notes Chapter 21 is such a savior here.
It has been observed by candidates and educators that there is a pattern in the ICSE Important Questions where they often merge two different topics and thus, selective learning could be counterproductive. It is widely recommended that students should consistently practice and know their weak areas to get a high score. . Therefore, the ICSE Class 9 Mathematics Revision Notes Chapter 21 provides a detailed analysis of Chapter 21. The best way for a students to get excellent grades in Mathematics is by revising and practising daily. Nothing happens overnight. It is the gradual and consistent effort made every single day that can bring positive results. There is no shortcut to it. Make use of revision notes to step your preparation.The ICSE Class 9 Mathematics Revision Notes Chapter 21 are a compilation of wellcurated resources, which contains all the formulas and axioms provided in the chapter. In addition to this, there are a plethora of solved problems compiled by referring to the ICSE Sample Question Papers, ICSE Important Questions, and past years’ ICSE Question Paper.
Introduction to the Chapter
Chapter 21 of the syllabus primarily discussed twodimensional figures and how to calculate their area and perimeter but in the next chapter Solids, as seen in the ICSE Class 9 Mathematics Revision Notes Chapter 21 the students are to learn about threedimensional objects. In the introduction of the chapter, students acquire a new set of mathematical vocabulary. There are, as in the previous chapter, mainly two different types of numerical problemsPictorial and Word Problems. Then the chapter moves on to the practical implementation of this chapter such as calculating the cost of painting a room shaped like a cuboid or putting up wallpapers just on the walls of a room shaped like a cube. Students then finally learn about calculating the crosssection of a body and how that can be used to calculate and measure the surface area , the volume, or the rate of flow of any liquid.
Topics Covered in ICSE Mathematics Chapter 21 of Mathematics
As seen in the ICSE Class 9 Mathematics Revision Notes Chapter 21, it falls under the Mensuration section of the syllabus. Students in this chapter learn about new quantities that are used regularly in real life and the ICSE Class 9 Mathematics Revision Notes Chapter 21 has all the formulas and their derivation very clearly mentioned in it. . The quantities are – Total Surface Area, Lateral Surface Area, Volume, and calculating the diagonal of a thirddimensional body. There are various formulas cumulatively and the ICSE Class 9 Mathematics Revision Notes Chapter 21 has included all of them presented with great clarity for every student irrespective of their intelligence level. Everyone can make use of these notes . Therefore, the ICSE Revision notes are highly beneficial for every student.
Chapter wise ICSE Class 9 Math Revision Notes
FAQs (Frequently Asked Questions)
1. How can students improve their preparation for Chapter 21 before their final exam?
Chapter 21 can be really easy to prepare for before the final exam if the students utilise the appropriate resources. The problem that causes so much apprehension among students is the lengthy chapter with too many exercises, formulas, graded questions, new concepts and so on. If a student make concious effort to study every topic and practices regularly they can understand better. Once they are done with the whole chapter, it is highly advisable to go through the ICSE Class 9 Mathematics Revision Notes Chapter 21 for an effective revision.
2. Is it necessary to draw the diagram in every question while solving each sum?
Drawing a diagram for each sum in this chapter is not always necessary, but it is often recommended by experts that drawing a diagram greatly aids in problemsolving. Diagrams are used to envision the shape clearly and Mensuration is all about using your imagination. Drawing diagrams for every sum has also been observed to reduce avoidable mistakes in this chapter. What can be observed in the ICSE Class 9 Mathematics Revision Notes Chapter 21 is how much weightage this chapter holds and therefore everything that has been discussed can be great advice.