13. Surface Areas and Volumes - Class 9 Mathematics English CBSE Notes
CBSE Notes for Class 9 are one of the most useful study resources for students who want to understand every chapter clearly and perform well in school examinations. At ATP Education, we provide carefully prepared chapter-wise CBSE Notes for Class 9 based on the latest CBSE syllabus and NCERT curriculum. These notes are designed to simplify learning, improve conceptual understanding, and help students revise important topics quickly before examinations.
CBSE Notes for Class 9 – Chapter-wise Revision Notes
Every chapter is explained in a simple and student-friendly manner so that learners can understand difficult concepts without confusion. Whether you are preparing for class tests, periodic assessments, half-yearly examinations, annual examinations, or board-oriented assessments, our Class 9 CBSE Notes help you revise the complete syllabus in less time while covering all the important concepts.
13. Surface Areas and Volumes - Class 9 Mathematics English CBSE Notes
13. Surface Areas and Volumes
Additional -Questions With Solutions
Q1. A cube and cuboid have same volume. The dimenstions of the cuboid are in the ratio 1 : 2: 4. if the difference between the cost of polishing the cube and cuboid at the rate of Rs. 5 per m2 is 80, find their volumes.
Ans: 64 m3
Q2. The sum of length, breadth and depth of a cuboid is 19 cm and the length of the diagonal in 11 cm. Find the surface area of the cuboid.
Ans: 240 cm2
Q3. The ratio of the curved surface area to the total surface area of a right circular cylinder is 1: 3. Find the volume of the cylinder if its total surface area is 1848 cm2.
Ans: 4312 cm3
Q4. The cost of papering four walls of a room at Rs. 1.50 per square meter is Rs. 337.50. The height of the room is 5 m. Find the length and breadth of the room if they are in the ratio 4 : 1.
Ans: l = 18 m, b= 4.5
Q5. Circumference of the base of a cylinder open at top is 132 cm. The sum of radius and height of the cylinder 41 cm. FInd the cost of polishing the outer surface of cylinder at rate of Rs. 10 per square metre.
Ans: Rs. 4.026
Q6. The total surface area of a right circular cylinder is 6512 cm2, and the circumference of its base is 88 cm, find the volume of the cylinder.
Ans: 36960 cm3
Q7. The areas of three adjacent faces of a cuboid are 108 cm2, 72 cm2 and 96 cm2 respectively. Find the volume of the cuboid. Also find the dimensions of the cuboid.
Ans: Volume = 864 cm2, dimensions 12 cm x 9 cm x 8 cm
Q8. A right circular cone is 5.4 cm high and radius of its base is 2 cm. It is melted and recast into another right circular cone with radius of base as 1.5 cm. Find the height of the new cone formed.
Ans: 9.6 cm
Q9. The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is 301.44 cm3, find its radius and slaint height. [take π = 3.14]
Ans: Radius : 6 cm, height = 10 cm
Q10. Four cubes each of side 5 cm are joined end to end. Find surface area of resultant cuboid.
Ans: 450 cm2
Q11. A hemispherical dome of a building needs to be painted. If the circumference of the base of dome is 17.6 m, find the cost of painting it, at the rate of 5 per 100 cm2.
Ans: Rs. 24640
Q12. The difference between outsite and inside surfaces of cylinderical metallic pipe 14 cm ling is 44 cm2. If a pipe is made of 99 cm3 of metal, find the outer and inner radii of the pipe.
Ans: R = 2.5 cm, r = 2 cm
Q13. If in a sphere, volume and surface area are numerically equal, find the radius.
Ans: r = 3 units
Q14. Rain water which falls on a flat rectangular surface of length 6 m and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm. What will be height of water in the cylinderical vessel if the rainfall is 1 cm ? Give naswer to the nearest whole number. [use π = 3.14]
Ans: 192 cm
Q15.
Q16.
Q17.
Q18.
Q19.
Q20.
13. Surface Areas and Volumes
This Page is under construction.
This will be published soon.
Jaust wait ...................
13. Surface Areas and Volumes
This Page is under construction.
This will be published soon.
Jaust wait ...................
13. Surface Areas and Volumes
This Page is under construction.
This will be published soon.
Jaust wait ...................
13. Surface Areas and Volumes
This Page is under construction.
This will be published soon.
Jaust wait ...................
Why Choose CBSE Notes for Class 9?
Reading the complete textbook is essential for building knowledge, but revision notes help students organize that knowledge effectively. Our CBSE Revision Notes for Class 9 summarize every chapter by highlighting important concepts, definitions, keywords, formulas, examples, and important points that students should remember during examinations. This approach saves valuable study time and makes revision much easier.
Students often find it difficult to revise lengthy chapters before examinations. Our notes solve this problem by presenting important information in a structured format that is easy to understand and remember. Regular revision using these notes helps improve confidence and strengthens conceptual clarity.
Chapter-wise Study Material
Each chapter included in the CBSE Notes for Class 9 section is prepared according to the latest academic session. Every topic is explained in simple language while maintaining accuracy and completeness. Students can easily revise important concepts, learn key points, and strengthen their understanding of each chapter.
The notes are suitable for daily classroom learning, homework preparation, revision before examinations, and self-study. They also serve as an excellent companion to NCERT textbooks by presenting the most important information in an organized manner.
Explore CBSE Notes Class 9 Mathematics
Chapter-wise NCERT Solutions for Class 6 to 12 prepared according to the latest CBSE syllabus.
English Medium
CBSE Notes Class 9
Chapter 3. Coordinate Geometry (CBSE NOTES)
3. Coordinate Geometry ()
Explore Now →
CBSE Notes Class 9
Chapter 4. Linear Equation In Two Variables (CBSE NOTES)
4. Linear Equation In Two Variables ()
Explore Now →
CBSE Notes Class 9
Chapter 5. Introduction To Euclid’s Geometry (CBSE NOTES)
5. Introduction To Euclid’s Geometry ()
Explore Now →
CBSE Notes Class 9
Chapter 9. Area Parallelograms and Triangles (CBSE NOTES)
9. Area Parallelograms and Triangles ()
Explore Now →
CBSE Notes Class 9
Chapter 13. Surface Areas and Volumes (CBSE NOTES)
13. Surface Areas and Volumes ()
Explore Now →
Benefits of Using ATP Education Notes
- Latest CBSE syllabus based notes.
- Chapter-wise revision material.
- Easy-to-understand explanations.
- Important concepts and key points.
- Quick revision before examinations.
- Useful for school tests and annual exams.
- Available in Hindi and English Medium.
- Free educational resources for every student.
Your CBSE Notes Library Class 9:
Chapter-wise CBSE Notes for Class 6 to 12 prepared according to the latest CBSE syllabus.
HINDI MEDIUM
Your CBSE Notes Library For Class 9
Chapter-wise CBSE Notes for Class 6 to 12 prepared according to the latest CBSE syllabus.
ENGLISH MEDIUM
Prepare with Confidence
Success in examinations depends on regular practice, conceptual understanding, and effective revision. Our Class 9 CBSE Notes are designed to help students study smarter instead of studying longer. By revising chapter-wise notes regularly, learners can improve their understanding, remember important concepts for a longer period, and write better answers during examinations.
Along with these notes, students can also explore NCERT Solutions, MCQ Questions, Online Tests, Important Questions, Study Materials, and other learning resources available on ATP Education. Together, these resources provide complete academic support for effective learning and better examination preparation.
Start exploring the CBSE Notes for Class 9 today and make your learning journey easier with well-organized chapter-wise notes, quick revision material, and reliable study resources prepared especially for CBSE students.
Benefits of Studying with Our CBSE Notes
- Chapter-wise Coverage: Every chapter is explained in a structured and easy-to-follow format.
- Latest CBSE Syllabus: Notes are prepared according to the latest CBSE curriculum and NCERT guidelines.
- Quick Revision: Revise important concepts, formulas, definitions, and key points in less time.
- Simple Language: Difficult topics are explained in clear and student-friendly language for better understanding.
- Concept-Based Learning: Focus on understanding concepts instead of memorizing answers.
- Exam-Oriented Preparation: Helps students prepare effectively for class tests, unit tests, half-yearly, annual, and board examinations.
- Subject-wise Organization: Easily access notes for Mathematics, Science, English, Hindi, Social Science, Physics, Chemistry, Biology, Economics, and more.
- Time-Saving Study Material: Well-organized notes reduce study time and improve learning efficiency.
- Improves Answer Writing: Learn important points and present answers in a better and more organized manner.
- Boosts Confidence: Regular revision strengthens concepts and increases confidence before examinations.
- Free Learning Resource: Access high-quality CBSE Notes without any subscription or hidden charges.
- Available in Hindi & English Medium: Study comfortably in your preferred medium with chapter-wise notes.
