Find the best tutors and institutes for Class 9 Tuition
Learn Surface area and volume of cube, cuboid, cylinder, cone and sphere
Welcome to the fascinating world of 3D geometry in CBSE Class 9 Mathematics! As you dive into the chapter on Surface Areas and Volumes, you will transition from 2D flat shapes to realistic, 3D objects that exist in our daily lives. Think about wrapping a gift box, painting the walls of your room, or filling up a water bottle. The amount of wrapping paper or paint you need depends on the Surface Area (the total area of the outside surfaces of the object). Conversely, the amount of water a bottle can hold is determined by its Volume (the total 3D space enclosed within the object). Mastering these concepts allows you to solve real-world measurement problems with ease.
To accurately calculate these measurements, you need to understand the core logic behind the formulas for different 3D shapes. For a Cuboid with length l, width b, and height h, the Total Surface Area (TSA) is calculated as 2(lb + bh + hl), while its Volume is l × b × h. A Cube is simply a cuboid where all sides are equal (side a), making its Volume a³ and TSA 6a². Moving to curved shapes, a Cylinder with radius r and height h has a Volume of πr²h and a Curved Surface Area (CSA) of 2πrh. A Cone shares a relationship with the cylinder, having exactly one-third of its volume: (1/3)πr²h. Finally, a perfectly round Sphere of radius r has a Volume of (4/3)πr³ and a Surface Area of 4πr². Understanding the components of these formulas—rather than just memorizing them—is the key to acing your exams.
The infographic above beautifully summarizes the critical formulas you will need for your CBSE Class 9 Mathematics exams. From left to right, it displays a Cuboid, a Cylinder, a Cone, and a Sphere, clearly pointing out the crucial dimensions like radius (r), height (h), and base lengths. By visually connecting the variables in the diagram to the formulas below each shape, you can better conceptualize how changing a single dimension impacts the overall surface area or volume. When you encounter tricky word problems—such as calculating the cost of painting the inner curved surface of a cylindrical water tank or finding out how much ice cream a cone can hold—refer back to these visual blueprints. Identifying whether a problem asks for Curved Surface Area, Total Surface Area, or Volume is the first and most critical step in arriving at the right answer.
Do you find visualizing 3D geometry challenging, or are you struggling with the heavy calculations involved in Surface Area and Volumes? You don't have to tackle it alone! On UrbanPro, you can easily find highly experienced and verified CBSE Class 9 Mathematics tutors who specialize in breaking down complex geometric formulas into simple, easy-to-understand steps. Whether you prefer the convenience of personalized online tuition or the hands-on approach of local offline classes, UrbanPro connects you with the best educators to boost your confidence and help you score top marks in your math exams. Explore UrbanPro today and take the first step towards mathematical excellence!
Other Concept Videos for Surface area and volume of cube, cuboid, cylinder, cone and sphere
3D Shapes: Surface Area and Volume Formulas
CBSE - Class 9>Mathematics>Surface Area and Volumes>Surface area and volume of cube, cuboid, cylinder, cone and sphere
3D Shapes: Surface Area and Volume
CBSE - Class 9>Mathematics>Surface Area and Volumes>Surface area and volume of cube, cuboid, cylinder, cone and sphere
Top Tutors who teach Surface area and volume of cube, cuboid, cylinder, cone and sphere
Top Tutor 
Nehru Nagar, Belgaum 
3 students 
216 hrs of classes completed 
300 per hour 
Online Classes 
Tutor's home I teach Mathematics to students from Class 7 to Class 10, with 3 years of teaching experience. My focus is on helping students build strong conceptual understanding and develop effective problem-solving skills to excel academically. I have completed my 2nd PUC (Pre-University Course), a Bachelor of Engineering (B.E.) from Visveswaraya Technological University in 2020, and a Bachelor of Education (B.Ed.) from Indira Gandhi National Open University in 2022. I have also completed a program with Cambridge Learning Resources, which has enhanced my teaching techniques and ability to engage students effectively. Over the years, I have guided students to improve their Mathematics understanding and performance, helping them gain confidence in handling both basic and complex problems. My teaching approach emphasizes clarity, practice, and logical reasoning to ensure steady improvement. I have also earned an RPA (Robotic Process Automation) certification in robotics, which reflects my technical skills and commitment to continuous learning. I often incorporate logical thinking and problem-solving strategies inspired by this training into my lessons. I prefer to conduct online classes, offering flexibility in timing and easy access for students. I teach both individual and small group sessions, allowing personalized attention and interactive learning experiences for every student. My classes are interactive, using motivational videos, personal digital pads, and other digital tools to make learning engaging and effective. These resources help students visualize concepts better and retain knowledge more efficiently. I provide custom-prepared notes to support student learning and revision. My ultimate goal is to make Mathematics understandable, enjoyable, and confidence-building, enabling every student to perform at their best and develop a strong foundation for future studies.
I am very happy with my tutor and the way they teach. They explain every topic clearly and make even difficult concepts easier to understand. My tutor is patient, supportive, and always encourages me to improve. They take time to clear my doubts and help me build confidence in my studies. Their teaching style is effective, and they create a comfortable learning environment. I have seen improvement in my understanding and performance because of their guidance. I truly appreciate their dedication, effort, and commitment towards helping students succeed.
Top Tutor Chitragupta Nagar, Patna Sadar 49 students 5033 hrs of classes completed 300 per hour Online Classes Hello all, I am Utkarsh kumar. As an experienced, qualified teacher and tutor with over 8 years of experience in teaching Maths, Physics, Chemistry and Biology across different boards including CBSE, and State Board. Passionate about solving mathematical problems and chemical equations. Over the years I have helped thousands of students overcome their fear of Maths, Physics Chemistry and Biology. If u wish to learn in interactive and fun manner, feel free to make a contact.
Amazing teaching, in 10 days he has done Maths tutions in a really structured and understanding way.He is a really good tutor.
Top Tutor Ashok Nagar D' Souza Layout, Bangalore 10 students 818 hrs of classes completed 350 per hour Online Classes I am a teacher , a statistician and a data analyst. I am willing to give online tution to uh in subject maths and statistics. I am a first ranker in my university in MSc (Statistics) and a gold medalist. I am certified in O level. I have cleared written exam for the post statistical officer in 2022 conducted by UPSC. Also cleared exam of MES but could not make in the interview. My key skills are teaching, solving queries, understanding students, visualising and analysing data. I have 6 years experience in teaching and i was a junior consultant having 4 years of experience in Ministry of labour and employment,Shimla . Currently i am working as a Monitoring Assistant in Department of Fisheries, Ministry of Fisheries,Animal Husbandry and Dairying, New Delhi. I know languages like R, python etc.
Very generous and effective teaching. She gets down to the level of the child and tries to understand her shortcomings and teach accordingly.
Top Tutor Faridabad NIT, Faridabad 1 student 86 hrs of classes completed 200 per hour Online Classes I have more than 08 years of experience in teaching from class VIth to XII th...I am post graduate in Physics . I am also done B.Ed and cleared CTET exam required for teaching profession...I am good at explaining concepts to students with real life examples which makes it easy to learn and understand difficult topics etc. I am result oriented and has track record of getting best out of average performing student in board exams. I am thorough professional and teaching is my passion. Teaching comes very naturally to me , as i have been taking home tuition since i was in college.
Top Tutor SH 74, Doddaballapura 2 students 249 hrs of classes completed 600 per hour Online Classes Your Hard Work. Their Future. Our Responsibility. At Fundamend Academy, we know that every penny you spend on tuition is a penny earned through sacrifice. You aren't just looking for "classes"—you are looking for a teacher who cares as much as you do. Why Fundamend Academy? We’ve removed the risks that usually waste your money and time: Money-Back Peace of Mind: If your child doesn't "click" with their teacher, we swap the tutor immediately at zero extra cost. Your fees will never go to waste. (1) Zero Hidden Costs: All study materials, board exam test series, and session recordings are included. No extra books to buy. (2) Total Honesty: No fake promises. You get a weekly report and a monthly call to discuss your child’s real progress. (3) The Comfort of Home Language: We teach in your child’s native tongue so they finally understand the concept instead of just memorizing it. We don’t just teach; we take the burden off your shoulders so you can see your child succeed. BOOK A FREE DEMO See our teaching for yourself before you spend a single rupee.
Find more Tutor for Surface area and volume of cube, cuboid, cylinder, cone and sphere in your City
- Bangalore Mathematics Tutors
- Delhi Mathematics Tutors
- Gurgaon Mathematics Tutors
- Hyderabad Mathematics Tutors
- Chennai Mathematics Tutors
- Kolkata Mathematics Tutors
- Faridabad Mathematics Tutors
- Noida Mathematics Tutors
- Mumbai Mathematics Tutors
- Surat Mathematics Tutors
- Pune Mathematics Tutors
- Ghaziabad Mathematics Tutors
FAQ
What is the meaning of Surface area and volume of cube, cuboid, cylinder, cone and sphere?
It refers to a specific mathematical method or property in Surface Area and Volumes used to solve problems involving Surface area and volume of cube, cuboid, cylinder, cone and sphere.
Why is Surface area and volume of cube, cuboid, cylinder, cone and sphere important for CBSE - Class 9 exams?
This concept is crucial for the exams as questions related to Surface Area and Volumes and specifically Surface area and volume of cube, cuboid, cylinder, cone and sphere are very common. It helps secure marks in the section effectively.
Is Surface area and volume of cube, cuboid, cylinder, cone and sphere part of the latest NCERT syllabus?
Yes, Surface area and volume of cube, cuboid, cylinder, cone and sphere is an integral part of the CBSE - Class 9 NCERT Mathematics syllabus. It is a key topic covered in the Surface Area and Volumes chapter.
What are common mistakes students make with Surface area and volume of cube, cuboid, cylinder, cone and sphere?
Students often miss the minute details or fundamental definitions of Surface area and volume of cube, cuboid, cylinder, cone and sphere. Regular revision and practice are needed to master the nuances.
How should I approach learning Surface area and volume of cube, cuboid, cylinder, cone and sphere?
Start by understanding the formulas and logic, then practice applying them to simple problems. Solve the examples given in the NCERT textbook before moving to exercise problems.
How can UrbanPro help me understand Surface area and volume of cube, cuboid, cylinder, cone and sphere better?
UrbanPro connects you with experienced Mathematics tutors who can explain Surface area and volume of cube, cuboid, cylinder, cone and sphere with simple examples. You also get access to doubt-clearing sessions and mock tests for better preparation.
