NCERT Exemplar Solution for Class 9 Maths Chapter 13 – Surface Areas and Volumes
The thirteenth chapter of Class 9 Mathematics, Surface Areas and Volumes, is a crucial topic that connects geometry with real-life applications. This chapter helps students understand how to calculate the surface area and volume of various three-dimensional solids such as cubes, cuboids, cylinders, cones, spheres, and hemispheres. With the help of NCERT Exemplar Class 9 Maths Solutions, learners can explore higher-order problems, while NCERT Solutions for Class 9 Maths provide clear, step-by-step guidance for each exercise. The chapter begins with a revision of surface areas of solid figures, starting with cubes and cuboids. Students learn how to calculate the lateral surface area, the total surface area, and the volume of these shapes. These concepts form the foundation for more complex solids discussed later.
Next, the chapter introduces the surface area and volume of a right circular cylinder. Students apply formulas to solve problems involving hollow cylinders and real-world objects like pipes, cans, and tanks. The concept is further extended to cones, where students learn to calculate the curved surface area, total surface area, and volume. Through NCERT Solutions for Class 9 Maths, these formulas are explained with examples, making it easier for students to apply them accurately. A major highlight of this chapter is the surface area and volume of a sphere and a hemisphere. Students learn to deal with problems involving balls, globes, and domes. They also practice converting one solid shape into another of different dimensions but equal volume, a concept often tested in competitive exams. The chapter also covers real-life applications such as finding the amount of material required to paint, wrap, or construct objects, as well as the capacity of containers. In NCERT Exemplar Class 9 Maths Solutions, students encounter higher-order application-based problems that combine different solids, like a cone on a cylinder or a hemisphere on a cuboid. By solving these problems, learners not only gain accuracy but also develop logical reasoning. In conclusion, Chapter 13 is vital for strengthening spatial understanding and practical geometry. Consistent practice with NCERT Solutions for Class 9 Maths ensures conceptual clarity, while NCERT Exemplar Class 9 Maths Solutions prepare students for advanced applications, making this chapter extremely useful for both board exams and competitive studies.