NCERT Solutions for Class 9 Maths, Chapter 13 - Surface Areas and Volumes

In previous chapters, you have studied about plane figures: Squares, rectangles, circles etc. and the methods to calculate their areas and perimeters. You have also learnt to find the surface areas and volumes of cuboids, cubes and cylinders.

Now, in Class 9 Maths Chapter 13 – Surface Areas and Volumes,  you will study how to obtain solid figures such as cuboid, cylinder, cone, sphere etc. and the methods to calculate their area and perimeter, in detail.

Let us take a look at the topics and sub-topics of NCERT Solutions for Class 9 Maths Chapter 13:

13.1 Introduction

13.2 Surface Area of a Cuboid and a Cube

13.3 Surface Area of a Right Circular Cylinder

13.4 Surface Area of a Right Circular Cone

13.5 Surface Area of a Sphere

13.6 Volume of a Cuboid

13.7 Volume of a Cylinder

13.8 Volume of a Right Circular Cone

13.9 Volume of a Sphere

13.10 Summary

In NCERT Maths Solutions for Class 9 Chapter 13 we study the following points:

1. The surface area of the cuboid= 2(lb+bh+lh)

2. The surface area of a cube= 6a²

3. The curved surface area of a cylinder= 2πrh

4. The curved surface area of a cone= πrl

5. The volume of a cube= a³

6. The volume of a cuboid= lbh

In the above formulas, l, b, h, r, a are used in their usual meaning depending on their context as given below:

• l : length

• b : breadth

• h : height

• r : radius

• a: area

You can go through the following exercises for  NCERT Solutions for Class 9 Chapter 13. For better understanding and detailed solutions download UrbanPro’s NCERT Solutions for Class 9 Maths Chapter 13 PDF.