NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes in PDF form to free to use online or download. **NCERT Solutions** for other are also given in downloadable format.

## NCERT Solutions for Class 9 Maths Chapter 13

**Go Back to NCERT Solutions for Class 9 Maths Main Page**

### 9 Maths Chapter 13 Surface Areas and Volumes Solutions

#### Hindi Medium & English Medium Solutions

- Class 9 Maths Chapter 13 Exercise 13.1 Solutions
- Study Online Exercise 13.1
- Download Exercise 13.1
- Download प्रश्नावली 13.1

- Class 9 Maths Chapter 13 Exercise 13.2 Solutions
- Study Online Exercise 13.2
- Download Exercise 13.2
- Download प्रश्नावली 13.2

- Class 9 Maths Chapter 13 Exercise 13.3 Solutions
- Study Online Exercise 13.3
- Download Exercise 13.3
- Download प्रश्नावली 13.3

- Class 9 Maths Chapter 13 Exercise 13.4 Solutions
- Study Online Exercise 13.4
- Download Exercise 13.4
- Download प्रश्नावली 13.4

- Class 9 Maths Chapter 13 Exercise 13.5 Solutions
- Study Online Exercise 13.5
- Download Exercise 13.5
- Download प्रश्नावली 13.5

- Class 9 Maths Chapter 13 Exercise 13.6 Solutions
- Study Online Exercise 13.6
- Download Exercise 13.6
- Download प्रश्नावली 13.6

- Class 9 Maths Chapter 13 Exercise 13.7 Solutions
- Study Online Exercise 13.7
- Download Exercise 13.7
- Download प्रश्नावली 13.7

- Class 9 Maths Chapter 13 Exercise 13.8 Solutions
- Study Online Exercise 13.8
- Download Exercise 13.8
- Download प्रश्नावली 13.8

- Class 9 Maths Chapter 13 Exercise 13.9 Solutions
- Study Online Exercise 13.9
- Download Exercise 13.9
- Download प्रश्नावली 13.9

- NCERT Books for Class 9 All Subjects
- NCERT Exemplar Problems Solutions
- Study Material for 2018-2019 – English Medium
- Study Material for 2018-2019 – Hindi Medium

##### Important Terms, Formulae on Surface Areas & Volumes

*Surface Area*: Surface area of a solid body is the area of all of its surface together and it is always measured in square units. Surface area is also known as total surface area (TSA).*Volume*: Space occupied by an object (solid body) is called the volume of the object. Volume is always measured in cubic units.- Basic Solid Figures
*Cuboid*: A cuboid is a solid bounded by six rectangular plane surfaces for example match box, brick, books, etc. are cuboid.- Surface area (or total surface area) of cuboid = 2 (lb + bh + hl) square units
- Lateral surface area of cuboid = 2(l + b)h square units
- Diagonal of a cuboid = √[l² + b² + h²] units
- Total length of a edges of a cuboid = 4 (l + b + h) units
- Volume of cuboid = lbh cubic units

*Cube*: A cuboid whose length, breadth and height are equal, is called a cube.- Surface area (or total surface area) of cuboid = 6a² square units
- Lateral surface area of cuboid = 4a² square units
- Diagonal of a cuboid = √3a units
- Total length of a edges of a cuboid = 12a units
- Volume of cuboid = a³ cubic units

*Cylinder*: A solid generated by the revolution of a rectangle about one of its sides which is kept fixed is called right circular cylinder.- Curved Surface Area (CSA) = 2πrh square units
- Total Surface Area (TSA) = 2πr(r + h) square units
- Volume = πr²h cubic units

*Cone*: A right circular cone is solid generated by revolving a line segment which passes through a fixed point and which makes a constant angle with a fixed line.- Slant Height = √[r² + h²]
- Curved Surface Area (CSA) = πrl square units
- Total Surface Area (TSA) = πr(r + l) square units
- Volume = 1/3 πr²h cubic units

*Sphere*: A sphere is three dimensional figure which is made up of all points in the space, which lie at a constant distance, form a fixed point called the centre of the sphere and the constant distant is called its radius.- Curved Surface Area (CSA) = Total Surface Area (TSA) = 4πr² square units
- Volume = 4/3 πr³ cubic units