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

We all see several objects or solids in our daily life. The students, from their knowledge of earlier classes, must be well versed in drawing the figures of these objects on plain paper as plane figures. Here, in the NCERT Solutions for Class 9 maths Chapter 13 Surface Areas and Volumes, they will learn how to calculate the surface areas and volumes of cuboid, cylinder, cone, and spheres as these help in knowing how much space a solid occupies in space which is very helpful to learn in our day to day life. These NCERT solutions Class 9 maths Chapter 13 Surface Areas and Volumes will help the students understand this concept in detail.

When calculating the area, the students must remember that its unit is considered in the square unit, while the unit of volume is denoted in the cube units. More such facts and formulas can be read in the pdf of the Class 9 maths NCERT solutions Chapter 13 Surface Areas And Volumes given below and also find some of these in the exercises given below.

- NCERT Solutions Class 9 Maths Chapter 13 Ex 13.1
- NCERT Solutions Class 9 Maths Chapter 13 Ex 13.2
- NCERT Solutions Class 9 Maths Chapter 13 Ex 13.3
- NCERT Solutions Class 9 Maths Chapter 13 Ex 13.4
- NCERT Solutions Class 9 Maths Chapter 13 Ex 13.5
- NCERT Solutions Class 9 Maths Chapter 13 Ex 13.6
- NCERT Solutions Class 9 Maths Chapter 13 Ex 13.7
- NCERT Solutions Class 9 Maths Chapter 13 Ex 13.8
- NCERT Solutions Class 9 Maths Chapter 13 Ex 13.9

## NCERT Solutions for Class 9 Maths Chapter 13 PDF

Plane geometry and solid geometry are the two types of geometry. Plane geometry, also known as two-dimensional geometry, is the study of lines and shapes such as squares, triangles, rectangles, and hexagons, whereas solid geometry is the study of prisms, cylinders, cubes, pyramids, spheres, and other three-dimensional objects. More details on these can be found in the NCERT solutions Class 9 maths Chapter 13 Surface Areas And Volumes given below:

**☛** Download Class 9 Maths NCERT Solutions Chapter 13

**NCERT Class 9 Maths Chapter 13 **

### NCERT Solutions for Class 9 Maths Chapter 13

The surface area refers to the space occupied by the surface of any object, while the term "volume" refers to the amount of space inside a hollow object or solid. If one wishes to fill a cuboid-shaped hollow container with water, the amount of water required can be determined by calculating the volume of the container by measuring its length, breadth, and height. These concepts are noteworthy and hold importance in various walks of life. Below can be found an exercise-wise detailed analysis of the NCERT Solutions Class 9 Maths Chapter 13 Surface Areas And Volumes which essentially shows the number of questions each section of the chapter has.

- Class 9 Maths Chapter 13 Ex 13.1 - 8 Questions
- Class 9 Maths Chapter 13 Ex 13.2 - 11 Questions
- Class 9 Maths Chapter 13 Ex 13.3 - 8 Questions
- Class 9 Maths Chapter 13 Ex 13.4 - 9 Questions
- Class 9 Maths Chapter 13 Ex 13.5 - 9 Questions
- Class 9 Maths Chapter 13 Ex 13.6 - 8 Questions
- Class 9 Maths Chapter 13 Ex 13.7 - 9 Questions
- Class 9 Maths Chapter 13 Ex 13.8 - 10 Questions
- Class 9 Maths Chapter 13 Ex 13.9 - 3 Questions (Optional)

☛ Download Class 9 Maths Chapter 13 NCERT Book

**Topics Covered:** The topics covered in the Class 9 maths NCERT solutions Chapter 13 are as follows: Explanation on the calculations of the surface area of a cuboid and a cube, surface area of a right circular cylinder and right circular cone, as well as the surface area of a sphere, volume of a cylinder, cuboid, right circular cone and the volume of a sphere.

**Total Questions:** The Class 9 maths Chapter 13 Surface Areas And Volumes Chapter 13 consists of a total of 75 questions. The students will find them to be of easy (50 questions), moderate difficulty (10 questions), and difficult level (5 questions) categories.

## List of Formulas in NCERT Solutions Class 9 Maths Chapter 13

The NCERT solutions Class 9 maths Chapter 13 covers a lot of important formulas which the students must take note of. For each geometric figure, there is a different formula hence it is essential that they do not confuse them. Some important ones are as below:

**Surface Area of a Cuboid**= 2[(length x breadth) + (breadth x height) + (height x length)]**Volume of a Cylinder**= πr^{2}h

## Important Questions for Class 9 Maths NCERT Solutions Chapter 13

CBSE Important Questions for Class 9 Maths Chapter 13 Exercise 13.1 |
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CBSE Important Questions for Class 9 Maths Chapter 13 Exercise 13.5 |
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CBSE Important Questions for Class 9 Maths Chapter 13 Exercise 13.6 |
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CBSE Important Questions for Class 9 Maths Chapter 13 Exercise 13.7 |
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CBSE Important Questions for Class 9 Maths Chapter 13 Exercise 13.8 |
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CBSE Important Questions for Class 9 Maths Chapter 13 Exercise 13.9 |
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### Video Solutions for Class 9 Maths NCERT Chapter 13

## FAQs on NCERT Solutions Class 9 Maths Chapter 13

### Why are NCERT Solutions Class 9 Maths Chapter 13 Important?

We come across measures of different sorts of shapes in our daily lives all the time, whether it's to figure out how much liquid is required to fill a container or to find the surface area of some cubical object. This includes the calculation of volume and area, both of which are covered in detail in the NCERT Solutions Class 9 Maths Chapter 13, making them a valuable resource for learning about surface areas and volumes in depth.

### Do I Need to Practice all Questions Provided in Class 9 Maths NCERT Solutions Surface Areas And Volumes?

The more you practice maths, the more you will understand concepts. The NCERT's wide range of questions will not only encourage you to think creatively; but will also aid you in successfully learning formulas and data. You'll study when and where to employ a particular formula in various situations, which will come in handy when taking exams and save you on time.

### What are the Important Topics Covered in NCERT Solutions Class 9 Maths Chapter 13?

Elaborative logical derivations of formulas regarding the calculation of the surface area of a cuboid, a cube, right circular cylinder, cone, and sphere. Additionally, problems based on the volume of a cylinder, cuboid, right circular cone, and sphere are covered in the Class 9 maths NCERT solutions Chapter 13.

### How Many Questions are there in NCERT Solutions Class 9 Maths Chapter 13 Surface Areas And Volumes?

**T**he Class 9 Maths Chapter 13 Surface Areas And Volumes Chapter 13 consists of a total of 75 questions. All of them are formula-based, hence the students must make sure to remember the respective formulas carefully.

### How CBSE Students can utilize Class 9 Maths NCERT Solutions Chapter 13 effectively?

The NCERT Solutions Class 9 Maths Chapter 13 consists of basic activities and exercises that will assist students in gaining a better understanding of the surface areas and volumes in actual space. They must read the entire chapter carefully because each and every line contains vital information or facts. Kids must practice the explained examples in order to learn how to approach problems and use the respective geometric formulas.

### Why Should I Practice NCERT Solutions Class 9 Maths Surface Areas And Volumes Chapter 13?

The NCERT Solutions Class 9 Maths Surface Areas And Volumes Chapter 13 has been prepared by eminent scholars in their respective fields, and they have compiled the knowledge of solid geometry in a way that is easily understood by all. Also, the CBSE board highly recommends studying from the NCERT books making them a reliable resource for the students to practice and excel in geometry.