NCERT Solutions for Class 9 Maths Chapter 13: The detailed NCERT Solutions for Class 9 Maths Chapter 13 – Surface Areas and Volumes are provided in this article. Students who are looking for CBSE Class 9 Maths Chapter 13 solutions can refer to the NCERT questions and answers provided here for their preparation. Chapter 13 – Surface Areas and Volumes exercise solutions have been put together by Embibe’s top Maths teachers. So, you can completely rely on them for your class exercises and homework.
These solutions will also help you in the quick revision of the chapter before the exam. The NCERT Solutions for Class 9 Maths Chapter 13 involves Exercise 13.1, Exercise 13.2, Exercise 13.3, Exercise 13.4, Exercise 13.5, Exercise 13.6, Exercise 13.7, Exercise 13.8, and Exercise 13.9. So, go through the NCERT solutions for Class 9 Maths Chapter 13 (Surface Areas and Volumes).
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Table of Contents
NCERT Solutions for Class 9 Maths Chapter 13
In NCERT Class 9 Maths Chapter 13, students will be introduced to the Surface areas and volumes of different shapes like Cuboid, Cube, Cylinder, and Sphere. The NCERT Class 9 Maths Chapter 13 covers Exercise 13.1, Exercise 13.2, Exercise 13.3, Exercise 13.4, Exercise 13.5, Exercise 13.6, Exercise 13.7, Exercise 13.8, and Exercise 13.9. Students can refer to the section-wise topics that they will be studying in this chapter:
| Exercise | Topics |
| 13.1 | Surface Areas of a Cuboid and a Cube |
| 13.2 | Surface Area of a Right Circular Cylinder |
| 13.3 | Surface Area of a Right Circular Cone |
| 13.4 | Surface Area of a Sphere |
| 13.5 | The volume of a Cuboid |
| 13.6 | Volume of a Cylinder |
| 13.7 | Volume of a Right Circular Cone |
| 13.8 | Volume of a Sphere |
CBSE Class 9 Maths Chapter 13: Chapter Summary
Surface Areas and Volumes explains the relationship between the length and breadth of a figure. For example, a cuboid is formed by six different rectangles. So, if you want to find the surface area of the cuboid, then you need to find the area of all the rectangles. After finding the areas of all the surfaces, you need to add them, which will give you the surface area of the cuboid. Similarly, you will also find out the surface area of the cylinder. This chapter is filled with solved examples and exercises. Students must know the correct formulas and how to apply them. Thus, practising the questions is the best way to master this chapter.
Surface Area is the area of the outer part of any 3D figure, and Volume is the capacity of the figure, i.e. the space inside the solid. Surface Areas and Volumes is one of the most important chapters of CBSE Class 9 Maths as it builds a strong foundation for higher classes as well as for competitive exams like Olympiads.
Download Solutions For CBSE Class 9 Maths Chapter 13 PDF
How to Prepare for CBSE Class 9 Maths Surface Areas & Volumes?
Students must first observe the number of solid shapes to calculate different shapes’ surface area and volumes. When we measure the surface area and volume of the solid shapes, we consider all three dimensions: length, breadth, and height. For this, our understanding of shapes and structures must be accurate. When the surface area and volume of composite shapes are calculated, the shapes are broken into different constituting shapes. This calculation process is similar to breaking a bigger problem into smaller problems, to reach an accurate solution.
The NCERT Solutions For Class 9 Maths Chapter 13 will give you a gist of each and every topic covered in this chapter. Students can also solve Surface Area and Volumes practice questions and take the Class 9 Maths Chapter 13 Mock Test on Embibe. These will help students to perform better in the exams and score good marks.
| NCERT SOLUTIONS FOR CLASS 9 MATHS CHAPTER 12 | NCERT SOLUTIONS FOR CLASS 9 MATHS CHAPTER 14 | NCERT SOLUTIONS FOR CLASS 9 MATHS CHAPTER 15 |
CBSE Class 9 Maths Chapter 13 Important Questions
Some of the important questions from this chapter are as under:
| 1 Mark Important Questions from Surface Areas and Volumes |
- 2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.
- The paint in a certain container is sufficient to paint an area equal to 9.375 sq.m. How many bricks of dimensions 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?
- The curved surface area of a right circular cylinder is 4.4 sq.m. If the radius of the base of the cylinder is 0.7 m, find its height.
- Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.
| 2 Mark Important Questions from Surface Areas and Volumes |
- Three cubes each of sides 5 cm are joined end to end. Find the surface area of the resulting cuboid.
- In a hot water heating system, there is cylindrical piping of length 28m and diameter 5 cm. Find the total radiating surface in the system.
- A joker’s cap is in the form of a circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps.
| 3 Mark Important Questions from Surface Areas and Volumes |
- A rectangular water tank of base 11 m × 6 m contains water up to a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank.
- A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.
- A village having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring 20 m by 15 m by 6 m. For how many days will the water of this tank last?
| 4 Mark Important Questions from Surface Areas and Volumes |
- In one fortnight of a given month, there was a rainfall of 10 cm in a river valley. If the area of the valley is 97280 km2, show that the total rainfall was approximately equivalent to the addition to the normal water of three rivers each 1072 km long, 75 m wide and 3 m deep.
- A container opened from the top and made up of a metal sheet, in in the form of a frustum of a cone height 16 cm with radii of its lower and upper ends as 8 cm and 20 am respectively. Find the cost of milk, which can fill the container completely at the rate of Rs 20/litre. Also, find the cost of metal sheet used to make the container, if it costs Rs 8/100 cm2.
Check Class 9 Maths Important Formulas Here
FAQs on NCERT Solutions for Class 9 Maths Chapter 13
Here are some of the frequently asked questions (FAQs) for NCERT Solutions for Class 9 Maths Chapter 13:
Q1. How Can I find out the surface area of Cuboid?
A. If you want to find the surface area of the cuboid, then you need to find the area of all the rectangles. After finding the areas of all the surfaces, you need to add them, which will give you the surface area of the cuboid.
Q2. Are the NCERT Solutions for Class 9 Maths Chapter 13 easy to understand?
A. The NCERT Solutions by Embibe will help you in understanding the chapter Polynomial better. The NCERT Solutions for Class 9 Maths Chapter 13 have been explained in a step by step manner and detailed manner so that any class 9 student can understand NCERT Solutions for Class 9 Chapter 13.
Q3. How many exercises are involved in Class 9 Maths Chapter 13?
A. There are 9 exercises in Class 9 Maths Chapter 13. The list of questions in each one are as follows:
- Exercise 13.1
- Exercise 13.2
- Exercise 13.3
- Exercise 13.4
- Exercise 13.5
- Exercise 13.6
- Exercise 13.7
- Exercise 13.8
- Exercise 13.9
Q4. Why should I opt for NCERT Solutions for Class 9 Maths Chapter 13 by Embibe?
A. The concepts are explained in simple language in the NCERT Solutions for Class 9 Chapter 13 by Embibe. The NCERT Solutions are prepared by a team of experts at Embibe with the goal of helping students enhance their exam preparation. It will also help you in finishing your homework. Moreover, if you are able to solve the NCERT In-text questions and exercises then you will be able to score good marks in the final examination.
Q5. What is the Surface Area and Volume?
A. Surface Area is the area of the outer part of any 3D figure, and Volume is the capacity of the figure, i.e. the space inside the solid.
Now you are provided with the detailed CBSE NCERT solutions for Class 9 Maths Chapter 13 (Surface Areas and Volumes).
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