NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.2 Surface Areas and Volumes - PDF Download

NCERT solutions for class 10 maths chapter 12 ex 12.2 refers to the calculation of the volume when different objects join together to create a new shape. It is important to note that we haven’t included the surface areas of those two components in the surface area calculation, as part of their surface area disappeared in the process of joining them. However, that won’t be the case in the volume calculation.

The volume of the solid formed by joining two basic solids will actually be the sum of the volumes of the constituent solids. NCERT solutions class 10 maths chapter 12 ex 12.2 is made up of 8 questions that ask students to visualize the shapes described in the problem statement and then break it down into its parts to figure out the required volume.

Class 10 maths chapter 12 ex 12.2 NCERT solutions is available here in a free downloadable PDF format. These solutions are prepared by expert maths teachers from eSaral in order to help students understand the concepts better.

Topics Covered in Exercise 12.2 Class 10 Mathematics Questions

Chapter 12 ex 12.2 of NCERT solutions class 10 maths is based on the questions that relate to the volume of a combination of solids.

1. Volume of a Combination of Solids - The volume of the solid formed by joining two basic solids will actually be the sum of the volumes of the constituents. 

Volume of a Combination of solids Formula

The formula for calculating the volume of a combination of solids is as follows:

                            V = V1 + V2+...

Where, ‘V’ is the volume of the combination of solids

             ‘V1’ and ‘V2’ are the volume of the individual solid like solid 1, solid 2, and so on.

Volume of Solids shapes: Formula

Before we get into solving the questions related to the combination of solids. it is necessary to consider the volumes of all three-dimensional solid shapes.

1. Volume of cuboid -  l×b×h

2. Volume of cube - a3  (because l=b=h=a)

3. Volume of sphere - 4/3πr3

4. Volume of cone - 1/3πr2h

5. Volume of cylinder - πr2h

6. Volume of hemisphere - 2/3πr3

Tips for Solving Exercise 12.2 Class 10 chapter 12 Surface Areas and Volumes 

The NCERT solutions class 10 maths chapter 12 ex 12.2 questions are about finding the volume of solid shapes. Here are tips provided by our mathematics expert team on how to solve questions of ex 12.2. You can check them below.

1. In ex 12.2 all questions are presented in the form of word problems, in which students must determine the number of solids and calculate the total number of solids. To do this, they must study and comprehend each of the figures associated with the question, which will assist them in visualizing the problem. 

2. For some of the questions, there are no adjacent figures; in such cases, students can analyze the problem and draw the solids to assist in visualizing the problem and applying the necessary formulas.

3. In this exercise, all the word problems are presented in an easy and simple  language. The problems in class 10 maths NCERT solutions chapter 12 ex 12.2 can be easily understood by students due to their relevance to real-life situations. This enables students to explore the topics in an engaging manner.

4. If you are stuck on any of the questions, they can always check out the NCERT solutions provided by  eSaral to learn more about the theory of ex 12.2.

Importance of Solving Ex 12.2 Class 10 Maths chapter 12 Surface Areas and Volumes

Solving the questions from the ex 12.2 you will receive significant advantages for the class 10 maths exam.

1. Ex 12.2 in class 10 maths chapter 12 helps us to understand the complex shapes and to find its volume.

2. NCERT solutions by eSaral for chapter 12 ex 12.2 class 10 maths helps you to reduce complex shapes by dividing it into small parts, making it easy-to-understand.

3. After solving several questions in this exercise, you will be able to solve all the board exam questions related to this exercise. 

4. You can build the thorough understanding of concept of every topic in ex 12.2.

Frequently Asked Questions

Question 1. What is the core concept of NCERT solutions for class 10 maths ex 12.2?

Answer 1. This exercise is all about figuring out the volume of the combination of solids. You need to remember how to figure out the volume of cubes, spheres, cylinders, and so on.

Question 2. Write the formula for finding the volume of cone, cylinder and sphere?

Answer 2. Here are the formulas for finding the volume of the cone, cylinder and sphere.

1. Volume of cone - 1/3πr2h

2. Volume of cylinder - πr2h

3. Volume of sphere -  4/3πr3

Question 3. What is the formula for the volume of combination of solids?

Answer 3. The formula for calculating the volume of a combination of solids is as follows:

                            V = V1 + V2+...

Where, ‘V’ is the volume of the combination of solids

             ‘V1’ and ‘V2’ are the volume of the individual solid like solid 1, solid 2, and so on.