Get Dream IIT in Drop Year | Up to 70% OFF | Limited Seats

# NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1 Surface Areas and Volumes - PDF Download

Class 10

NCERT solutions for class 10 maths chapter 12 ex 12.1 helps students to determine the surface area of shapes that are formed by joining two or more shapes. One of the most common shapes we see is a figure that is a mixture of two shapes. For example, a test tube is a cylinder with a hemispherical shape. There can be many other shapes with different combinations. These shapes cannot be classified. NCERT solutions chapter 12 ex 12.1 in class 10 maths will help students in calculating the surface area of two or more shapes.

Ex 12.1 class 10 maths chapter 12 consists of 9 questions. In order to solve the questions posed in NCERT solutions class 10 maths ex 12.1 students must divide the question into its smaller parts. Once you know the combination of shapes in the object, it becomes simple to answer the question.

Class 10 maths chapter 12 exercise 12.1 NCERT solutions can be downloaded for free in PDF format. Our maths experts have solve the questions on this exercise to help students get a better grasp of the concepts.

## Topics Covered in Exercise 12.1 Class 10 Mathematics Questions

NCERT solutions class 10 maths chapter 12 ex 12.1 is based on questions which discusses surface area of combination of solids.

 1 Surface Area of Combination of Solids
1. Surface Area of Combination of Solids - In our everyday lives, we have encountered solids that are composed of a mixture of two or more simple solids. We know the surface areas of solid or three dimensional shapes like cubes, cuboids, cylinders, cones, spheres, hemispheres and so on.

In this section, we will provide an in-depth analysis of the surface area of a combination of solids with numerous solved questions.

Surface Area of a Combination of Solids Formula

TSA of new Solid = Sum of the CSA of each of the individual shapes

Where, TSA = Total Surface Area

CSA = Curved Surface Area

## Tips for Solving Exercise 12.1 Class 10 chapter 12 Surface Areas and Volumes

Our mathematics team of experts have given some important tips to solve the ex 12.1 questions.

1. To find the total surface area of a solid, students first need to find the curved surface area of each solid presented in that figure, then the total surface area of solid can be calculated.

2. Sometimes it’s hard for students to understand a shape, in this case, they’ll need to visualize the shapes and then try to figure out the solution.

3. It is important to revise the formulas periodically as all the questions are based on surface area of various solids such as a cylinder, a sphere, a hemisphere, etc.

## Importance of Solving Ex 12.1 Class 10 Maths chapter 12 Surface Areas and Volumes

By solving ex 12.1 class 10 maths chapter 12 surface areas and volumes, you will get numerous benefits. Here are some of the benefits of solving ex 12.1.

1. You will build a solid command over the concepts of chapter 12 ex 12.1 after studying step by step easy explanation of NCERT solutions.

2. After solving several questions from NCERT solutions provided by our experts team of eSaral, you can solve all the board exam questions from the ex 12.1 easily.

3. These solutions are accurate and can help students in preparing for their board exams.

4. Chapter 12 of class 10 maths ex 12.1 includes the information that can be used in everyday life.

Question 1. What is the curved surface area of the cylinder?

Answer 1. Curved surface area of the cylinder is 2πrh.

Question 2. What is the curved surface area of the hemisphere?

Answer 2. Curved surface area of the hemisphere is  2πr2.

Question 3. What type of questions are asked in ex 12.1 of 10 maths?

Answer 3. There are many questions where we need to figure out the total surface area of a combination of solid objects or real life objects like tents, capsules toys etc., but some of them are direct questions that only ask about solid objects.