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# NCERT Solutions Class 10 Maths Chapter 13 Surface Area and Volumes

NCERT solutions for class 10 maths chapter 13 Surface Area and Volumes helps students revise several solid shapes like cube, cone, cylinder, cuboid, etc., along with the formulas of surface area and volume of these solid figures that they have learned in the previous classes. These concepts are a part of our everyday life; hence it is important to understand these solids and their properties. Class 10 maths NCERT solutions chapter 13 Surface Area and Volumes will further illustrate the surface area and volume of these solids in combination. This means that through this chapter, students will learn how to calculate the surface area and volume of two or more solid shapes combined together.

NCERT solutions class 10 maths chapter 13 will help students explore several topics such as surface area and volume of combination solids, conversion of solid from one shape to another, and frustum of a cone. This chapter has a variety of questions based on different shapes and their combinations. The questions are curated by experts; hence each and every sum will benefit students by helping them explore a lot of distinct concepts. We will study this chapter further with the help of this article and also you can find some of these in the exercises given below.

- NCERT Solutions Class 10 Maths Chapter 13 Ex 13.1
- NCERT Solutions Class 10 Maths Chapter 13 Ex 13.2
- NCERT Solutions Class 10 Maths Chapter 13 Ex 13.3
- NCERT Solutions Class 10 Maths Chapter 13 Ex 13.4
- NCERT Solutions Class 10 Maths Chapter 13 Ex 13.5

## NCERT Solutions for Class 10 Maths Chapter 13 PDF

NCERT solutions maths for class 10 offer optimal coverage of various topics related to different shapes and figures. These topics are explained in detail with examples. You can practice all the exercise questions of this chapter using the PDF given below:

**☛** Download Class 10 Maths NCERT Solutions Chapter 13

**NCERT Class 10 Maths Chapter 13 **

### NCERT Solutions for Class 10 Maths Chapter 13 Surface Area and Volumes

Class 10 NCERT solutions chapter 13 Surface Area and Volume includes all important questions and their solutions that are prepared by the experts. The chapter deals with different shapes as well as the combination of these shapes. This section has a lot of real-life applications hence, students can easily relate to it. The detailed analysis of NCERT Solutions Chapter 13 Surface Area and Volumes are given below:

- Class 10 Maths Chapter 13 Ex 13.1 - 9 Questions
- Class 10 Maths Chapter 13 Ex 13.2 - 8 Questions
- Class 10 Maths Chapter 13 Ex 13.3 - 9 Questions
- Class 10 Maths Chapter 13 Ex 13.4 - 5 Questions
- Class 10 Maths Chapter 13 Ex 13.5 - 7 Questions

☛ Download Class 10 Maths Chapter 13 NCERT Book

**Topics Covered:** The important topics covered in class 10 maths NCERT solutions Chapter 13 are the surface area of solid shapes, combination solids, the volume of solid shapes, combination solids, conversion of solid from one shape to another, and frustum of a cone.

**Total Questions:** Class 10 Maths Chapter 13 Surface Area and Volumes consists of 38 questions. Out of these 38 problems, 18 are easy to solve, 10 are moderate level sums, while the other ten are in long answer type format.

## List of Formulas in NCERT Solutions Class 10 Maths Chapter 13

NCERT solutions class 10 maths Chapter 13 are competent resources for class 10 maths that cover fundamental concepts of chapter 13 Surface Area and Volumes. This chapter is all about formulas. Hence, there is a long list of important formulas that students need to remember in order to solve all questions.

Surface Area of a cuboid of length l, breadth b, and height h = 2 (l ✕ b+ b ✕ h+ l ✕ h)

Lateral Surface Area of cuboid = 2 ( l+ b) h

Surface Area of a cube = 6 l^{2 }where l is the length

Lateral Surface Area of cube = 4 l^{2 }where l is the length

Volume of cube = l^{3}

Lateral Surface Area of a Cylinder = 2πrh

Total Surface Area of a Cylinder = 2πr (h+r)

Volume of Cylinder = πr^{2 }h

Lateral Surface Area of Cone = πrL

Total surface area of cone = πr ( L+ r)

Volume of Cone = ⅓ (πr^{2 }h)

Surface Area of Sphere= 4 πr^{2}

Volume of Sphere = 4/3 (πr^{3})

Volume of Frustum of cone = 1/3 πh ( r^{2}_{1 +} r^{2}_{2}+ r_{1 +} r_{2})

Total Surface Area of Frustum of cone = πL( r_{1 +} r_{2})+π(r^{2}_{1 }+ r^{2}_{2})

## Important Questions for Class 10 Maths NCERT Solutions Chapter 13

CBSE Important Questions for Class 10 Maths Chapter 13 Exercise 13.1 |
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CBSE Important Questions for Class 10 Maths Chapter 13 Exercise 13.5 |
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### Video Solutions for Class 10 Maths NCERT Chapter 13

NCERT Video Solutions for Class 10 Maths Chapter 13 | |
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Video Solutions for Class 10 Maths Exercise 13.1 | |

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Question 3 | Question 4 |

Question 5 | Question 6 |

Question 7 | Question 8 |

Question 9 | |

Video Solutions for Class 10 Maths Exercise 13.2 | |

Question 1 | Question 2 |

Question 3 | Question 4 |

Question 5 | Question 6 |

Question 7 | Question 8 |

Video Solutions for Class 10 Maths Exercise 13.3 | |

Question 1 | Question 2 |

Question 3 | Question 4 |

Question 5 | Question 6 |

Question 7 | Question 8 |

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Video Solutions for Class 10 Maths Exercise 13.4 | |

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Question 3 | Question 4 |

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Video Solutions for Class 10 Maths Exercise 13.5 | |

Question 1 | Question 2 |

Question 3 | Question 4 |

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## FAQs on NCERT Solutions Class 10 Maths Chapter 13

### What is the Importance of NCERT Solutions Class 10 Maths Chapter 13 Surface Areas and Volumes?

NCERT Solutions Class 10 Maths Surface Area and Volume consist of well-researched questions curated by the experts that cover all the topics of chapter 13 in detail. These topics include various shapes and their combinations. NCERT solutions class 10 maths chapter 13 help students explore the most complex topics in the easiest way possible. Moreover, these questions are asked in board exams as well. Hence NCERT solutions class 10 maths chapter 13 is an important study material that needs regular practice.

### Do I Need to Practice all Questions Provided in NCERT Solutions Class 10 Maths Surface Areas and Volumes?

Practicing all questions provided in class 10 maths chapter 13 can help students fully prepare for board exams as many problems from this chapter are frequently asked in exams. Also, solving all the exercise problems ensures complete knowledge of the topics such as the conversion of solids from one shape to another, frustum of a cone, etc, thus making students more confident. Hence it is essential to practice all the sums of Chapter 13 of NCERT class 10 maths.

### What are the Important Topics Covered in NCERT Solutions Class 10 Maths Chapter 13?

NCERT Solutions Class 10 Maths Chapter 13 starts with a run-through of previous concepts such as surface area of cuboid, the surface area of the hemisphere, cylinder, cone, etc. Further, these topics cover a combination of solids, conversion of one shape of solid to another, Frustum of a cone, etc.

### How Many Questions are there in Class 10 Maths NCERT Solutions Chapter 13 Surface Areas and Volumes?

NCERT Solutions Class 10 maths chapter 13 includes a total of 38 questions. All these problems are designed in a stepwise manner such that they gradually pace to provide an in-depth understanding of various solid shapes, properties, and applications. By practicing all 38 problems from this chapter, students can get more confident about the subject and achieve good marks.

### What are the Important Formulas in NCERT Solutions Class 10 Maths Chapter 13?

NCERT Solutions Class 10 Maths Chapter 13 has a long list of important formulas based on surface area and volume of different shapes like cube, cuboid, cylinder, hemisphere, cone, etc. All the questions in this chapter are based on formulas; hence it is important to remember all of them. Moreover, students are advised to understand the derivation of each of these formulas. This will help them understand the application and solve all the questions with ease.

### Why Should I Practice NCERT Solutions Class 10 Maths Surface Area and Volumes Chapter 13?

Chapter 13 of NCERT Solutions Class 10 Maths is all about practice as maximum questions from this are based on formulas. Solving the NCERT solutions will help students understand key points of the chapter and explore the applications. Also, by getting well versed with the topics of NCERT solutions class 10 maths chapter 13, students can learn how to identify and derive different formulas which are to be applied in the questions.

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