# Class 10 NCERT Solutions Maths Chapter 13 - Surface Areas and Volumes

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NCERT Solutions for Class 10 Maths Chapter 13 - Surface Areas and Volumes

After learning about solid figures like a cylinder, cuboid, cone, sphere, etc., in grade 9, students will now encounter combinational figures in Mathematics Chapter Surface Areas and Volumes. Understand the concepts of curved surface area and total surface area and solve all kinds of questions using TopperLearning's study material. This chapter involves calculations and the application of formulae. Surface Areas and Volumes NCERT Solutions not only provide the final answer but also the method and calculations associated with it. Students are advised to revise formulae studied in class 9. The following key points will be focussed on in this chapter:

● Surface Area of a Combination of Solids

● The volume of a Combination of Solids

● Conversion of Solid from One Shape to Another

● Frustum of a Cone

Get solutions to all the questions from Maths Chapter Surface Areas and Volumes with TopperLearning's Surface Areas and Volumes NCERT Solutions. Get some practice by attempting questions from CBSE Class 10 Maths sample papers, CBSE Class 10 Maths most important questions and CBSE Class 10 Maths past year papers.

**CBSE Class 10 Mathematics Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.1**

Find the surface areas of objects that are a combination of different types of solid shapes. Learn to apply the formulae. Students must be thorough with the curved surface and total surface areas of the solid figures studied previously. TopperLearning’s CBSE Class 10 Maths revision notes help with all the topics and formulae necessary for quick revisions. Students will find solutions to every question with complete details and conceptual insight with CBSE Class 10 Maths Textbook Solutions. These solutions also mention the calculations for conceptual clarity. CBSE Class 10 Mathematics gets easier with TopperLearning’s study material and boosts student’s confidence.

**CBSE Class 10 Mathematics Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.2**

Learn about the application of using finding volume of combination solid figures with NCERT Solutions for CBSE Class 10 Maths. The volume of the solid formed by joining two basic solids will be the sum of the volumes of the constituents. Understand the process and calculation of such complex problems with TopperLearning’s Surface Areas and Volumes NCERT Solutions.

It is most important for a student to understand the format and weightage of the topics. Past year papers and sample questions papers help students to prepare in a structured and organised manner. Refer to CBSE Class 10 Maths most important questions, CBSE Class 10 Maths sample papers and CBSE Class 10 Maths past year papers for more practice.

**CBSE Class 10 Mathematics Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.3**

Solids tend to change shapes in some conditions. For instance, clay and candles change their shapes, but their volume remains the same. To understand this concept in detail, solve this exercise with Surface Areas and Volumes NCERT Solutions. Surface Areas and Volumes NCERT Solutions are drafted by experts with extreme precision. Students can gain proper conceptual insight and understand all the calculations associated with perplexing questions in the easiest manner. These questions are asked in the 4-5 mark category. Gain access to TopperLearning’s useful CBSE Class 10 Maths study material at your convenience and boost your scores. Try solving these questions and get your solutions checked with CBSE Class 10 Maths Textbook Solutions. In case of any doubts, get advice from experts using and CBSE Class 10 Maths undoubt. Get all your concerns and doubt solved by experts and improve your skills.

**CBSE Class 10 Mathematics Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.4**

When we slice through a cone with a plane parallel to its base and remove the cone that is formed on one side of that plane, the part that is now leftover on the other side of the plane is called a frustum of the cone. Understand how a frustum of a cone is cut with CBSE Class 10 Maths video lessons. Find out curved surface area, total surface area and volume of the frustum of a cone with Surface Areas and Volumes NCERT Solutions. Understand the crucial steps of the solutions with elaborate Surface Areas and Volumes NCERT Solutions. Practice more with CBSE Class 10 Maths most important questions, CBSE Class 10 Maths sample papers and CBSE Class 10 Maths past year papers. Get acquainted with all kinds of questions, refer to their solutions with TopperLearning’s study material and improve your skills.

**CBSE Class 10 Mathematics Chapter 13 - Surface Areas and Volumes Exercise Ex. 13.5**

TopperLearning assists students with the wholesome package of study material. Along with compulsory exercises, we also provide detailed solutions for this optional exercise. Understand these higher-order level problems and gain precision in CBSE Class 10 Maths. Tally all your solutions with Surface Areas and Volumes NCERT Solutions. CBSE Class 10 Maths doubt solver and CBSE Class 10 Maths undoubt solve all your doubts that you face while your preparation. TopperLearning’s CBSE Class 10 Maths study material makes students enjoy studying CBSE Class 10 Maths.

## Surface Areas and Volumes Exercise Ex. 13.1

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## Surface Areas and Volumes Exercise Ex. 13.2

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## Surface Areas and Volumes Exercise Ex. 13.3

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## Surface Areas and Volumes Exercise Ex. 13.4

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## Surface Areas and Volumes Exercise Ex. 13.5

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Rainfall in the valley = 10 cm = 0.1 m

Area of the valley = 7280 km^{2} = 7280000000 m^{2}

Volume of rain water = 7280 × 10 × 1/1,00,000 = 0.7280 km^{3}

Volume of three rivers = 3 × 1072 × 75/1000 × 3/1000 = 0.7236 km

Hence, the two are approximately equivalent.

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