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

Class 10 Maths Chapter 13, titled “Surface Areas and Volumes”, focuses on understanding the surface area and volume of different 3D shapes like cones, cylinders, spheres, and combinations of solids. This chapter is important for students aiming to improve their problem-solving skills in geometry.

Below is a breakdown of the topics and solutions for Exercise 13.1 from Chapter 13: Surface Areas and Volumes.

Table of Contents

Topics and Subtopics in Chapter 13: Surface Areas and Volumes

Section Name	Topic Name
13	Surface Areas and Volumes
13.1	Introduction to Surface Areas and Volumes
13.2	Surface Area of a Combination of Solids
13.3	Volume of a Combination of Solids
13.4	Conversion of Solid from One Shape to Another
13.5	Frustum of a Cone
13.6	Summary and Recap of Key Concepts

Solutions for Exercise 13.1: Introduction to Surface Areas and Volumes

This exercise is an introduction to the concepts of surface areas and volumes. It covers basic formulae and how they are applied to simple solids like cubes, cuboids, and cylinders.

Key Formulas in Surface Areas and Volumes:

Surface Area of a Cube: 6a26a^2
Surface Area of a Cuboid: 2(lb+bh+hl)2(lb + bh + hl)
Surface Area of a Cylinder: 2πr(h+r)2\pi r(h + r)
Volume of a Cube: a3a^3
Volume of a Cuboid: l×b×hl \times b \times h
Volume of a Cylinder: πr2h\pi r^2 h

Download the Solutions PDF

For your convenience, NCERT Solutions for Class 10 Maths Chapter 13 are available in PDF format. You can download the PDF to access all the step-by-step solutions for the exercises:

ch13-1