Embibe Big Book for Mathematics for Jammu and Kashmir Board Class 9

Mathematics

Surface Areas and Volumes

This chapter deals with the concept of surface area and volume of three-dimensional figures. It consists of various formulae which are used to calculate the surface area and volume of a cube, cuboid, cylinder, sphere, cone, etc.

This topic highlights some methods of finding the surface area and volume of a cuboid. We need to have the information about its side lengths to find its surface area and volume. It also covers some solved examples for a better grasp.

Surface Area and Volume of Cuboid

This topic covers the formula to find the surface area and volume of a right circular cylinder. We will also deal with some examples in which we have to find the height or radius of a cylinder whose surface area or volume is given to us.

Surface Area and Volume of Right Circular Cylinder

In this topic, we will explore the methods of finding the surface area and volume of a right circular cone. We will also discuss some examples in which we have to apply these formulas to get the desired result.

Surface Area and Volume Right Circular Cone

From this topic, we will learn how to find the surface area and volume of a sphere whose radius is given to us. It also contains some word problems to enhance our knowledge based on the different properties of a sphere.

Surface Area and Volume of Sphere

A Textbook of Mathematics For Class 9

MATHEMATICS Textbook for Class IX

Surface Area of Hemisphere

Surface Area of a Sphere

Surface Area of a Pyramid

Total Surface Area of a Cone

Curved Surface Area of a Cone: Examples

Curved Surface Area of a Cone

Surface Area of a Right Prism

Surface Area of a Cylinder:Examples

Introduction to Area of a Cylinder

This chapter covers topics such as , Introduction to Coordinate Geometry &amp; Cartesian System, Slope and Intercepts, Graphical Solution of Linear Equations, Graph of Linear Equations in two Variables, Distance Formula and its Application.

Coordinate Geometry

The chapter introduces Heron’s formula found in the year 60 AD. We will learn how this formula is helpful for us in conducting geometrical calculations.

Heron's Formula

This chapter talks about the techniques of construction. We will learn that construction involves the drawing of various shapes using only a pair of compass and straight-edge or ruler.

Constructions

The chapter introduces a circle and its characteristics. Further, it explains the set of those points in a plane which are equidistant from a fixed point in the plane.

Circles

In this chapter, we will study the various formulas that are used to find out the area of parallelograms and triangles. It discusses some properties of triangles and parallelograms. It also covers some examples for the detailed explanation.

Areas of Parallelograms and Triangles

In this chapter, we will learn about quadrilaterals. A quadrilateral, sometimes also known as a tetragon or quadrangle (Johnson 1929), is a four-sided polygon. It states that all four polygon vertices are generally taken to lie in a plane.

Quadrilaterals

This chapter defines triangles and describes their properties. A triangle is a shape which is formed by three non-parallel lines. The three corners of a triangle are known as three internal angles.

Triangles

This chapter defines lines and angles. We will learn that a line is of infinite length that starts from infinity and ends at infinity. On the other hand, an angle is the combination of two non-collinear rays which meets at a common point.

Lines and Angles

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Surface Areas and Volumes

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