Topics
Number Systems
Real Numbers
Algebra
Pair of Linear Equations in Two Variables
 Linear Equations in Two Variables
 Graphical Method of Solution of a Pair of Linear Equations
 Substitution Method
 Elimination Method
 Cross  Multiplication Method
 Equations Reducible to a Pair of Linear Equations in Two Variables
 Consistency of Pair of Linear Equations
 Inconsistency of Pair of Linear Equations
 Algebraic Conditions for Number of Solutions
 Simple Situational Problems
 Pair of Linear Equations in Two Variables
 Relation Between Coefficient
Arithmetic Progressions
Quadratic Equations
 Quadratic Equations
 Solutions of Quadratic Equations by Factorization
 Solutions of Quadratic Equations by Completing the Square
 Nature of Roots
 Relationship Between Discriminant and Nature of Roots
 Situational Problems Based on Quadratic Equations Related to Day to Day Activities to Be Incorporated
 Quadratic Equations Examples and Solutions
Polynomials
Geometry
Circles
 Concept of Circle  Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
 Tangent to a Circle
 Number of Tangents from a Point on a Circle
 Concept of Circle  Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
Triangles
 Similar Figures
 Similarity of Triangles
 Basic Proportionality Theorem Or Thales Theorem
 Criteria for Similarity of Triangles
 Areas of Similar Triangles
 Rightangled Triangles and Pythagoras Property
 Similarity Triangle Theorem
 Application of Pythagoras Theorem in Acute Angle and Obtuse Angle
 Triangles Examples and Solutions
 Angle Bisector
 Similarity
 Ratio of Sides of Triangle
Constructions
Trigonometry
Heights and Distances
Trigonometric Identities
Introduction to Trigonometry
Statistics and Probability
Probability
Statistics
Coordinate Geometry
Lines (In Twodimensions)
Mensuration
Areas Related to Circles
Surface Areas and Volumes
definition
 Volume: Amount of space occupied by a threedimensional object is called its volume.
 Capacity: Capacity means the ability of the hollow object to hold substance, i.e., solid, liquid, or gas. It is a measure, that ascertains the amount of space available in a container, that can be filled with matter.
notes
Volume:

The measure of this occupied space is called the Volume of the object.

The volume of an object is the measure of the space it occupies, and the capacity of an object is the volume of substance its interior can accommodate.

It is nothing but space, taken up by the substance which can be solid, liquid, or gas.

Hence, the unit of measurement of either of the two is a cubic unit.

Both solid and hollow objects have volume.
Capacity:

Capacity means the ability of the hollow object to hold substance, i.e., solid, liquid, or gas. It is a measure, that ascertains the amount of space available in a container, that can be filled with matter.

Measured in metric units such as liters, gallons, etc.

Only hollow objects have the capacity.

1 mL = 1 cm^{3},
1 L = 1000 cm^{3},
1 m^{3} = 1000000 cm^{3} = 1000 L.