Theory:

Area: A measure of how much space there is on a flat surface is known as area.
The area of the plot of land is measured by multiplying the length and breadth.
\(Area =\) \(length\) \(×\) \(breadth\).
Unit of area \(= \) metre \(×\) metre \(=\) metre² or m².
Area of regularly shaped figures can be calculated using the relevant formulae.
Some of the area of regularly shaped figure are showned below.
area.PNG
 
Area of irregular shapes can be obtained by drawing an outline of the shape of the object on a graph paper of 1 square centimetre marked as a square. And counting the number of squares will give the area of irregular shapes
Example:
Area of the stickers of stars.
xzxc.PNG
 
Volume: A volume is the amount of space occupied by any three dimensional object.
Volume \(=\) surface area \(×\) height.
Unit of volume \(=\) metre \(×\) metre \(×\) metre  \(=\) metre³ or m³.
Volume of regularly shaped figures can be calculated using the relevant formulae.
Some of the volume of regularly shaped figure are showned below.
volum.PNG
Volume of irregularly shaped objects are measured using the law of Archimedes.
For such cases, their volume can be determined using a measuring cylinder and water.
A volume of a liquid is equal to the volume of space it fills in the container.
Example:
Fill the water in a measuring container and it is used to measure the water in mililitre or litre.
Where \(1L =\) \(1000\) \(cubic\) \(centimetre\) or \(cm^3\).