Explain in detail the derived units - volume, density and temperature. What are derived units?

Derived units are units of measurement that are derived from the fundamental units of a system of measurement. In most systems of measurement, there are a few fundamental units that are used to define all other units. These fundamental units typically include length, mass, time, electric current, temperature, amount of substance, and luminous intensity. Derived units are created by combining these fundamental units in various ways to describe other physical quantities. Let's explore the derived units for volume, density, and temperature in detail:

Volume:

Definition: Volume is the amount of space occupied by a three-dimensional object. It is a derived unit because it can be calculated using fundamental units of length.
Formula: In the International System of Units (SI), the standard unit for volume is the cubic meter (m³). The volume of a three-dimensional object can be calculated as follows:
For regular shapes (e.g., a cube): Volume = Length × Width × Height
For irregular shapes (e.g., a liquid in a container): Volume = Area of the base × Height
Density:

Definition: Density is a measure of how much mass is contained within a given volume. It is a derived unit because it combines the fundamental units of mass and volume.
Formula: In SI units, density is typically measured in kilograms per cubic meter (kg/m³). The formula for density is:
Density (ρ) = Mass (m) / Volume (V)
It relates the amount of matter (mass) in a substance to the space it occupies (volume). For example, a substance with a high density has a lot of mass in a small volume, while a substance with a low density has less mass spread over a larger volume.
Temperature:

Definition: Temperature is a measure of the hotness or coldness of an object. It is a derived unit because it involves a scale of measurement based on the behavior of materials at different temperatures.
Units: Temperature can be measured in various units, but two common scales are Celsius (°C) and Kelvin (K).
Celsius (°C): This is a derived scale where 0°C represents the freezing point of water and 100°C represents the boiling point of water at standard atmospheric pressure.
Kelvin (K): The Kelvin scale is based on the absolute zero point, which is the lowest theoretically attainable temperature. Absolute zero is 0 K, and temperatures in Kelvin are calculated by adding 273.15 to the temperature in Celsius. It is an absolute scale because it starts from a physical constant (absolute zero) and does not have negative temperatures.
In summary, derived units are units of measurement that are formed by combining fundamental units in specific ways to describe various physical quantities. Volume combines length, density combines mass and volume, and temperature is a measure of hotness or coldness based on a temperature scale. These derived units are essential in science and engineering for quantifying and characterizing a wide range of physical properties and phenomena.