That's the way they are defined in the SI - and in most systems of units. In the SI, the meter is the unit for length, and it is a base unit; square that, and you have a unit of area. Of course, you could also proceed the other way round: define an area as a base unit, and take the square root of that as a (derived) unit of length; but the people who designed the SI decided to do it that way and not the other. Probably because it's easier to measre a length.
Volume
The Volume increases faster than the Surface Area
quantity units symbol area square meter m2 volume cubic meter m3
Area is proportional to a linear dimension squared, whereas volume is proportional to the linear dimension cubed. Thus, as a cell (or any object) increases in size, its volume grows proportionately more than its surface area.
To find the volume of 25 pennies you will need to know the diameter and thickness of a penny. Calculate the radius by dividing the diameter in 1/2. Multiply the square of the radius by pi to find the area and then the area by the thickness to determine the volume.
These quantities are referred to as physical quantities in the field of physics. They are measurable properties that can be described using mathematical values and units. Area and volume are examples of scalar physical quantities, while velocity is an example of a vector physical quantity.
Some examples of derived quantities are velocity (which is derived from distance and time), acceleration (derived from velocity and time), density (derived from mass and volume), and pressure (derived from force and area).
They are used to measure quantities that are not basic. Length, for example, is a basic unit, but area and volume are not so derived units will be used to measure area and volume.
They are used to measure quantities that are not basic. Length, for example, is a basic unit, but area and volume are not so derived units will be used to measure area and volume.
Basic or fundamental quantities are seven in number. They cannot be derived right from one another. Hence they are independent. They are length, mass, time, electric current, temperature, quantity of substance, luminosity. Two sub are there. They are plane angle and solid angle. But derived are many in number. Just by the name they are derived right from the fundamental. They are area, volume, velocity, acceleration, force, momentum, magnetic induction, electric field, dipole moment, pressure, density etc etc
Area and speed are derived quantities because they are obtained by combining base quantities. Area is derived from multiplying two length measurements, while speed is derived from dividing a length measurement by a time measurement. These derived quantities are built upon the fundamental base quantities of length and time.
There are no S.I. base units for area or volume because they are derived quantities, calculated from base units. Area is derived from the square of length (meters squared), and volume is derived from the cube of length (meters cubed). The S.I. system focuses on a limited set of base units to maintain simplicity and consistency, allowing for a wide range of derived units to be expressed in relation to these fundamental measurements.
Derived quantities are quantities that are calculated from two or more measurements. They include area, volume, and density. The area of a rectangular surface is calculated as its length multiplied by its width. The volume of a rectangular solid is calculated as the product of its length, width, and height.
A derived quantity is one that is derived from others. For example, the meter is the official unit of length; since area can be defined as a length squared, that's exactly how the area is defined in the SI, i.e., it is measured in square meters. Similarly, a speed is measured in meters/second (both meters and seconds are defined as base quantities).
It is area and density.
the quantities that are expressed in term of base quantities are called derived quantities e.g area volum speed force energy
Base quantities (Scalar Quantities) :Independent quantities who have single standard units.- time /seconds-distance/metersDerived Quantities (Vector Quantities):Quantities derived by multiplying or dividing 2 base quantities.- Velocity = distance/timeunit of Velocity = m/s