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.
derived quantities
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.
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.
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
Area is length x length, or length squared.
An area, in its simplest form is derived by multiplying together two lots of the basic quantities - lengths.
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
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
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
Because volume is derived from length. Meters ^3 is volume, just like m^2 is for surface area.