No, it is not true.
ratio that compares 2 quantities measured in diiferent units
In mathematics, two quantities are said to be in units agreement if they have the same units of measure. For example, if two quantities are both measured in meters, then they are in units agreement. If one quantity is measured in meters and the other is measured in centimeters, then they are not in units agreement.
Physical quantities can have dimensions, which represent how they are measured or expressed in terms of fundamental units like length, mass, time, etc. These dimensions help in defining and comparing different physical quantities. For example, the dimension of speed is [Length] / [Time] as it is defined as the distance traveled per unit time.
If you intend 'dimensions' to mean units then whenever the two quantities are to be operated on each other then they must have the 'dimensions', refer to dimensional analysis
what is it
There are many instances: for example, speed is measured in kilometres per hour where the ratio is measured between a distance (measured in kilometres) and time (measured in hours). So it is no big deal except that you need to mention the units.
The seven base quantities in the International System of Units (SI) are: Length, measured in meters (m) Mass, measured in kilograms (kg) Time, measured in seconds (s) Electric current, measured in amperes (A) Temperature, measured in kelvins (K) Amount of substance, measured in moles (mol) Luminous intensity, measured in candelas (cd) These quantities form the foundation for deriving other units in science and engineering.
Its an inequality
A rate is a fraction that compares two quantities measured in different units. If the denominator of the fraction is 1 unit, the rate is called a unit rate.
no, cubic units are for three dimensional figures, hence cubic = 3 they are measured in square units, as they have only two dimensions.
Physical quantities are quantities that can be measured. For example: water, distance, etc.
No, a quantity cannot have units and still be dimensionless. The dimensions of a quantity are determined by its units, so if a quantity has units, it has dimensions. Dimensionless quantities are those without any units.