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Weight is measured in units called Newton, while mass is measured in units called grams and kilograms.
The length, width, or height of a solid figure is measured in units of length. The area of the figure's outside surfaces is measured in squared units of length. The volume of space filled by the figure is measured in cubed units of length. The mass of the figure is measured in units of mass. The weight of the object is measured in units of force. The age of the figure is measured in units of time. etc.
None. Area cannot be measured in length units - only in squares of such units.
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.
Svedberg units.