[Math] the general term for concepts like length, area and volume

Question

In geometry, we have concepts such as length (of a 1-dimensional line), area (of a 2-dimensional square) and volume (of a 3-dimensional cube).

What is the general term for these concepts, such that we could say something like: the (general term) of a 2-dimensional object is area; or, the (general term) of a 3-dimensional object is volume?

Answer 1

Here's a list of terms that would work

• Content
• Area
• n-Area
• n-Dimensional Area
• Generalized Area
• Volume
• n-Volume
• n-Dimensional Volume
• Generalized Volume
• Measure
• Lebesgue Measure