# What is the general term for concepts like length, area and volume?

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?

• Volume $\phantom{I don't want to make short comments}$ – Thomas Rot Jan 11 '16 at 16:22
• I have seen the word "content" to refer to this concept. – Tim Raczkowski Jan 11 '16 at 16:24
• Measure?${}{}{}$ – TonyK Jan 11 '16 at 16:25

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
• I made this a CW so if you want to add more just edit them in. – user137731 Jan 11 '16 at 16:35
• So can I say something like "the 3-dimensional Lebesque measure of a sphere is its volume, and its 2-dimensional Lebesque measure is its surface area?" – Somatic Jan 11 '16 at 16:38
• I would say the "Lebesgue measure of the region bounded by a sphere is its volume and the Lesbesgue measure of a sphere is its surface area". Though if it's clear from context (which in this case it is) I wouldn't even write the word Lebesgue. – user137731 Jan 11 '16 at 16:39
• Some ancient stock. on Mensuration , (to define and measure basic units of length, area and volume.) Text-book on Practical, Solid Or Descriptive Geometry, David Allan Low, Vol 2 – Narasimham Jan 11 '16 at 16:45

'Mensuration' is the term for measurement of length, area, and volume etc.