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?

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