An Etymological Dictionary of Astronomy and Astrophysics

The amount of space occupied by a three-dimensional object or region of space, expressed in cubic units.

Etymology (EN): M.E. volum(e), from O.Fr. volume, from L. volumen (genitive voluminis) “roll (as of a manuscript), coil, wreath,” from volvere “to turn around, roll.”

Etymology (PE): Gonj “volume,” gonjidan “to be contained or held; to hold;”
gonjâyeš “capacity, holding, containing;”
Mid.Pers. winj- “to be contained;” Proto-Iranian *uiac-/*uic-; cf. Skt. vyac- “to contain, encompass,” vyás- “extent, content, extension;” L. uincire “to bind.”