Our first measuring instruments would have been our hands, then large leaves, empty plant and animal shells - gourds, seed husks, turtle shells, skulls, and so on.
well, it depends on how "massive" of the mass, if it is very big, you can use a loadometer or weighbridge, if it is not big enough, a normal balance will do it.
Science laboratories use lots of tools to measure volumes. Some of these include (in order from least accurate to most accurate) Beakers Flasks Graduated Cylinders Pipettes There are many more...