Question

How to arrange elements in order of increasing atomic volume?

Answer 1

Atomic radius decreases across a Period from left to right as we face the Table, and INCREASES down a Group. You can use the Periodic Table for immediate ordering of atomic radii on this simple basis/

Second Period beryllium is definitely smaller than third Period magnesium, but Group 2 metal magnesium is definitely smaller than Group I metal sodium.

So in order of increasing atomic radius: Be < Mg < Na.

See this site for actual numbers. As a chemist, as a physical scientist, you should always have a handle on the relevant data.