I finished gen chem last spring so I have erase most of that sector of my memory already, but it seems to me you have all the information you need.
You have a diagram so you should be able to figure out how many atoms of each element you have in a unit cell, atoms/cell, which you can convert to moles/cell by dividing by Avogadros number.
You have density, g/cm^3
You also know the molecular weight, g/mole.
(g/mole) x (cm^3/g) x (mole/cell) = cm^3/cell.
(cm^3/g) is just 1/density.
answer = cube root of cm^3/cell.
Do you think that would work?