In practice, the relevant arithmetic is concentration equals vial content divided by diluent volume, and content is not the same as label claim.
The other direction: 10 mg in 3 mL is 3.33 mg/mL, and a 0.5 mg dose becomes 0.15 mL, or 15 units. More barrel, easier reading, and a larger fraction of the vial volume lost to dead space across the same number of draws.
Content matters. If the same 10 mg vial assays at 94 per cent content, you have 9.4 mg. In 2 mL that is 4.7 mg/mL, and a nominal 0.5 mg draw of 10 units actually delivers 0.47 mg — a six per cent shortfall that no amount of careful drawing will fix.
Nominal vial volumes in the standard 2R and 3R glass sizes have published brimful capacities well above the nominal fill, but the usable volume is bounded by the stopper displacement.
Do not change the diluent volume between vials of a titration without recalculating; it is the commonest source of a ten-fold error.
Choose the volume that puts your largest intended dose between 10 and 30 units. Everything else follows.
edited 14 Aug 2026 by fiadh_cronin — updated for the 2026 guidance change