Accepted answer
It gives 6.67 mg/mL, and whether that is sensible depends on the dose you will draw from it. 20 ÷ 3 = 6.67 mg/mL in bacteriostatic water. A 0.5 mg dose is then 7.5 units on a U-100 barrel and a 1 mg dose is 15 units. Both land in a readable part of the barrel, which is the whole point of choosing the volume deliberately.
The part that matters: this is the one decision in the whole preparation sequence that cannot be revised later, which is why it is worth thirty seconds of arithmetic.
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.
Dead space by syringe type
| Configuration | Dead volume | Loss at 5 mg/mL | Over 20 draws |
|---|
| Fixed-needle insulin syringe | 3–5 µL | 15–25 µg | 0.3–0.5 mg |
| Low-dead-space, detachable | <2 µL | <10 µg | <0.2 mg |
| Standard luer-lock + 30G | 35–60 µL | 175–300 µg | 3.5–6 mg |
| Luer-lock + 21G drawing needle | 70–100 µL | 350–500 µg | 7–10 mg |
Round to a diluent volume you can measure accurately. Measuring 1.00 mL on a 1 mL syringe is reliable; measuring 1.37 mL on anything is not, and the error propagates into every dose.
Insulin syringe barrel graduations are typically 1 unit on a 0.3 mL barrel, 1 unit on a 0.5 mL barrel and 2 units on a 1 mL barrel, which is why the barrel size changes what is readable.
Do not change the diluent volume between vials of a titration without recalculating; it is the commonest source of a ten-fold error.
Measure a volume you can actually measure. Round numbers, real syringes.