The formula
Volume (mL) = (Desired dose ÷ dose On hand) × Quantity (mL)
How to solve it
- Read the concentration from the label: strength per volume (e.g. 250 mg per 5 mL).
- Set up dimensional analysis: ordered mg × (labeled mL ÷ labeled mg).
- Cancel mg and multiply/divide to get milliliters.
- Round to a volume the syringe can measure (usually tenths of a mL).
Common mistakes
- Using the strength (mg) as the answer volume instead of multiplying by the mL the strength comes in.
- Dropping the leading zero on volumes under 1 mL — write 0.5 mL, never .5 mL.
- Not matching units before dividing.
Safety check: Always write volumes under 1 mL with a leading zero (0.5 mL). A missing zero is a classic ten-fold dosing error.