Go to the calculator
Dose to Volume

10 mg in 3 mL

At most 3.333 mg/mL, which puts 333.3 mcg in each tenth of a millilitre. A 500 mcg amount is at least 0.150 mL, which is at least 15.00 units on a U-100 barrel.

Educational arithmetic only. Not medical advice and not a dosing protocol.

The strength this pair reaches, three ways. Every figure is an upper bound: the solid takes up room once it dissolves, so the finished solution is larger than 3 mL and the real strength is this or lower.
Expressed asAt most
Milligrams per millilitre3.333 mg/mL
Micrograms per millilitre3333.3 mcg/mL
Micrograms in a tenth of a millilitre333.3 mcg

Before you act on that number

This is educational arithmetic on figures entered by the reader. It is not medical advice, not a dosing protocol, and not a recommendation that anything be prepared, obtained or administered.

Nothing here states what quantity is appropriate for anyone, and there is no function in it that produces an amount to administer. A question about anyone’s health belongs with a licensed clinician who can examine the person asking.

Compounds of the kind this arithmetic is used on are largely research chemicals that are not approved by the FDA for human use. An exact calculation is not an accurate measurement: what is actually in a syringe depends on the preparation and the device, neither of which this page can see.

Seven amounts out of this vial. Each volume is at least the figure shown, because it was derived from a strength that is at most the figure above. Reading across gives the volume, then the same volume in microlitres, then the mark on three barrels.
AmountAt least, mLAt least, µLU-100U-50U-40
100 mcg0.030303.001.501.20
250 mcg0.075757.503.753.00
500 mcg0.15015015.007.506.00
750 mcg0.22522522.5011.259.00
1 mg0.30030030.0015.0012.00
1.5 mg0.45045045.0022.5018.00
2.5 mg0.75075075.00past the barrel30.00

What is particular to this pair

Ten milligrams in three millilitres is the one pair here that produces a recurring decimal: exactly ten thirds of a milligram per millilitre, which is 3.333... mg/mL. This site holds that as the fraction it is and rounds once at the end, so the volumes below are right rather than nearly right.

Ten thirds of a milligram per millilitre is the one arrangement here where the recurring decimal reaches the barrel. A 500 mcg amount is 0.15 mL to two decimal places and 0.149999... if the strength is rounded first, which is one printed mark apart on a U-100. Holding the strength as a fraction and rounding once is what keeps the table below right.

Why the figures above say "at most" and "at least"

The finished solution is 3 mL of diluent plus the room the dissolved solid takes up, and nobody measured the second part. So the finished volume is at least 3 mL, the strength is at most 3.333 mg/mL, and every volume derived from it is at least the figure shown - which is the useful direction, because it means a reader drawing one has not drawn more than intended.

Why a derived strength is a ceiling covers the size of the gap, and vial into a strength has a field for the measured finished volume that removes the question.

The same vial, other ways in