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Dosage by weight calculator

Dose by weight from a mg/kg rate and body weight, capped at the single and daily maximum, with the liquid volume in mL for a given strength.

Updated Checked against 7 worked examples

mg/kg
mg
From the label or prescription; leave blank if none is given.
mg
mg
E.g. 160 mg in 5 mL. Leave both blank for tablets.
mL
Try
Calculated dose
mg
Calculated dose: 300 mg
Shown to up to 2 decimal places, half-up
Liquid volume per dose
9.38mL
Every
6 h
Total per day
1,200mg
Weight-based dose before limits
300mg
Limit applied
None
Not medical advice. Check every dose against the prescription or the product label, and ask a pharmacist or doctor if they differ.

The calculated dose is 300 mg (9.38 mL) every 6 hours, 4 times a day, 1,200 mg in total.

Dose compared with the limits (mg)

Weight-based300 mgMaximum single dose1,000 mgDaily maximum ÷ doses1,000 mgCalculated dose300 mg

Amount taken over 24 hours

01,0002,0003,0004,00005101520HourmgMaximum per day
How it's calculated S
  1. Weight × dose rate

    20 kg×15 mg/kg=300 mg20\ \text{kg} \times 15\ \text{mg/kg} = 300\ \text{mg}
  2. Apply the limits

    min⁡(300, 1,000, 4,0004)=300 mg\min\big(300,\ 1{,}000,\ \tfrac{4{,}000}{4}\big) = 300\ \text{mg}

    No limit reached.

  3. Convert to liquid volume

    300 mg×5 mL160 mg=9.375 mL300\ \text{mg} \times \frac{5\ \text{mL}}{160\ \text{mg}} = 9.375\ \text{mL}

    Measure with an oral syringe or the device supplied, not a kitchen spoon.

  4. Daily total

    300×4=1,200 mg/day300 \times 4 = 1{,}200\ \text{mg/day}

About the dosage by weight calculator

A weight-based dose is body weight in kilograms times the prescribed rate in mg/kg, given either per dose or per day and divided into doses. The result is capped at the maximum single dose and at the daily maximum divided by the number of doses, whichever is lower. For a liquid it is converted to millilitres with the product strength: dose × mL ÷ mg.

It is used to check a calculated dose against a prescription or product label. With the defaults, 20 kg at 15 mg/kg gives 300 mg, which is 9.38 mL of a 160 mg per 5 mL liquid, taken 4 times a day for 1,200 mg in total.

The rate, the maximums and the strength must come from the prescription or the label; the calculator holds no dosing information for any medicine. The BNF for Children notes that a calculated child's dose should not exceed the adult maximum, which is why the caps apply.

Worked examples

20 kg at 15 mg/kg, 160 mg/5 mL

Weight
20 kg
The mg/kg figure is
Per dose
Dose rate
15 mg/kg
Doses per day
4
Maximum single dose
1000 mg
Maximum per day
4000 mg
Liquid strength: amount
160 mg
Liquid strength: per volume
5 mL
Calculated dose
300 mg
Liquid volume per dose
9.38 mL
Total per day
1,200 mg
Limit applied
None
Every
6 h

Checked against: Python 3.8 decimal: 20 × 15 = 300 mg; 300 × 5 / 160 = 9.375 mL; 300 × 4 = 1200 mg; 24 h / 4 = 21600 s

Edge: single-dose cap reached

Weight
80 kg
The mg/kg figure is
Per dose
Dose rate
15 mg/kg
Doses per day
4
Maximum single dose
1000 mg
Maximum per day
4000 mg
Liquid strength: amount
100 mg
Liquid strength: per volume
1 mL
Weight-based dose before limits
1,200 mg
Calculated dose
1,000 mg
Liquid volume per dose
10.00 mL
Limit applied
Maximum single dose

Checked against: Python 3.8 decimal: min(80 × 15, 1000) = 1000 mg; 1000 × 1 / 100 = 10 mL

Edge: daily cap reached

Weight
50 kg
The mg/kg figure is
Per dose
Dose rate
20 mg/kg
Doses per day
4
Maximum single dose
1000 mg
Maximum per day
3000 mg
Liquid strength: amount
160 mg
Liquid strength: per volume
5 mL
Weight-based dose before limits
1,000 mg
Calculated dose
750 mg
Total per day
3,000 mg
Liquid volume per dose
23.44 mL
Limit applied
Maximum daily dose

Checked against: Python 3.8 decimal: min(50 × 20, 1000, 3000 / 4) = 750 mg; 750 × 5 / 160 = 23.4375 mL

Per-day rate split three ways, no maximums

Weight
12 kg
The mg/kg figure is
Per day, split into doses
Dose rate
40 mg/kg
Doses per day
3
Liquid strength: amount
250 mg
Liquid strength: per volume
5 mL
Calculated dose
160 mg
Total per day
480 mg
Liquid volume per dose
3.20 mL
Every
8 h

Checked against: Python 3.8 decimal: 12 × 40 / 3 = 160 mg; 160 × 5 / 250 = 3.2 mL; 24 h / 3 = 28800 s

Questions

How do you calculate a dose by weight?

Multiply body weight in kilograms by the dose rate in mg/kg. A 20 kg child at 15 mg/kg gets 20 × 15 = 300 mg per dose. If the rate is per day, divide by the number of doses: 12 kg at 40 mg/kg/day in 3 doses is 480 mg a day, or 160 mg per dose. Convert pounds to kilograms first; 44 lb is 19.96 kg.

How do you work out how many mL of liquid medicine to give?

Divide the dose in mg by the strength in mg per mL. A 300 mg dose of a 160 mg per 5 mL liquid is 300 × 5 ÷ 160 = 9.375 mL, about 9.4 mL. The FDA's 2011 guidance for over-the-counter liquid medicines asks for a measuring device marked in the same units as the label directions, which is why an oral syringe or the supplied cup is used rather than a kitchen spoon.

Why is a child's weight-based dose capped?

Because a heavier child's mg/kg dose can exceed the adult dose. The BNF for Children advises that calculated doses should not exceed the adult maximum: at 8 mg/kg with a 300 mg maximum, a 10 kg child receives 80 mg, but a 40 kg child receives 300 mg rather than 320 mg. This calculator applies both a single-dose and a daily maximum and shows which limit, if any, reduced the dose.

What is the difference between mg/kg per dose and per day?

A per-dose rate gives the amount for each dose; a per-day rate gives the total for 24 hours, which is then divided by the number of doses. At 40 mg/kg, a 12 kg child would get 480 mg per dose on a per-dose reading but 160 mg per dose if the 40 mg/kg is per day in three doses, a threefold difference. Prescriptions state which applies, often as mg/kg/dose or mg/kg/day.

How accurate is the dosage by weight calculator?

Accuracy depends on your inputs and the method's assumptions. Decimal arithmetic uses 50 significant digits, but estimates, numerical methods and source data can be less precise; the displayed rounding does not remove those limits. It is checked against 7 worked examples whose answers come from independent sources; for example, “20 kg at 15 mg/kg, 160 mg/5 mL” is checked against Python 3.8 decimal: 20 × 15 = 300 mg; 300 × 5 / 160 = 9.375 mL; 300 × 4 = 1200 mg; 24 h / 4 = 21600 s.

Where does the method come from?

BNF for Children — General guidance, prescribing in children: calculated doses should not exceed the adult maximum (worked example 8 mg/kg, max 300 mg); US FDA — Dosage delivery devices for orally ingested OTC liquid drug products (guidance for industry, 2011).

About this calculator

dose=min⁡ ⁣(w⋅r, maxsingle, maxdayn),V=dose×mLmg\text{dose} = \min\!\Big(w \cdot r,\ \text{max}_{\text{single}},\ \frac{\text{max}_{\text{day}}}{n}\Big),\qquad V = \text{dose} \times \frac{\text{mL}}{\text{mg}}

Sources

  1. BNF for Children — General guidance, prescribing in children: calculated doses should not exceed the adult maximum (worked example 8 mg/kg, max 300 mg)
  2. US FDA — Dosage delivery devices for orally ingested OTC liquid drug products (guidance for industry, 2011)

For information only, not medical advice. These formulas describe populations, not you; talk to a clinician before acting on a result.

Checked against references

7 worked examples with independently sourced answers ship with this calculator. They run in the test suite; you can run them here too.

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