CalcOpenly
English

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.

Drafted with AI writing toolsUpdated Checked examples: 7

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
Maximum decimal places: 2; Nearest, ties away from zero
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.

How to calculate a dose by weight

Multiply body weight in kilograms by the dose rate in mg/kg. At 15 mg/kg, a 20 kg child's dose is 20 × 15 = 300 mg. If the rate is per day, divide by the number of doses, then cap the result at the maximum single and daily dose. The rate, maximums and strength must come from the prescription or label.

These steps check arithmetic only and hold no dosing information for any medicine. If your result differs from the prescription or label, ask a pharmacist or doctor before giving the dose.

Is the rate per dose or per day?

Prescriptions write the rate as mg/kg/dose or mg/kg/day. A per-dose rate gives the amount for each dose; a per-day rate gives the 24-hour total, which you divide by the number of doses.

For a 12 kg child at 40 mg/kg/day in 3 doses, the day's total is 12 × 40 = 480 mg, or 160 mg per dose. Reading the same 40 mg/kg as per dose gives 480 mg every time, three times the intended amount.

Convert pounds to kilograms first

Rates are per kilogram, so multiply a weight in pounds by 0.45359237. A 44 lb child weighs 19.96 kg, and at 15 mg/kg the dose is 299.4 mg.

Multiplying the pound figure by the rate instead gives 44 × 15 = 660 mg, 2.2 times too much.

How maximum doses cap the result

The dose is the smallest of three numbers: weight × rate, the maximum single dose, and the maximum daily dose divided by the number of doses.

  • Single-dose cap. The BNF for Children advises that a calculated child's dose should not exceed the adult maximum. At 8 mg/kg with a 300 mg maximum, a 10 kg child gets 80 mg, but a 40 kg child gets 300 mg, not 320 mg.
  • Daily cap. At 50 kg and 20 mg/kg, the weight-based dose is 1,000 mg. With 4 doses and a 3,000 mg daily maximum, each dose is limited to 3,000 ÷ 4 = 750 mg.

Most labels give an adult maximum that a weight-based dose must not exceed. Leaving a maximum blank skips that check; it does not mean the medicine has no limit.

How to convert mg to mL

Divide the dose by the liquid's strength: mL = dose in mg × mL in the strength ÷ mg in the strength. A 300 mg dose of a 160 mg per 5 mL liquid is 300 × 5 ÷ 160 = 9.375 mL, about 9.4 mL.

A stronger liquid needs less volume for the same dose: at 320 mg per 5 mL, 300 mg is 4.69 mL. Check the strength on the bottle every time the product changes.

Measure with an oral syringe or the device that came with the medicine, not a kitchen spoon. The FDA's guidance on dosing devices asks for a device marked in the same units as the label directions.

If the volume falls between the device's markings, ask the pharmacist how to round it.

How often: the dosing interval

Dividing 24 hours by the number of doses gives an evenly spaced schedule: 4 doses a day is every 6 hours, 3 doses every 8 hours. Where a label says "up to" a number of doses, "as needed" or gives set times, follow the label.

Three worked cases

  • Default: 20 kg, 15 mg/kg per dose, 4 doses a day, 160 mg in 5 mL, maximums of 1,000 mg per dose and 4,000 mg a day.
  • Daily cap: 50 kg, 20 mg/kg per dose, 4 doses a day, 3,000 mg daily maximum.
  • Per-day example: 12 kg, 40 mg/kg/day in 3 doses, 250 mg in 5 mL, no maximums.

These are hypothetical numbers for checking the arithmetic, not doses for any medicine.

ScenarioCalculated dose (mg)Liquid volume (mL)Total per day (mg)
Default3009.381200
Daily cap75023.443000
Per-day example1603.20480

Checklist before giving a dose

  • The rate is per dose or per day, as written on the prescription.
  • The weight is in kilograms, or converted from pounds.
  • The strength matches the bottle in your hand.
  • The answer is in mL for a liquid; mg is the amount of drug, not a volume.
  • No other product being given contains the same ingredient; if one does, it counts toward the daily maximum.

The body surface area calculator estimates BSA, the body-size measure behind doses written in mg per m². The BMI calculator relates weight to height.

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: 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: 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: 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: 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.

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

This calculator includes 7 worked examples with independently sourced answers. They run in the test suite, and you can run them here too.

Put this calculator on your site

Paste this where you want the calculator to appear. It is free to use, it stays in step with corrections made here, and the credit line below it links back so your readers can find the full version.

Height
Preview the embed

Keep the credit line. It is the only condition, and it is what keeps these calculators free.