Pediatric Dosage Calculations

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⚖️ Weight-Based and Pediatric Dosage Calculations

Many doses depend on the patient’s size. Children’s doses are almost always based on weight, and some adult drugs are too. Because a child’s safe range is narrow, nurses also check every pediatric order against the recommended range before giving it.

This lesson covers doses per kilogram, daily doses split into several doses, checking whether an order is safe, body surface area (BSA), and maintenance fluids. The numbers in the examples are for practice only; always use the range in your drug reference and your facility’s policies.

⚖️ Doses per Kilogram

The weight must be in kilograms before you start.

dose = (amount per kg) × weight in kg

mg/kg per dose

When the order or reference says mg/kg (or mg/kg/dose), multiply by the weight in kilograms to get one dose. Then calculate the volume to give with the dosage formula.

  1. Change the weight to kg (lb ÷ 2.2), rounded to the nearest tenth.
  2. Multiply by the mg/kg.
  3. Calculate the amount to give.
A child weighs 44 lb. Order: 15 mg/kg per dose. Label: 100 mg per 5 mL.
Weight: 442.2 = 20 kg → Dose: 15 × 20 = 300 mg → Volume: 300100 × 5 mL = 15 mL

Watch out: Multiplying by the weight in pounds. That gives a dose 2.2 times too large.

Micrograms per kilogram

Very small patients and strong drugs are often dosed in mcg/kg. The math is the same; just keep track of mcg versus mg.

A newborn weighs 3,200 g. Order: 10 mcg/kg. → 3,200 g = 3.2 kg → 10 × 3.2 = 32 mcg
An adult weighs 80 kg. Order: 5 mg/kg. → 5 × 80 = 400 mg

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📅 Daily Doses Split into Doses

When the amount is per day, find the daily total first, then divide by the number of doses.

Order saysDoses per dayOrder saysDoses per day
every 12 hours (q12h), BID2every 6 hours (q6h), QID4
every 8 hours (q8h), TID3every 4 hours (q4h)6

mg/kg/day in divided doses

Doses per day = 24 ÷ the number of hours between doses. Multiply the mg/kg/day by the weight to get the total for the day, then divide by the doses per day.

Order: 25 mg/kg/day in 2 divided doses. Child: 20 kg.
Daily: 25 × 20 = 500 mg/day → Each dose: 500 mg2 = 250 mg
Order: 40 mg/kg/day divided q8h. Child: 15 kg.
Daily: 40 × 15 = 600 mg/day → q8h = 3 doses → 6003 = 200 mg per dose

Watch out: Giving the whole daily amount as one dose.

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✅ Is the Order Safe?

Before giving a pediatric medicine, nurses check the order against the recommended range in a drug reference.

Checking a safe dose range

A reference gives a range, like 50 to 100 mg/kg/day. Calculate the low end and the high end for this child, then see whether the order falls between them. Compare like with like: a daily amount with a daily amount, or a single dose with a single dose.

  1. Change the weight to kg.
  2. Low end: low mg/kg × kg. High end: high mg/kg × kg.
  3. If the range is per day, divide both by the doses per day to get the safe single-dose range (or multiply the ordered dose by the doses per day).
  4. Compare. Inside the range: safe to calculate and give. Outside: hold it and contact the provider.
Reference: 50 to 100 mg/kg/day divided q6h. Child: 10 kg. Order: 200 mg q6h.
Daily range: 50 × 10 = 500 mg to 100 × 10 = 1,000 mg → per dose (÷ 4): 125 to 250 mg
200 mg is inside the range → safe
Reference: 25 to 50 mg/kg/day divided q6h. Child: 22 kg. Order: 350 mg q6h.
Daily range: 550 to 1,100 mg → per dose: 137.5 to 275 mg
350 mg is above the range → not safe; hold and call the provider

Watch out: Comparing a single dose with a daily range. 200 mg looks safe next to “500 to 1,000 mg,” but that range is for the whole day.

Maximum doses

Some references give a maximum, like “do not exceed 4 g per day.” Multiply the ordered dose by the doses per day and compare with the maximum.

Order: 650 mg every 4 hours. Maximum: 4 g/day. → 6 doses × 650 = 3,900 mg = 3.9 g → under 4 g, within the maximum.

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📐 Body Surface Area (BSA)

Some drugs, such as many chemotherapy drugs, are dosed per square meter (m²) of body surface area.

BSA (m²) = √height (cm) × weight (kg)3,600    or    √height (in) × weight (lb)3,131

Calculating BSA (Mosteller formula)

Multiply the height by the weight, divide, then take the square root (the √ key on a calculator). Use the 3,600 formula with cm and kg, or the 3,131 formula with inches and pounds. Round BSA to the hundredth.

Child: 120 cm and 25 kg → √120 × 253,600 = √3,0003,600 = √0.8333 = 0.9129 ≈ 0.91 m²
Adult: 175 cm and 70 kg → √12,2503,600 = √3.4028 ≈ 1.84 m²
Child: 48 in and 55 lb → √2,6403,131 = √0.8432 ≈ 0.92 m²

Watch out: Mixing the formulas, such as cm and lb with 3,600. Use cm with kg, or inches with pounds.

Dose by BSA

Multiply the dose per m² by the BSA.

Order: 100 mg/m². BSA: 0.91 m². → 100 × 0.91 = 91 mg
Order: 250 mg/m². BSA: 1.84 m². → 250 × 1.84 = 460 mg

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💧 Maintenance Fluids

How much fluid a child needs in a day, based on weight (the Holliday-Segar method). Always follow the provider's order.

WeightPer day (100/50/20)Per hour (4-2-1)
First 10 kg100 mL per kg4 mL per kg
Next 10 kg (11 to 20 kg)50 mL per kg2 mL per kg
Each kg over 2020 mL per kg1 mL per kg

Using the daily rule (100/50/20)

Split the weight into pieces: the first 10 kg, the next 10 kg, and whatever is left. Multiply each piece by its amount and add.

8 kg: 8 × 100 = 800 mL/day
14 kg: 10 × 100 + 4 × 50 = 1,000 + 200 = 1,200 mL/day
25 kg: 10 × 100 + 10 × 50 + 5 × 20 = 1,000 + 500 + 100 = 1,600 mL/day

Using the hourly rule (4-2-1)

The same idea per hour, for setting an IV pump. The two rules give slightly different answers because 4-2-1 is rounded; use the one your program teaches.

8 kg: 8 × 4 = 32 mL/hr
14 kg: 10 × 4 + 4 × 2 = 48 mL/hr
25 kg: 10 × 4 + 10 × 2 + 5 × 1 = 65 mL/hr (the daily rule gives 1,60024 ≈ 66.7 mL/hr)

Watch out: Multiplying the whole weight by one number, like 25 × 4. Only the first 10 kg get 4 mL.

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📝 Practice Problems

Round kg to the tenth, BSA to the hundredth, and volumes to the tenth unless noted.

Doses per kilogram

  1. A child weighs 33 lb. Order: 10 mg/kg. How many mg?
  2. A child weighs 18 kg. Order: 20 mg/kg. Label: 160 mg per 5 mL. How many mL?
  3. Order: 30 mg/kg/day in 3 divided doses. Child: 12 kg. How many mg per dose?
Show answers
  1. 33 ÷ 2.2 = 15 kg → 10 × 15 = 150 mg
  2. 20 × 18 = 360 mg → 360160 × 5 = 11.25 ≈ 11.3 mL
  3. 30 × 12 = 360 mg/day ÷ 3 = 120 mg

Is the order safe?

  1. Reference: 20 to 40 mg/kg/day divided q8h. Child: 15 kg. Order: 150 mg q8h. Safe?
  2. Reference: 10 to 15 mg/kg/dose. Infant: 7 kg. Order: 120 mg. Safe?
  3. Order: 500 mg q6h. Maximum: 2 g/day. Within the maximum?
Show answers
  1. Daily 300 to 600 mg → per dose 100 to 200 mg → 150 mg is safe
  2. 70 to 105 mg per dose → 120 mg is too high, not safe
  3. 4 × 500 = 2,000 mg = 2 g → equal to the maximum, so within it

Body surface area

  1. Find the BSA for 150 cm and 45 kg.
  2. Order: 50 mg/m². BSA: 1.2 m². How many mg?
Show answers
  1. √6,7503,600 = √1.875 ≈ 1.37 m²
  2. 50 × 1.2 = 60 mg

Maintenance fluids

  1. Daily maintenance fluid for a 6 kg infant (100/50/20)?
  2. Daily maintenance fluid for an 18 kg child?
  3. Hourly rate for a 30 kg child (4-2-1)?
Show answers
  1. 6 × 100 = 600 mL/day
  2. 1,000 + 8 × 50 = 1,400 mL/day
  3. 40 + 20 + 10 = 70 mL/hr

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➡️ Keep Going

Next, IV rates, drips, and continuous infusions.

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