kg and m² — drug calculations

Body surface area and dose per kg and per m²

How to work out a dose by weight and by body surface area, with formulas and worked examples.

Dose per kg

Many doses are given per kilogram of body weight.

Dose = Dose per kg × Weight (kg)
Worked example: 5 mg/kg and the patient weighs 60 kg. Dose = 5 × 60 = 300 mg.

Then work out how much to give using an ordinary dosage calculation.

Body surface area and dose per m²

Some medicines are dosed by body surface area, measured in square metres (m²).

Body surface area is estimated from height and weight. A common formula is Mosteller:

Body surface area (m²) = √( Height (cm) × Weight (kg) ÷ 3600 )
Worked example: Height 170 cm, weight 70 kg.

170 × 70 = 11,900. 11,900 ÷ 3600 = 3.31. √3.31 ≈ 1.82 m²
Dose per m²: The prescribed dose is 50 mg/m² and the body surface area is 1.8 m². Dose = 50 × 1.8 = 90 mg.
Good to know: There are several formulas for body surface area. Use the one your course or your table/nomogram specifies, so that you get the same answer as the mark scheme.

How to do it

01

Identify how the dose is given

Per kg, per m² or as a fixed dose.

02

Work out the total dose

Multiply the dose by the weight or the body surface area.

03

Work out the amount

Use the strength of the product, for example mg/mL, to find the mL or number of tablets.

Frequently asked questions

How do you calculate a dose per kg?+

Multiply the dose per kg by the patient's weight. 5 mg/kg and 60 kg gives 300 mg.

How do you calculate body surface area?+

A common formula is Mosteller: the square root of (height in cm × weight in kg ÷ 3600). Use the formula your course specifies.

What does mg/m² mean?+

It means mg per square metre of body surface area. You get the dose by multiplying by the patient's body surface area.

Is body surface area the same as weight?+

No. Body surface area is calculated from both height and weight and is given in m².

See all the drug calculation formulas →

Practise dose per kg and per m²

Practise calculating doses by weight and body surface area, and use the statistics to see which steps need more practice. Dos is a practice app for drug calculations, with practice tests of ten questions, a built-in calculator next to each question and statistics per topic.