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MasterMath

Body Surface Area Calculator

At 70 kg and 175 cm your body surface area is about 1.84 m² by Mosteller. It is the figure oncology and paediatrics use for dosing, because it tracks metabolic rate better than weight does.

Mosteller formula

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Mosteller formula—
Du Bois formula—
Haycock formula—
Average of the three—

How this was worked out

    Indicative result. Calculating drug doses from body surface area is a matter for healthcare professionals only. This tool is for information.

    The formula

    Mosteller: √(height in cm × weight in kg ÷ 3,600)

    Where it comes from

    Body surface area scales with metabolic rate more closely than body weight does, which is why chemotherapy doses, burn assessments and paediatric medicine are calculated from it. Mosteller's formula, published in 1987, is the one most used because it is simple enough to do on a calculator and agrees closely with the older, more elaborate ones.

    How to work it out by hand

    1. Multiply your height in centimetres by your weight in kilograms
    2. Divide by 3,600
    3. Take the square root
    4. The result is in square metres

    What is worth knowing

    The three formulas agree within about 5 % across normal builds, which is why the choice between them rarely matters clinically. Where they diverge is at the extremes: in obesity and in very small children the older Du Bois formula, fitted in 1916 to nine subjects, drifts noticeably. The average adult is around 1.7 m², and doses in oncology are typically expressed as milligrams per square metre for exactly this reason. Anything involving an actual dose belongs with a clinician, not a web page.

    Frequently asked questions

    Why is body surface area used for dosing?

    Because it correlates with metabolic rate and organ function better than weight alone, particularly for drugs with a narrow therapeutic window.

    Which formula is best?

    Mosteller is the most widely used, for simplicity. All three agree within about 5 % for typical builds.

    What is a normal value?

    Roughly 1.6 to 2.0 m² for adults, and about 1.7 m² for an average adult.

    Can I calculate my own medication dose from this?

    No. Dosing is a clinical decision that accounts for far more than surface area. This figure is for understanding, not prescribing.