Body Surface Area Calculator

Calculate body surface area using the Du Bois, Mosteller, Haycock and Gehan–George formulas used in clinical dosing.

How to use this calculator

  1. 1Enter height and weight in either unit system.
  2. 2Use the Mosteller figure unless a specific protocol names a different formula — many do.

How the calculation works

Mosteller: BSA = √( height(cm) × weight(kg) / 3600 ) Du Bois: BSA = 0.007184 × h^0.725 × w^0.425
h
Height in centimetres
w
Weight in kilograms
BSA
Body surface area in square metres

Mosteller reduces to a single square root, which is why it displaced the others in bedside practice.

All four are empirical fits to a small number of direct measurements. None is derived from first principles.

Worked example

175 cm and 75 kg

  1. 1.Mosteller: √(175 × 75 ÷ 3600) = √3.6458 = 1.909 m².
  2. 2.Du Bois: 0.007184 × 175^0.725 × 75^0.425 = 1.905 m².
  3. 3.The two agree to within 0.005 m², which is why Mosteller is trusted despite being far simpler.

Result: 1.909 m² (Mosteller)

Why clinicians scale by surface area instead of weight

Many physiological processes — blood volume, cardiac output, kidney filtration rate, metabolic rate — correlate more closely with the surface area of the body than with its mass. Two people of very different weight but similar height and build can have surprisingly similar surface areas, and drugs that are cleared or distributed in proportion to that area are dosed more safely by BSA than by weight alone, particularly for medications with a narrow margin between an effective and a harmful dose.

Where BSA-based calculations are actually used

The best-known application is chemotherapy dosing, where BSA has been the conventional basis for decades because many cytotoxic drugs have a narrow therapeutic window and their toxicity tracks metabolic rate more closely than raw body weight does. Beyond oncology, BSA is used to normalise cardiac output into cardiac index for comparing heart function across patients of different sizes, and clinicians estimating the extent of a burn injury describe it as a percentage of total body surface area.

Four formulas from four different eras

Du Bois, published in 1916, was the original — derived from direct surface measurements of just a handful of people, one of them a child, using a method involving paper moulded to the body. Despite the tiny sample, later and much larger studies never improved on it enough to displace it entirely. Mosteller’s 1987 formula reduces the calculation to a single square root and agrees closely with Du Bois while being simple enough to compute at the bedside without a calculator, which is why it became the modern clinical default. Haycock (1978) and Gehan–George (1970) were both developed with a particular focus on accuracy in infants and children, where the adult-derived formulas are known to be less reliable.

A method that is still debated

BSA-based dosing is not universally accepted as the best approach. For obese patients in particular, BSA calculated from actual body weight can substantially overestimate the appropriate drug dose relative to what body composition would suggest, and oncology practice increasingly caps or adjusts BSA-based doses for these patients rather than applying the formula unmodified. Which formula a given protocol specifies, and whether it is adjusted for obesity, varies by institution and by drug.

What this assumes, and where it stops

Assumptions

  • Standard adult body proportions.

Limitations

  • BSA-based dosing is itself contested for some drugs, particularly in obese patients, where it can substantially overestimate the appropriate dose.
  • Different clinical protocols specify different formulas. Use the one your protocol names, not the one you prefer.
  • Not validated for neonates, where dedicated formulas exist.

Common questions

Which BSA formula should I use?

Mosteller is the most common clinical default, and it agrees closely with Du Bois while being simple enough to compute at the bedside. If a treatment protocol specifies a particular formula, use that one — the difference between them can exceed 3%, which matters for narrow-therapeutic-index drugs.

Why is BSA used for drug dosing instead of weight?

Because it correlates better with metabolic rate, cardiac output and renal function than weight alone. The practice is longstanding, though it is increasingly questioned for specific agents where flat or weight-based dosing performs at least as well.

Sources

Formula and content last reviewed on .

Results are estimates for information only, not professional advice.

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