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Body Surface Area (BSA) Calculator

By Healthboard Editorial TeamLast reviewed

Your details

lb

Actual body weight. Dosing protocols specify which weight to use — follow the protocol.

ft
in

Result

1.69m²
Mosteller formula

A person weighing 140 lb (63.5 kg) and 5'4" (163 cm) tall has a body surface area of 1.69 m² by the Mosteller formula. The DuBois, Haycock and Gehan–George formulas give 1.68, 1.70 and 1.71 m² for the same height and weight.

DuBois & DuBois
1.68 m²
1916 — the oldest
Haycock
1.70 m²
1978 — validated in infants and children
Gehan & George
1.71 m²
1970
Spread across formulas
0.03 m²
1.7% of the Mosteller value

Body surface area at 140 lb, 5'4"

FormulaYearEquationBSA
Mosteller1987√(H × W / 3600)1.69 m²
DuBois & DuBois19160.007184 × W^0.425 × H^0.7251.68 m²
Haycock19780.024265 × W^0.5378 × H^0.39641.70 m²
Gehan & George19700.0235 × W^0.51456 × H^0.422461.71 m²

W is weight in kilograms and H is height in centimetres. For reference, kidney function (eGFR) is indexed to a standard adult body surface area of 1.73 m².

Drug doses calculated from body surface area must be set and checked by the treating team against the specific protocol, including which formula and which body weight it specifies.

Body surface area is an estimate of the total area of the skin, in square metres, calculated from height and weight. It is used in medicine as a measure of body size that tracks metabolic mass better than weight alone — most visibly in chemotherapy dosing, the cardiac index, and the standard 1.73 m² to which kidney function is indexed. This calculator reports the Mosteller formula and compares three other published equations.

What it measures
Estimated total skin surface area
Reported in
Square metres (m²)
Primary formula
Mosteller (1987)
Compared with
DuBois & DuBois, Haycock, Gehan & George
Inputs
Height and weight

Formula

Mosteller formula (1987)

BSA (m²) = √(height cm × weight kg / 3600)

height
— Height in centimetres (inches × 2.54)
weight
— Weight in kilograms (pounds × 0.4536)
3600
— Constant that returns the result in m²

Mosteller published his formula in the New England Journal of Medicine in 1987 as a simplified calculation needing only a square root. For typical adults it gives results very close to the older DuBois equation, and its simplicity makes it easy to check by hand, so it is the headline result here. The other three are shown for comparison because protocols sometimes specify one of them.

Body Surface Area Calculator examples

Worked Body Surface Area Calculator examples with their results
InputResultCategory
170 lb, 5'10"1.95 m²Mosteller formula
140 lb, 5'4"1.69 m²Mosteller formula
220 lb, 6'0"2.25 m²Mosteller formula
300 lb, 5'8"2.56 m²Mosteller formula
60 kg, 165 cm1.66 m²Mosteller formula
Child, 20 kg, 110 cm0.78 m²Mosteller formula

What is body surface area used for?

Many physiological quantities — metabolic rate, cardiac output, kidney filtration — scale more closely with body surface area than with weight. Indexing to BSA lets clinicians compare people of different sizes on one scale, and size a dose to the patient.

  • Chemotherapy and some other drug doses are prescribed in mg per m².
  • Cardiac index is cardiac output divided by BSA, so a small and a large heart can be compared fairly.
  • Estimated GFR is reported per 1.73 m², a standard adult body surface area, rather than for the individual's own size.
  • Some paediatric drug doses and fluid calculations are scaled to BSA.

Burn assessment is a separate question. The percentage of the body surface burned is estimated with charts such as the rule of nines or the Lund–Browder chart, not with a height-and-weight formula.

How is body surface area calculated?

Skin area cannot be measured directly in practice, so every BSA formula is an equation fitted to a set of people whose surface area was measured or modelled. All of them take height and weight; they differ in the exponents and in the population used to derive them.

Published body surface area formulas (W in kg, H in cm)
FormulaYearEquation
DuBois & DuBois19160.007184 × W^0.425 × H^0.725
Gehan & George19700.0235 × W^0.51456 × H^0.42246
Haycock19780.024265 × W^0.5378 × H^0.3964
Mosteller1987√(H × W / 3600)

DuBois & DuBois is the oldest and remains widely cited. Haycock and colleagues calculated surface area geometrically from 34 body measurements in 81 people ranging from premature infants to adults, and found that the DuBois formula increasingly underestimated surface area below 0.7 m² — by almost 8% in newborns. Their own equation fitted the whole range closely, which is why it is often preferred for children.

Which BSA formula is most accurate?

For an average-sized adult the choice barely matters: at 170 lb and 5'10" the four formulas agree to within 0.01 m². The differences open up at the extremes of body size, particularly with high body weight and in small children.

Four formulas, three body sizes
Height and weightMostellerDuBoisHaycockGehan & George
5'10", 170 lb1.95 m²1.95 m²1.96 m²1.96 m²
5'8", 300 lb2.56 m²2.43 m²2.63 m²2.60 m²
110 cm, 20 kg (child)0.78 m²0.78 m²0.78 m²0.80 m²

There is no single correct formula, because none of them measures skin area directly. In practice the right one is whichever the protocol or institution specifies, applied consistently so that doses are comparable over a course of treatment.

How is BSA used to dose chemotherapy?

Many cytotoxic drugs are prescribed in mg/m², so the dose is the protocol dose multiplied by the patient's BSA. Height and weight are usually measured at the start of treatment and rechecked when weight changes meaningfully.

A long-standing question is whether to cap doses in people with obesity. The American Society of Clinical Oncology's 2021 guideline update continues to recommend full, weight-based cytotoxic chemotherapy doses for obese adults with cancer, and recommends that full approved doses of immunotherapy and targeted therapy also be offered. If toxicity occurs, the panel advises handling dose changes the same way as for patients without obesity.

Why is kidney function indexed to 1.73 m²?

Estimated GFR is reported in mL/min per 1.73 m² so that results from people of different sizes can be compared against one set of thresholds. The figure of 1.73 m² is a conventional standard adult body surface area.

Because of that indexing, an eGFR describes kidney function for a standard-sized adult, not for the person tested. For a very large or very small patient, multiplying by BSA ÷ 1.73 gives the un-indexed filtration rate, which is sometimes needed when dosing drugs cleared by the kidney.

What can make a BSA estimate misleading?

  • Recorded rather than measured height and weight — self-reported figures are a common source of error.
  • Large fluid shifts such as oedema or ascites, which add weight without adding metabolically active tissue.
  • Amputation, which changes the relationship between height, weight and surface area.
  • Extremes of body size, where the formulas disagree most.

Where accuracy matters, measure height and weight on the day rather than relying on the record, and use the formula the protocol names.

Frequently asked questions

What is a normal body surface area?

There is no normal range in the diagnostic sense — BSA simply reflects size. For reference, the conventional standard adult size used to index kidney function is 1.73 m², and a person 5'10" tall weighing 170 lb has a BSA of about 1.95 m² by the Mosteller formula.

What is the Mosteller formula?

The Mosteller formula estimates body surface area as the square root of height in centimetres times weight in kilograms, divided by 3600. Published in 1987 as a simplified calculation, it gives results close to the older DuBois formula for most adults and is easy to check by hand.

What is the difference between the Mosteller and DuBois formulas?

DuBois dates from 1916 and uses separate exponents for weight and height; Mosteller from 1987 uses a simple square root. For average-sized adults they agree within about 0.01 m². With high body weight, DuBois gives noticeably lower values than Mosteller, Haycock or Gehan–George.

Can I calculate BSA in pounds and inches?

Yes. Enter height in feet and inches and weight in pounds, and the calculator converts to centimetres and kilograms before applying the formula. The formulas themselves are defined in metric units, so the conversion is part of every BSA calculation.

Should chemotherapy doses be capped for obese patients?

The ASCO 2021 guideline update recommends full, weight-based cytotoxic chemotherapy doses for obese adults with cancer rather than routine capping, based on evidence that they tolerate full dosing as well as other patients. Individual decisions remain with the treating oncology team.

Is body surface area used for burns?

Burns are described as a percentage of total body surface area, but that percentage is estimated with the rule of nines or a Lund–Browder chart, which map body regions to fixed shares of the surface. A height-and-weight formula like Mosteller is not used for that.

Sources

  1. Simplified calculation of body-surface area — Mosteller RD. New England Journal of Medicine (PubMed), 1987
  2. A formula to estimate the approximate surface area if height and weight be known. 1916 — Du Bois D, Du Bois EF. Nutrition, reprint of the 1916 paper (PubMed), 1916
  3. Geometric method for measuring body surface area: a height-weight formula validated in infants, children, and adults — Haycock GB, Schwartz GJ, Wisotsky DH. Journal of Pediatrics (PubMed), 1978
  4. Estimation of human body surface area from height and weight — Gehan EA, George SL. Cancer Chemotherapy Reports (PubMed), 1970
  5. Appropriate Systemic Therapy Dosing for Obese Adult Patients With Cancer: ASCO Guideline Update — Griggs JJ et al. Journal of Clinical Oncology (PubMed), 2021