Body Surface Area (BSA) Calculator

Estimate body surface area in m² using Mosteller and Du Bois formulas — for clinical reference, anesthesia dosing, and physiologic indexing.

Inputs

1300
30250

Result

Body surface area (Mosteller)
1.84 m²
  • Mosteller (clinical default)1.845 m²
  • Du Bois & Du Bois (1916)1.848 m²
  • Mean of both formulas1.846 m²
  • Cross-check spreadMosteller and Du Bois agree to ~1% across the normal adult range; >3% spread suggests an out-of-domain input (very small or very obese).0.19 %
Average adult range~1.6 m² is a typical adult-female reference; ~1.9 m² is a typical adult-male reference (Sacco et al. 2010).
Your BSA (Mosteller)
Used by most chemotherapy and anesthesia dosing nomograms.
1.84 m²
Your BSA (Du Bois 1916)
Older formula, derived from 9 cadaver measurements; still cited for cardiac index.
1.85 m²
Average adult-female (Sacco 2010)
Population mean for adult women (Mosteller, n=12,565).
~1.60 m²
Average adult-male (Sacco 2010)
Population mean for adult men (Mosteller, n=12,565).
~1.90 m²
Not medical advice — BSA is used for physiologic indexing (cardiac index, GFR), but chemotherapy and anesthesia dosing follow protocol-specific BSA caps (commonly 2.0–2.2 m²) and are out of scope for this calculator. Pediatric dosing has its own conventions. Always verify against your institution's protocol.

How to use this calculator

  • Enter weight and height in metric (kg, cm) or imperial (lb, in).
  • Read Mosteller BSA as the clinical-default value, with Du Bois as a cross-check.
  • Use the mean if your protocol does not specify which formula.
  • For chemo or anesthesia dosing, follow your institution's protocol — do not use this calculator unattended.

About this tool

Body surface area (BSA) is a physiologic measurement used for indexing cardiac output, glomerular filtration rate, and certain medication doses (notably chemotherapy and some anesthetics). The most-used clinical formula is Mosteller (1987): BSA = √(weight × height ÷ 3600), with weight in kg and height in cm. The older Du Bois & Du Bois (1916) formula, derived from cadaver measurements, agrees with Mosteller to within about 1% across the normal adult range. This calculator returns both, plus a mean and a cross-check spread that can flag out-of-range inputs. Average adult BSA falls roughly between 1.6 m² (women) and 1.9 m² (men); chemotherapy protocols commonly cap dosing BSA at 2.0–2.2 m² to limit toxicity.

How it works — the formula

BSA(m²) — Mosteller: √(weight(kg) × height(cm) / 3600); Du Bois: 0.007184 × weight(kg)^0.425 × height(cm)^0.725

Mosteller (1987) is a simplification published in the New England Journal of Medicine; it agrees with Du Bois to within ~1% in the normal-adult range and is the most-used clinical formula. Du Bois & Du Bois (1916) was derived from nine cadaver measurements and remains the historical reference, especially for cardiac-index normalization. Both inputs are in metric (kg, cm); the calculator converts imperial inputs internally using the exact factors 1 lb = 0.45359237 kg and 1 in = 2.54 cm.

Worked examples

Example 1
Average adult male
Inputs:
weight = 70 kg, height = 175 cm
Output:
Mosteller = √(70·175/3600) = √3.4028 ≈ 1.84 m²; Du Bois ≈ 1.85 m²
Example 2
Round-number check
Inputs:
weight = 80 kg, height = 180 cm
Output:
Mosteller = √(80·180/3600) = √4.0000 = 2.00 m² exactly; Du Bois ≈ 1.99 m²
Example 3
Smaller-framed adult
Inputs:
weight = 60 kg, height = 160 cm
Output:
Mosteller = √(60·160/3600) = √2.6667 ≈ 1.63 m²; Du Bois ≈ 1.62 m²

What body surface area (BSA) means

Body Surface Area (BSA) is the total surface area of the human body, expressed in square metres. It is a fundamental parameter in clinical medicine, especially for dosing chemotherapy drugs, calculating cardiac index, and determining fluid resuscitation in burn patients. Unlike weight or BMI, BSA scales approximately with metabolic rate, which is why it is preferred over weight-based dosing for drugs with narrow therapeutic windows.

BSA cannot be measured directly except by elaborate coating-and-measurement procedures used in early 20th-century research. In clinical practice, BSA is estimated from height and weight using validated formulas — the most common being Du Bois (1916) and Mosteller (1987).

The main BSA formulas

Multiple validated formulas exist for BSA estimation, all producing similar results at typical adult body sizes. The most-used formulas:

Du Bois & Du Bois (1916) — the classic formula
BSA (m²) = 0.007184 × weight(kg)^0.425 × height(cm)^0.725

For a 70 kg, 175 cm adult: BSA = 0.007184 × 70^0.425 × 175^0.725 ≈ 1.85 m². The Du Bois formula was derived from measurements on 9 subjects and has been the historical clinical standard.

Mosteller (1987) — simpler and widely used clinically
BSA (m²) = √(height(cm) × weight(kg) / 3600)

For a 70 kg, 175 cm adult: BSA = √(175 × 70 / 3600) = √3.403 ≈ 1.85 m². Mosteller matches Du Bois within ±5% across typical adults and is easier to compute mentally.

Boyd (1935) — validated on very small (infant) or very large (obese) subjects
BSA (m²) = 0.03330 × weight(g)^(0.7285 − 0.0188 × log₁₀(weight(g))) × height(cm)^0.3

More accurate at extremes of body size where Du Bois can under- or over-estimate. Rarely used in general clinical practice because of its complexity.

BSA in chemotherapy dosing

Most cytotoxic chemotherapy agents are dosed per m² of body surface area (e.g. "50 mg/m²"), not per kg of body weight. The historical rationale is that BSA correlates better with organ function (liver metabolism, renal clearance) than raw body weight — an obese patient does not need proportionally more chemotherapy than a lean patient of the same height because the extra body mass is largely adipose tissue that does not metabolise the drug.

BSA-based dosing has come under increasing scrutiny for its imprecision — inter-patient variability in drug metabolism is far larger than BSA would predict, and pharmacogenomic testing offers better dose personalisation for some drugs. Nonetheless, BSA remains the standard for most cytotoxic dosing regimens because of decades of accumulated clinical evidence at BSA-based doses.

For obese patients (BMI ≥ 30), several institutions cap the BSA calculation at 2.0-2.2 m² to prevent dosing toxic doses driven by the weight component. Institutional protocols vary, and the American Society of Clinical Oncology (ASCO) has published guidelines on chemotherapy dosing in obese patients that address this specifically.

BSA in cardiac and burn medicine

Cardiac Index (CI) = Cardiac Output / BSA. Normal cardiac index is 2.5-4.0 L/min/m². Indexing to BSA lets clinicians compare cardiac function across patients of different body sizes without confounding by patient bulk.

In burn medicine, BSA is central to fluid resuscitation calculations. The Parkland formula for burn fluid resuscitation is 4 mL × %burn × weight(kg), where "%burn" is percentage of body surface area burned. Estimating %burn requires knowing regional BSA percentages — the "rule of nines" (head 9%, each arm 9%, each leg 18%, chest 9%, abdomen 9%, back 18%, perineum 1%) is the standard first-approximation tool.

For pediatric burn resuscitation the rule of nines is adjusted because children have proportionally larger heads and smaller legs than adults; the Lund-Browder chart accounts for this age-adjustment.

Formula comparison and accuracy

For adult subjects with typical body proportions, all standard BSA formulas produce results within 3-5% of each other. Choosing between them rarely affects clinical decisions. The Mosteller formula is preferred in most modern clinical settings because of its computational simplicity — it can be done on a calculator or in the head with a mobile phone in seconds.

For extreme body sizes (infants under 5 kg, adults over 150 kg), formula divergence widens significantly. Du Bois underestimates BSA in the very obese; Boyd was specifically developed for these extremes and is more accurate there. When BSA precision matters clinically at the extremes, the ASCO guidelines and individual institutional protocols specify which formula to use.

Limitations

  • Mosteller and Du Bois were derived from adult populations and substantially underestimate BSA in infants and small children — use Haycock or Mosteller-pediatric for under-2-year-olds.
  • Estimates are based on height and weight only; they ignore body composition, hydration state, and amputation. Very obese patients may have overestimated true skin area.
  • Chemotherapy and anesthesia dosing follow protocol-specific BSA caps (commonly 2.0–2.2 m²) which are NOT applied here. This calculator returns the physiologic BSA, not a dosing-BSA.
  • Cardiac index, GFR, and other indexed values use Du Bois historically; switching to Mosteller can change the indexed value by ~1% — verify which formula your reference range assumes.

For educational reference only. Do not use this calculator as the sole basis for medication dosing — always follow your institution's clinical protocol.

Frequently asked

Mosteller (1987) is the clinical default and is the formula taught in most pharmacy and oncology references. Du Bois (1916) is still cited for cardiac index. The two agree to within about 1% in the normal adult range, so for non-clinical estimation either is fine.

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