Body Surface Area Calculator

Modern Body Surface Area (BSA) Calculator

Estimate your Body Surface Area (BSA) using several common formulas.

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BSA Comparison

Formula ft² in²
Du Bois -- -- --
Mosteller -- -- --
Haycock -- -- --
Boyd -- -- --
Fujimoto -- -- --
Takahira -- -- --
Schlich -- -- --

Understanding Body Surface Area (BSA): Why Surface Area Matters

Most people gauge size in simple terms—height, weight, or perhaps waist circumference. Yet many tissues that drive calorie needs, drug metabolism, and heat loss operate over surface area, not kilos. That is precisely what body surface area (BSA) estimates: the total outer “skin wrap” that covers you from head to toe.

Because direct measurement would require a water tank or a full-body 3-D scanner, physicians rely on height-and-weight formulas published over the last century. Although each equation follows a slightly different mathematical path, nearly all converge on remarkably similar answers for the average adult.


Defining BSA in Plain Language

  • Body Surface Area is the two-dimensional area of skin that encloses the body, expressed in square metres (m²) or square feet (ft²).

  • An average adult male sits near 1.9 m², while an average adult female hovers around 1.6 m².

  • Newborns start near 0.25 m²; surface area roughly triples by age two and continues to climb into adolescence.

Think of BSA as the “canvas” through which heat exchanges with the environment, topical medicines absorb, and metabolic waste leaves via sweat.


Why Clinicians Favour BSA Over Body Weight

Clinical use-caseWhy surface area beats body weight
Chemotherapy dosingDrug clearance more closely follows lean, metabolically active tissue than raw mass. Surface area tracks that tissue better than pounds or kilograms.
Cardiac index (CI)CI = cardiac output ÷ BSA. Normalising to BSA allows fair comparison between a 110-lb person and a 250-lb person.
Fluid resuscitation in burn careReplacement volumes are calculated per m² of burned tissue.
Pediatric medicationChildren are not mini-adults; weight alone underestimates drug exposure in rapidly growing organs.

A Brief History of BSA Formulas

YearResearchersCore sampleKey insight
1916Du Bois & Du Bois9 subjects in a supine dunk tankFirst to couple height^0.725 and weight^0.425—still widely used despite tiny sample.
1978Haycock et al.81 infants → adultsTracked growth curves; validated from 0.3 m² to 1.9 m².
1984MostellerMathematic simplificationIntroduced the √(height × weight / 3600) shortcut.
2010Schlich et al.3-D laser scans, 2,500 GermansCreated gender-specific exponents for modern physiques.

Over the decades, other groups—Boyd, Gehan & George, Fujimoto, Takahira—fine-tuned coefficients for particular ethnicities or pediatric stages. While the constants differ, adult results rarely vary more than 2–3 %.


The “Big Six”: How Each Equation Works

Below, W is weight in kilograms, H is height in centimetres.

EquationMath in symbolsWhat makes it special
Du Bois0.007184 × W^0.425 × H^0.725Proven in obese and non-obese adults.
Mosteller√(W × H / 3600)Easiest to do on paper—square-root of a simple fraction.
Haycock0.024265 × W^0.5378 × H^0.3964Tracks infants through elders; good pediatric accuracy.
Gehan & George0.0235 × W^0.51456 × H^0.42246Derived from U.S. cancer trial participants.
Boyd0.03330 × W^(0.6157 – 0.0188 × log₁₀W) × H^0.3Non-linear weight term moderates extremes.
Schlich (men)0.000579479 × W^0.38 × H^1.24Introduces a strong height power for tall frames.

Rule of thumb: Pick one method for consistency within a clinic. Mixed equations in the same patient chart risk dosing errors.


Worked Example: 5 ft 9 in, 155 lb Adult

  1. Convert units

    • Height: 5 ft 9 in = 69 in = 175.3 cm

    • Weight: 155 lb = 70.3 kg

  2. Mosteller shortcut

    • BSA = √(70.3 × 175.3 / 3600)

    • BSA = √(12.89) ≈ 3.59 cm² → 1.85 m²

  3. Du Bois classic

    • 0.007184 × 70.3^0.425 × 175.3^0.725 ≈ 1.85 m²

A handful of other formulas drift 0.02–0.03 m² above or below—an error margin too small to alter most drug protocols.


Practical Uses of BSA

1 Chemotherapy

Many anti-cancer agents exhibit a narrow therapeutic index: too little yields no tumour kill, too much harms bone marrow, kidneys, or nerves. Anchoring the initial dose to BSA normalises for differences in metabolic organ size. On day one of a new regimen:

Dose (mg) = Drug constant (mg/m²) × BSA

Subsequent infusions adjust for toxicity, weight change, or renal labs.

2 Critical-Care Hemodynamics

Cardiac index (CI) divides cardiac output by BSA, revealing whether a patient’s circulation meets tissue demand. Normal CI ranges 2.5–4.0 L/min/m² regardless of stature.

3 Burn Medicine

Fluid resuscitation often starts with the Parkland formula, which multiplies burn %TBSA (total body surface area burned) by weight. Accurate BSA estimates keep totals from overshooting—critical because under- or over-hydration each raise mortality.

4 Renal Dosing and Glomerular Filtration Rate (GFR)

Lab machines report eGFR normalised to 1.73 m². If a small or very large patient deviates from that “standard” size, nephrologists de-index by multiplying back through individual BSA.


Strengths and Limitations

 ProsCons
BSACorrelates with resting energy, organ perfusion, drug clearanceLoses precision in morbid obesity or cachexia; formulas assume proportional limbs and trunk
Body weightEasy to obtain; scales everywhereIgnores metabolic difference between fat and lean tissue
BMIFlags cardiometabolic risk; simpleMixes height and weight but still blind to muscle vs fat
Bio-impedance/DEXADirect lean-mass readoutExpensive, not universal in clinics

When dosing medications with life-threatening toxicity, many oncologists now cross-check BSA with creatinine clearance, liver function, and sometimes lean body weight to minimise surprises.


Special Populations

1 Pediatrics

Toddlers double surface area in the first two years, then climb more slowly. Pediatric hospitals maintain age-specific nomograms because adult formulas over-predict BSA under 10 kg body weight.

2 Extreme Obesity

At BMI >40 kg/m², fat adds bulk without equal metabolic machinery. Studies suggest Mosteller over-estimates chemo clearance, risking under-dosing. Some centres cap BSA at 2.4 m² or index doses to adjusted body weight.

3 Amputees

Standard equations overshoot because missing limbs reduce skin envelope. Clinicians subtract 9 % for an arm, 18 % for a leg, following burn-chart percentages.


Future Directions: 3-D Scanning and Personalised Medicine

Hand-held infrared scanners and smartphone photogrammetry now capture full-body geometry in seconds. Early validation studies report ±1 % agreement with water-immersion gold standards—far tighter than formula variability. As hardware cheapens, direct BSA may replace proxy math, refining everything from sports-nutrition planning to anti-cancer dosing.


Athlete and Fitness Applications

  • Heat acclimatisation: Larger BSA relative to mass favours sweat evaporation, giving lanky runners an edge in hot marathons.

  • Wetsuit sizing: Triathletes with low BSA to weight ratios may chill faster in open water and choose thicker neoprene.

  • Nutritional periodisation: Coaches sometimes index recovery calories to BSA when working with clients who have wildly different builds but similar body weights.


Tips for Patients

  1. Use the same formula each time. Consistency matters more than which equation you choose.

  2. Update weight and height twice a year (or sooner if >5 % weight change). Dosages anchored to outdated BSA invite error.

  3. Flag major body composition changes—muscle gain, limb loss, significant oedema—to your healthcare team.

  4. Ask about dose caps if you live at size extremes. Many centres impose upper or lower BSA limits for safety.

  5. Keep context in mind. BSA is one puzzle piece; kidney, liver, and bone-marrow labs complete the picture.


Key Takeaways

  1. Body surface area estimates the literal skin “footprint” of a person, averaging 1.6–1.9 m² in adults.

  2. Clinicians favour BSA over body weight for drug dosing, cardiac indexing, burn resuscitation, and paediatric care.

  3. Multiple formulas exist—Du Bois, Mosteller, Haycock, Boyd, and more—but adult results seldom diverge >3 %.

  4. At body-size extremes or after amputations, formulas lose precision; teams may turn to direct scanning or dose caps.

  5. Emerging 3-D imaging promises real-time, population-agnostic BSA measurement, nudging personalised medicine forward.


Disclaimer

This article is intended for informational purposes only and does not constitute medical advice. Always consult a qualified healthcare professional before using BSA calculations to guide medication dosing, fluid therapy, or any other clinical decision.

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