BSA Calculator: Body Surface Area Formulas

Category	BSA (m²)	Typical Weight	Typical Height
Newborn	0.25	3.5 kg	50 cm
Infant (1 yr)	0.45	10 kg	75 cm
Child (5 yr)	0.75	18 kg	110 cm
Child (10 yr)	1.14	32 kg	140 cm
Adolescent (15 yr)	1.60	55 kg	165 cm
Adult Female (avg)	1.70	62 kg	163 cm
Adult Male (avg)	1.90	75 kg	175 cm
Large Adult	2.20	95 kg	185 cm

Clinical BSA Insights

The 2.0 m² Dosing Cap Secret

•Bigger patients don't always get bigger doses.

•Many chemotherapy protocols cap BSA at 2.0 m² regardless of actual size. Why? Drug clearance doesn't scale linearly with body size above ~2.0 m². Using actual BSA (say, 2.4 m²) would overdose large patients. This is why oncologists sometimes use capped BSA—protecting you from the formula's own limitations.

The Historical Data Problem

•The "gold standard" was derived from 9 people.

•Du Bois's 1916 formula—still widely used—was based on just 9 subjects. Modern formulas use thousands. Yet Du Bois persists because clinical protocols were built around it. Consensus mode (averaging all formulas) hedges against any single formula's historical limitations.

The Surface-to-Volume Physics Rule

•Children aren't small adults—geometry proves it.

•A child has disproportionately more surface area relative to their volume than an adult. This means faster heat loss, higher metabolic rate per kg, and different drug distribution. It's basic physics: as objects scale up, volume increases faster than surface area. Pediatric formulas account for this; adult formulas don't.

The Body Composition Blind Spot

•BSA can't tell muscle from fat.

•Two people with identical height and weight have identical BSA—even if one is an athlete and the other is sedentary. BSA doesn't account for body composition differences. For some applications (like metabolic rate), body fat percentage provides better normalization than BSA alone.

Body Surface Area Calculator: Multi-Formula Clinical BSA Engine

How to calculate body surface area. Mosteller, Du Bois, Haycock formulas. Trusted for clinical dosing. No sign-up—all calculations run locally.

The 8 Major BSA Formulas: Complete Reference

Understanding Each BSA Calculation Method

Mosteller (1987):

$\text{BSA} = \sqrt{\frac{H \times W}{3600}}$
H = height (cm), W = weight (kg). Simplest formula; widely used for bedside estimates.
Du Bois & Du Bois (1916):

$\text{BSA} = 0.007184 \times W^{0.425} \times H^{0.725}$
Original BSA formula; clinical standard for drug protocols.
Haycock (1978):

$\text{BSA} = 0.024265 \times W^{0.5378} \times H^{0.3964}$
Preferred for pediatric patients and neonates.
Gehan & George (1970):

$\text{BSA} = 0.0235 \times W^{0.51456} \times H^{0.42246}$
Regression-derived; similar to Du Bois. Referenced in oncology protocols.
Boyd (1935):

$\text{BSA} = 0.03330 \times W^{0.6157 - 0.0188 \log_{10} W} \times H^{0.3}$
Logarithmic weight adjustment; may perform better at extreme body weights.
Fujimoto & Takahira (1968):

$\text{BSA} = 0.008883 \times H^{0.663} \times W^{0.444}$
Calibrated on Japanese population data.
Schlich (2010):

$\text{Male: } \text{BSA} = 0.000579479 \times H^{1.24} \times W^{0.38}$
$\text{Female: } \text{BSA} = 0.000975482 \times H^{1.08} \times W^{0.46}$
Gender-specific; accounts for body composition differences.

Body Surface Area formulas have evolved over a century of medical research. Each was developed for specific populations using different methodologies. This reference covers all major formulas with their mathematical expressions and optimal use cases.

Clinical Applications: Why BSA Matters in Medicine

How BSA Is Used in Clinical Practice

Chemotherapy Dosing:

$\text{Dose} = \text{BSA} \times \text{Protocol Dose per m}^2$
Most cytotoxic drugs dosed in mg/m². Protocols often cap BSA at 2.0 m².
Cardiac Index:

$\text{Cardiac Index} = \frac{\text{Cardiac Output}}{\text{BSA}}$
Normal range: 2.5-4.0 L/min/m². Allows comparison across body sizes.
Glomerular Filtration Rate (GFR):

$\text{GFR}_{\text{norm}} = \text{GFR}_{\text{measured}} \times \frac{1.73}{\text{BSA}}$
GFR normalized to standard BSA 1.73 m² for cross-patient comparison.
Burn Assessment:

The "Rule of Nines" estimates burn area as percentage of BSA. Fluid resuscitation formulas (like Parkland: 4 mL × kg × %BSA burned) use BSA percentage to calculate IV fluid requirements. Accurate BSA estimation is critical—errors lead to inadequate or excessive resuscitation.
Mechanical Ventilation:

Tidal volume targets are often set based on ideal body weight or BSA rather than actual weight. This prevents ventilator-induced lung injury in obese patients who would receive excessive volumes based on actual weight alone.

Body Surface Area provides physiologically meaningful normalization that simple weight cannot. These applications explain why BSA calculation is routine in hospitals worldwide.

BSA Reference Values Across the Human Lifespan

Normal BSA Ranges by Age Group

Newborns (0.20-0.25 m²):

Full-term newborns average approximately 0.25 m² BSA at ~3.5 kg weight and ~50 cm length. Their high surface-to-volume ratio means rapid heat loss (requiring incubators) and higher metabolic rate per kg body weight. Drug dosing requires pediatric-specific formulas and extreme care.
Infants & Toddlers (0.3-0.6 m²):

BSA increases rapidly during the first years, roughly doubling by age 1-2. A 1-year-old (~10 kg, 75 cm) typically has BSA around 0.45 m². The Haycock formula is strongly preferred for this age group where body proportions differ significantly from adults.
Children (0.6-1.2 m²):

School-age children (5-10 years) show BSA ranging from ~0.75 m² (5 years, 18 kg) to ~1.14 m² (10 years, 32 kg). Growth spurts cause BSA to increase faster than weight alone would predict. Pediatric oncology protocols often transition from weight-based to BSA-based dosing in this range.
Adolescents (1.2-1.8 m²):

Teenagers approach or reach adult BSA values, with 15-year-olds averaging ~1.60 m² (55 kg, 165 cm). Timing varies with puberty. Gender differences become apparent—males typically achieve higher BSA. Adult formulas become appropriate by late adolescence (16-18 years).
Adults (1.5-2.2 m²):

Adult BSA averages 1.7 m² for women (62 kg, 163 cm typical) and 1.9 m² for men (75 kg, 175 cm typical). Large adults may reach 2.2+ m². BSA remains relatively stable throughout adulthood unless weight changes significantly. Elderly patients may show slightly lower BSA due to height loss and sarcopenia.

BSA follows a predictable trajectory from birth through adulthood. Understanding these ranges helps interpret calculator results and identify potential measurement errors.

Formula Selection Guide: When to Use Which BSA Formula

Choosing the Right Formula for Your Situation

General Adult Use:

Mosteller or Du Bois are appropriate for most adult patients (BMI 18-35). They're widely validated, clinically accepted, and produce similar results (typically within 2%). Most drug protocols reference these formulas. Use Mosteller for simplicity; Du Bois when protocol specifically requires it.
Pediatric Patients:

Use Haycock formula for all patients under 18, especially infants and neonates. Adult-derived formulas systematically underestimate pediatric BSA due to different body proportions (higher surface-to-volume ratio). Many pediatric protocols specifically mandate Haycock.
Asian Populations:

Consider Fujimoto formula for patients of East Asian descent. While not universally validated across all Asian populations, it was specifically calibrated using Japanese data and may provide more accurate estimates than Western-derived formulas.
Extreme Body Weights:

For severe obesity (BMI > 40) or severe underweight (BMI < 16), all formulas show increased variance and potential systematic error. Boyd's logarithmic adjustment may perform better at extremes. Consider using consensus averaging AND clinical judgment for these patients.
Maximum Clinical Confidence:

Use Consensus Mode (mean of all formulas) when accuracy is critical and no specific formula is mandated. This approach minimizes systematic bias, accounts for population variation, and provides the most statistically defensible estimate. The variance percentage output indicates formula agreement—high variance (>5%) suggests the patient may be atypical.

Different formulas perform better for different patient populations. These evidence-based guidelines help select the most appropriate formula or justify using consensus averaging.

FAQ

? Which BSA formula is most accurate?

No single formula is universally most accurate. Mosteller is preferred for simplicity. Du Bois remains the clinical standard for adults. Haycock is optimized for pediatric patients. For maximum reliability, use "Consensus Mode" which averages all formulas—this reduces individual formula bias and produces the most clinically defensible result.

? How is BSA used in medicine?

BSA is critical for chemotherapy dosing (doses calculated per m²), determining Cardiac Index (cardiac output ÷ BSA), calculating Glomerular Filtration Rate (GFR), setting ventilator parameters, and estimating burn surface area. BSA normalizes measurements for body size, making cross-patient comparisons meaningful.

? What is the average BSA for an adult?

Average adult BSA is approximately 1.7 m² for women and 1.9 m² for men. The range for healthy adults typically spans 1.5-2.2 m². Newborns start at approximately 0.25 m², reaching adult values by late adolescence.

? Why is BSA better than BMI for clinical use?

BSA measures total body surface area, which directly correlates with metabolic rate, drug distribution volume, and cardiac output requirements. BMI only measures weight relative to height and cannot distinguish muscle from fat. For medication dosing and cardiac assessment, BSA provides physiologically meaningful normalization that BMI cannot.

? How do I calculate BSA manually?

The simplest formula is Mosteller: BSA = √((Height × Weight) / 3600), where height is in cm and weight in kg. For a 170 cm, 70 kg person: BSA = √((170 × 70) / 3600) = √(3.306) = 1.82 m². Any calculator with square root function works.

? Is BSA the same as body fat percentage?

No. BSA measures your skin's total surface area in square meters (m²). Body fat percentage measures fat mass relative to total weight. BSA is used for drug dosing and cardiac assessment; body fat percentage is used for fitness and metabolic health evaluation. They measure completely different things and serve different purposes.

? Can I measure BSA with a bathroom scale?

No. Bathroom scales (even "smart" ones) cannot measure BSA directly. BSA requires both height and weight inputs calculated through validated formulas. Some smart scales estimate BSA using your profile data, but accuracy varies. For clinical purposes, use validated calculator tools with precise height and weight measurements.

? Why do chemotherapy protocols cap BSA at 2.0 m²?

Many protocols cap BSA at 2.0 m² to prevent excessive drug doses in very large patients. Research shows that drug clearance doesn't scale linearly above ~2.0 m², so using actual BSA would overdose larger patients. This cap is protocol-specific—always follow your specific treatment guidelines rather than raw BSA calculations.

Body Surface Area Calculator: 8 Medical Formulas

Clinical BSA Analysis

Why BSA Matters More Than BMI

Drug Dosing

Cardiac Index

Metabolic Rate

Reference: Average BSA by Age and Size

BSA Calculator: Understanding Body Surface Area