Body Surface Area (BSA
Body Surface Area (BSA) measures the total surface area of the human body.
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📐 Formula
💡 Practical Example
Patient height 70 inches (177.8 cm), weight 170 lbs (77.11 kg): Mosteller BSA = √[ ÷ 3,600 ] = √3.808 = 1.951 m². DuBois BSA = 1.957 m². Ratio to 1.73 m² standard adult = 112.8%.
📖 About Body Surface Area (BSA
Body Surface Area (BSA) measures the total surface area of the human body. In clinical medicine, BSA is preferred over body weight for calculating chemotherapy dosages, cardiac index, and fluid resuscitation volumes because metabolic rate correlates more closely with surface area.
To use the Body Surface Area (BSA) Medical Calculator, enter your Unit System, Height, Weight. The calculator instantly computes Mosteller BSA (Standard Medical), DuBois & DuBois BSA and more. Results update in real time as you change any input — no submit button needed.
How to Use This Calculator
Enter your Unit System — choose from Imperial (Inches & Pounds), Metric (Centimeters & Kilograms), Height (e.g. 70 in in / cm), and Weight (e.g. 170 in lbs / kg). Results update instantly as you type — adjust any value to compare scenarios.
The Formula
Mosteller Formula: BSA (m²) = √[ (Height in cm × Weight in kg) ÷ 3,600 ]
DuBois Formula: BSA (m²) = 0.007184 × Height(cm)^0.725 × Weight(kg)^0.425
Worked Example
Patient height 70 inches (177.8 cm), weight 170 lbs (77.11 kg):
Mosteller BSA = √[ ÷ 3,600 ] = √3.808 = 1.951 m².
DuBois BSA = 1.957 m². Ratio to 1.73 m² standard adult = 112.8%.
Understanding Your Result
Geometric calculations assume ideal shapes — real-world measurements should include a 5–15% tolerance for irregular shapes, cutting waste, and installation overlap. For construction applications: always verify calculated areas match your physical measurements before ordering materials. Standard practice is to measure the same dimension twice from different reference points and use the average. Express results in the units required by your supplier or building permit — conversions between cubic yards, cubic feet, and cubic meters must be precise for material orders.
💡 Mathematical Rigor & Applied Context
- This calculator applies exact mathematical definitions following conventions established by NIST and international standards bodies.
- Rounding errors accumulate across multi-step calculations. For precision-critical work, maintain extra significant figures through all intermediate steps.
- Many mathematical concepts have multiple valid formulations — if a result seems unexpected, verify which convention or definition applies to your context.
- Dimensional analysis (unit tracking) is the fastest way to catch formula errors. Every term in an equation must have consistent, compatible units.
- Numerical methods used in digital calculators introduce floating-point precision limits (~15 significant digits for IEEE 754 double precision).
- For statistical and probabilistic calculations, always specify whether you are working with population parameters or sample statistics — formulas differ.
- Visualizing a problem geometrically or testing with known boundary values (zero, infinity, negative) reveals hidden errors faster than algebraic checking.
- When in doubt, validate your result against a simplified hand calculation or a published worked example from a textbook or standards document.
Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.