How it works
The Mosteller formula calculates your body surface area by combining your height and weight into a single measurement. This approach is preferred in clinical settings because it reflects how physiological processes—like metabolism and drug clearance—actually scale with body size. Unlike weight alone, BSA accounts for the fact that a tall person and a heavy person may need different medication doses even at the same weight.
You simply enter your height and weight (in either metric or US units), and the calculator converts them if needed, then applies the formula to give you your BSA in square meters.
The formula
BSA (m²) = √(Height (cm) × Weight (kg) / 3600)
Worked example
Let's calculate the BSA for a person who is 175 cm tall and weighs 70 kg.
Step 1: Multiply height by weight
175 × 70 = 12,250
Step 2: Divide by 3,600
12,250 ÷ 3,600 = 3.403
Step 3: Take the square root
√3.403 = 1.845 m²
This person's body surface area is 1.85 m², which falls in the typical adult range.
If using US units: Suppose someone is 5'9" (69 inches) and weighs 154 lb. First, convert:
- 69 inches × 2.54 = 175.3 cm
- 154 lb ÷ 2.205 = 69.8 kg
Then apply the formula as above to get approximately 1.84 m².
Common mistakes
Unit confusion: The formula always requires centimeters and kilograms. If you enter pounds or inches, make sure the calculator converts them first—or do it yourself (1 inch = 2.54 cm; 1 lb = 0.4536 kg). Forgetting this step will give a nonsensical result.
Rounding too early: Keep at least two decimal places through each step, especially when taking the square root. Rounding 3.403 to 3.4 before the square root introduces error.
Assuming one formula fits all: While Mosteller is standard, some settings use DuBois, Boyd, or other formulas. If your doctor mentions a different BSA value, they may be using another equation. Don't assume an error; ask which formula they used.
Forgetting this is an estimate, not medical advice. This calculator is a tool for reference and education only. Drug dosing, burn assessment, and other clinical decisions must always be made by a qualified healthcare provider who considers your full medical history, kidney and liver function, and other factors beyond BSA alone.
Recalculate your BSA if your weight or height changes significantly, and always verify the result with your doctor before it affects any treatment decision.