Health & Fitness
Intermediate

Body Surface Area (Mosteller)

Total skin surface area of the body.

Formula

BSA=h×m3600BSA = \sqrt{\frac{h \times m}{3600}}

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Variables

hHeight (cm)
mMass (kg)

Example

175 cm, 70 kg ⇒ √(3.40) ≈ 1.84 m²

How it works

The Mosteller formula gives an estimated body surface area (BSA) from a person’s height and mass. It works because BSA tends to scale with overall body size in a way that is roughly proportional to the square root of height times weight, and the constant 3600 is a unit-adjustment factor for centimetres and kilograms. In medicine, BSA is useful because many physiological quantities, especially drug doses and metabolic rates, relate more closely to body surface area than to body weight alone.

When to use it

Use this formula when you need a quick BSA estimate for medical or fitness-related calculations, such as dosing certain medications, assessing burn severity, or comparing metabolic demand between people of different sizes. It is most appropriate when height is in centimetres and mass is in kilograms.

Worked example, step by step

Step 1: Write the formula BSA = √((h × m) / 3600) Step 2: Substitute the values BSA = √((162 × 54) / 3600) Step 3: Multiply height and mass 162 × 54 = 8748 Step 4: Divide by 3600 8748 / 3600 = 2.43 Step 5: Take the square root BSA = √2.43 ≈ 1.56 m² Final answer: The body surface area is about 1.56 m².

Common mistakes to avoid

  • Using inches or pounds instead of centimetres and kilograms without converting first
  • Forgetting that the square root applies to the entire fraction, not just to one variable
  • Reporting the result in cm² instead of m²

Did You Know?

Body surface area, not weight, is used to calculate precise doses of chemotherapy drugs.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026