Body Surface Area Formula

Health Formula • Published on July 30, 2026 • Last updated August 09, 2026

Mathematical Equation

Mosteller Formula — $$BSA = \sqrt{\frac{\text{Height (cm)} \times \text{Weight (kg)}}{3600}}$$

Variable Definitions

Height

Standing height in centimeters

Weight

Body weight in kilograms

BSA

Body Surface Area, measured in square meters (m²)

Detailed Explanation

In-Depth Guide

The Mosteller formula is the simplest and most widely used method for estimating Body Surface Area, a measurement used clinically for drug dosing (especially chemotherapy) and for normalizing physiological measurements like kidney filtration rate (eGFR). Several other validated formulas exist (Du Bois, Haycock, Gehan & George, Boyd), each using slightly different regression coefficients, and are often averaged together since no single formula is universally agreed upon as most accurate.

How to Calculate: Step-by-Step

1. Record height in centimeters and weight in kilograms. 2. Multiply Height × Weight. 3. Divide the result by 3600. 4. Take the square root of that value to get BSA in square meters.

Worked Calculation Example

Height = 170 cm, Weight = 70 kg: - Height × Weight = 170 × 70 = 11,900 - 11,900 / 3600 ≈ 3.306 - BSA = √3.306 ≈ 1.82 m² - This is close to the typical adult male average of about 1.9 m².

Common Use Cases

  • Estimating drug dosing requirements that scale with body surface area
  • Normalizing kidney function tests (eGFR) to a standard body size
  • Comparing your BSA to population averages for reference

Frequently Asked Questions

BSA correlates more closely than body weight alone with metabolic rate and organ function, particularly for drugs like chemotherapy agents, making it a more precise basis for calculating safe and effective doses.

Each formula (Mosteller, Du Bois, Haycock, Gehan & George, Boyd) was derived from a different study population and regression method, so results typically vary by only a few percent — Mosteller is preferred for its simplicity while Du Bois is often considered a historical clinical standard.

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