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Body Surface Area (BSA) Calculator

BSA = √((H(cm) × W(kg)) / 3600)
BSA in square meters equals the square root of height in centimeters times weight in kilograms divided by 3600

Solution

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Quick Answer

The body surface area calculator returns BSA in square meters using the Mosteller formula: BSA = √((height_cm × weight_kg) / 3600). Height and weight accept centimeters or inches and kilograms or pounds. BSA is the basis for chemotherapy dosing, cardiac index, and pediatric maintenance fluid calculations.

Your example: Enter the patient's height and weight to calculate body surface area with the Mosteller formula for dosing and clinical normalization.

Worked Examples

Use these nursing scenarios to sanity-check the formula, then load the same values back into the calculator with one click.

Adult

What is the BSA for 170 cm and 70 kg?

This is the standard Mosteller example for an average-sized adult patient.

  1. Use the Mosteller formula: BSA = √((Height cm × Weight kg) / 3600).
  2. Substitute the patient's values: BSA = √((170 × 70) / 3600).
  3. Multiply height by weight: 170 × 70 = 11900.
  4. Divide by 3600: 11900 / 3600 ≈ 3.3056.
  5. Take the square root: √3.3056 ≈ 1.8181.
  6. The patient's body surface area is about 1.8181 m².

This is the same example many nursing and oncology references use to teach the Mosteller method.

Imperial Units

What is the BSA for 68 inches and 154 pounds?

Many bedside measurements in the U.S. start in inches and pounds, so the first step is unit conversion.

  1. Convert height: 68 in × 2.54 = 172.72 cm.
  2. Convert weight: 154 lb ÷ 2.2046 ≈ 69.85 kg.
  3. Use BSA = √((Height cm × Weight kg) / 3600).
  4. Substitute the metric values: BSA = √((172.72 × 69.85) / 3600).
  5. Compute inside the radical and then take the square root.
  6. The patient's body surface area is about 1.8310 m².

This example shows why accurate inch-to-cm and lb-to-kg conversion matters before BSA dosing.

Pediatric

What is the BSA for 110 cm and 18 kg?

Smaller patients can have a much lower BSA even when they look proportionally similar to adults.

  1. Use the Mosteller formula: BSA = √((Height cm × Weight kg) / 3600).
  2. Substitute the values: BSA = √((110 × 18) / 3600).
  3. Multiply height by weight: 110 × 18 = 1980.
  4. Divide by 3600: 1980 / 3600 = 0.55.
  5. Take the square root: √0.55 ≈ 0.7416.
  6. The child's body surface area is about 0.7416 m².

BSA-based dosing becomes especially important when adult-size fixed doses would be unsafe.

Mosteller BSA Formula

The Mosteller formula is the most widely used method for calculating body surface area in clinical settings. It requires only height and weight, making it practical for bedside calculations.

BSA (m²) = √((Height cm × Weight kg) / 3600)

How It Works

Enter the patient's height and weight above to instantly calculate body surface area using the Mosteller formula. BSA is used to individualize drug dosing for chemotherapy, immunosuppressants, and other narrow-therapeutic-index medications where a fixed adult dose would be unsafe.

Example Problem

A patient is 170 cm tall and weighs 70 kg. Calculate the BSA using the Mosteller formula.

  1. Identify the patient's metric height: 170 cm.
  2. Identify the patient's metric weight: 70 kg.
  3. Use the Mosteller formula BSA = sqrt((Height × Weight) / 3600).
  4. Multiply height by weight: 170 × 70 = 11900.
  5. Divide by 3600: 11900 / 3600 ≈ 3.3056.
  6. Take the square root: sqrt(3.3056) ≈ 1.8181 m².

A typical adult BSA ranges from 1.5 to 2.2 m².

Key Concepts

BSA correlates more closely with physiological parameters like cardiac output, blood volume, and glomerular filtration rate than body weight alone. This is why chemotherapy protocols, some antibiotic dosing guides, and fluid resuscitation formulas reference BSA rather than weight.

Applications

  • Chemotherapy dosing (e.g., carboplatin AUC dosing)
  • Immunosuppressant dose calculation for transplant patients
  • Burn surface area estimation and fluid resuscitation
  • Cardiac index calculation (CI = CO / BSA)
  • Pediatric drug dosing when weight-based dosing is insufficient

Common Mistakes

  • Forgetting to convert height from inches to centimeters before applying the formula
  • Using pounds instead of kilograms without converting first
  • Confusing BSA (m²) with BMI (kg/m²) — they measure different things
  • Rounding BSA too aggressively, which compounds errors in dose calculations

Frequently Asked Questions

Why use BSA instead of body weight for dosing?

BSA correlates more closely with physiological parameters like cardiac output, blood volume, and renal function than body weight alone. This makes it a better predictor of how the body will process certain medications, particularly narrow therapeutic index drugs.

What is the Mosteller formula?

The Mosteller formula calculates BSA as the square root of (height in cm multiplied by weight in kg, divided by 3600). It was proposed by Dr. R.D. Mosteller in 1987 and is favored for its simplicity while maintaining accuracy comparable to more complex formulas.

Are there other BSA formulas?

Yes, other common formulas include Du Bois & Du Bois (1916), Haycock (1978), and Gehan & George (1970). The Mosteller formula is preferred in most clinical settings because it is simpler to calculate and produces results very close to the more complex formulas.

What is the formula for body surface area using Mosteller?

The Mosteller equation is BSA (m²) = sqrt((Height in cm × Weight in kg) / 3600). It is widely used because it is easy to calculate and gives results close to more complex BSA equations.

Do height and weight have to be metric before calculating BSA?

Yes. The Mosteller formula expects height in centimeters and weight in kilograms. If the patient is measured in inches or pounds, convert those values first so the formula is applied correctly.

When is BSA commonly used in nursing practice?

BSA appears most often in chemotherapy dosing, some immunosuppressant regimens, cardiac index calculations, and other situations where body size needs to normalize a dose or physiologic measurement more precisely than body weight alone.

Reference:

Mosteller RD. Simplified calculation of body-surface area. N Engl J Med. 1987;317(17):1098. https://doi.org/10.1056/NEJM198710223171717

Math & citations verified by Jimmy Raymond, Engineer
Safety-critical aircraft software background — the verification discipline behind these calculators · B.S. Environmental Engineering · B.S. Computer Science · Last reviewed 2026-05-10

Not a nurse or clinician. For clinical interpretation, verify against your institution's policies and the prescribing information before acting on any result.

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Disclaimer: This calculator is intended for educational purposes and to assist with BSA calculations. All results should be independently verified by a qualified healthcare professional. Always follow your facility's policies and the prescriber's orders.