Health & movement

Body surface area calculator with Mosteller formula

Estimate body surface area from height and weight and see the square-root calculation in square metres.

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Explore the result

Compare the stated assumptions using these worked scenarios.

Worked example comparison
ExampleOutputWhat to notice
A square-root exampleMosteller estimated body surface area2 m²The intermediate four has square root two square metres.
Another exact resultMosteller estimated body surface area2 m²144 cm and 100 kg also give two square metres.
Quarter the productMosteller estimated body surface area1 m²At 180 cm and 20 kg, the result is one square metre.

Check your understanding

Why is the result not height times weight divided by 3600?

That is the intermediate value; Mosteller takes its square root.

Can I enter metres for height?

Convert to centimetres first.

Behind the numbers

How this calculation works

Multiply the numerical centimetre height and kilogram weight, divide by the formula’s unit-specific constant 3,600, then take the square root. The output is an estimated surface area in square metres. Height or weight in a different unit must be converted first; the constant is not unchanged when the measurement system changes.

THE FORMULAMosteller BSA (m²) = √(height cm × weight kg / 3600)

A worked example

At 180 cm and 80 kg, the intermediate value is 180×80/3600 = 4. Its square root is 2 m². This is a formula estimate, not a direct measurement of skin surface.

Good to know

Mosteller formula only. Body shape, unusual composition and clinical circumstances can limit an estimate. The tool does not calculate a medication dose, fluid prescription or absolute kidney clearance. Clinical protocols may require another method or additional checks.

The square root is part of the unit-specific equation

The Mosteller equation combines height in centimetres and weight in kilograms using the constant 3,600. The square root is essential: 180×80/3600 is four, but the estimated surface area is two square metres. The intermediate four should not be labeled as the final BSA.

The height converter can prepare centimetres from feet and inches before entry. Mixing a height in metres with the centimetre constant would produce the wrong result even if the number looked reasonable. The tool keeps the accepted units beside the fields and the output unit beside the result.

A surface-area estimate is not a dosing instruction

Body surface area is a modelled physical quantity. Some clinical protocols use it as one ingredient, but this calculator supplies no drug, dose, indication or adjustment rule. A mathematically correct surface area is not enough information to determine a safe clinical prescription.

The eGFR calculator reports a kidney estimate indexed to 1.73 m², which is another reason unit labels matter. An indexed rate and a person’s surface-area estimate are different quantities. Do not combine them casually to obtain a treatment instruction. Mosteller is also only one surface-area equation; individual body shape can differ from the populations behind such formulas.

A few questions, answered

Why is the result not height times weight divided by 3600?

That is the intermediate value; Mosteller takes its square root.

Can I enter metres for height?

Convert to centimetres first.

Will this tell me a medication dose?

No. It estimates surface area only.

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