Body Surface Area (BSA) Calculator
Calculate body surface area using the Du Bois formula.
Step-by-Step Solution
About Body Surface Area (BSA) Calculator
Calculate body surface area using the Du Bois formula. This calculator provides instant results with step-by-step explanations to help you understand the calculation process.
How to use this calculator
- Enter the person's weight in kilograms.
- Enter the person's height in centimeters.
- Use the calculator to apply the Du Bois formula and get the BSA result.
The formula explained
$$ \text{BSA} = 0.007184 \times \text{weight}^{0.425} \times \text{height}^{0.725} $$
- \(\text{BSA}\) = body surface area
- \(\text{weight}\) = body weight in kilograms
- \(\text{height}\) = body height in centimeters
- \(0.007184\) = Du Bois constant
- \(0.425\) = weight exponent
- \(0.725\) = height exponent
Step by step method
- Take the weight value in kilograms and the height value in centimeters.
- Raise the weight to the 0.425 power and the height to the 0.725 power.
- Multiply those two results together, then multiply by 0.007184.
- Read the final body surface area in square meters.
Worked example
For a person who weighs 70 kilograms and is 175 centimeters tall, here is how the body surface area is found.
- Substitute the values into the formula: \(\text{BSA} = 0.007184 \times 70^{0.425} \times 175^{0.725}\).
- Compute the powered terms: \(70^{0.425} \approx 6.022\) and \(175^{0.725} \approx 45.252\).
- Multiply everything: \(0.007184 \times 6.022 \times 45.252 \approx 1.96\).
Answer. The body surface area is about 1.96 square meters.
Tips and common mistakes
- Use kilograms for weight and centimeters for height, since the formula expects those units.
- Do not mix in pounds or inches unless the tool specifically converts them first.
- Remember that the result is an estimate, not a direct physical measurement.
- If you are checking a calculation, make sure the exponents are applied before multiplying by the constant.
Frequently asked questions
What formula does this calculator use?+
This calculator uses the Du Bois formula for body surface area. It combines weight and height with fixed exponents and a constant to estimate body surface area in square meters.
What units should I enter?+
Enter weight in kilograms and height in centimeters. Those are the units used by the formula in this tool, so using other units can give a wrong result.
Why is body surface area useful?+
Body surface area is often used in healthcare because it can help estimate drug dosing and compare body size more consistently than weight alone. It is an estimate, so it should be interpreted in context.
Is this calculator exact?+
It gives a formula based estimate, not a direct measurement. The result is useful for many practical purposes, but small differences can happen depending on the formula used.
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