To estimate the body surface area (BSA) of a person whose height is 150 centimeters and weight is 75 kilograms, we can use the Mosteller formula. The Mosteller formula is widely used in medical fields to approximate the BSA and is given by:
[tex]\[ \text{BSA} = \sqrt{\left(\frac{\text{height (cm)} \times \text{weight (kg)}}{3600}\right)} \][/tex]
Let's walk through the steps to calculate the BSA:
1. Multiply the height and weight:
- Height given: 150 cm
- Weight given: 75 kg
- Product: [tex]\( 150 \times 75 = 11250 \)[/tex]
2. Divide the product by 3600:
- Result: [tex]\( \frac{11250}{3600} = 3.125 \)[/tex]
3. Take the square root of the quotient:
- Result: [tex]\( \sqrt{3.125} \approx 1.7677669529663689 \)[/tex]
Rounding the final result to two decimal places, we get:
[tex]\[ \text{BSA} \approx 1.77 \, \text{m}^2 \][/tex]
Therefore, the estimated body surface area for a person with a height of 150 centimeters and weight of 75 kilograms is approximately 1.77 square meters.
