Answer :
To find the Body Surface Area (BSA) of an adult who is 165 cm tall and weighs 90 kg, you can use Mosteller's formula. This formula is a widely used method for calculating BSA and is given by:
[tex]\[ BSA = \sqrt{\frac{\text{height in cm} \times \text{weight in kg}}{3600}} \][/tex]
Let's break down the steps:
1. Identify the measurements:
- Height = 165 cm
- Weight = 90 kg
2. Substitute these values into the formula:
[tex]\[
BSA = \sqrt{\frac{165 \times 90}{3600}}
\][/tex]
3. Calculate the multiplication inside the square root:
[tex]\[
165 \times 90 = 14850
\][/tex]
4. Divide the result by 3600:
[tex]\[
\frac{14850}{3600} \approx 4.125
\][/tex]
5. Find the square root of the result:
[tex]\[
BSA = \sqrt{4.125} \approx 2.03 \, \text{m}^2
\][/tex]
Based on the calculation, the BSA of an adult who is 165 cm tall and weighs 90 kg is approximately [tex]\(2.03 \, \text{m}^2\)[/tex].
Therefore, the correct choice is:
3) 2.03 m²
[tex]\[ BSA = \sqrt{\frac{\text{height in cm} \times \text{weight in kg}}{3600}} \][/tex]
Let's break down the steps:
1. Identify the measurements:
- Height = 165 cm
- Weight = 90 kg
2. Substitute these values into the formula:
[tex]\[
BSA = \sqrt{\frac{165 \times 90}{3600}}
\][/tex]
3. Calculate the multiplication inside the square root:
[tex]\[
165 \times 90 = 14850
\][/tex]
4. Divide the result by 3600:
[tex]\[
\frac{14850}{3600} \approx 4.125
\][/tex]
5. Find the square root of the result:
[tex]\[
BSA = \sqrt{4.125} \approx 2.03 \, \text{m}^2
\][/tex]
Based on the calculation, the BSA of an adult who is 165 cm tall and weighs 90 kg is approximately [tex]\(2.03 \, \text{m}^2\)[/tex].
Therefore, the correct choice is:
3) 2.03 m²
