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Answer :
To find the body surface area of a person who is 63 inches tall and weighs 172 pounds using the given model, follow these steps:
1. Identify the variables:
- Height, [tex]\( h = 63 \)[/tex] inches
- Weight, [tex]\( w = 172 \)[/tex] pounds
2. Plug these values into the formula:
The formula for the body surface area [tex]\( A \)[/tex] is given by:
[tex]\[
A = \frac{\sqrt{h} \cdot \sqrt{w}}{56}
\][/tex]
3. Calculate [tex]\( \sqrt{h} \)[/tex] and [tex]\( \sqrt{w} \)[/tex]:
- Calculate the square root of the height: [tex]\( \sqrt{63} \)[/tex].
- Calculate the square root of the weight: [tex]\( \sqrt{172} \)[/tex].
4. Multiply the square roots:
- Multiply [tex]\( \sqrt{63} \)[/tex] and [tex]\( \sqrt{172} \)[/tex] together.
5. Divide by 56:
- Take the result of the multiplication and divide it by 56.
After performing these calculations, the surface area of the person is approximately 1.86 square meters.
Surface area [tex]\( \approx 1.86 \, \text{m}^2 \)[/tex]
1. Identify the variables:
- Height, [tex]\( h = 63 \)[/tex] inches
- Weight, [tex]\( w = 172 \)[/tex] pounds
2. Plug these values into the formula:
The formula for the body surface area [tex]\( A \)[/tex] is given by:
[tex]\[
A = \frac{\sqrt{h} \cdot \sqrt{w}}{56}
\][/tex]
3. Calculate [tex]\( \sqrt{h} \)[/tex] and [tex]\( \sqrt{w} \)[/tex]:
- Calculate the square root of the height: [tex]\( \sqrt{63} \)[/tex].
- Calculate the square root of the weight: [tex]\( \sqrt{172} \)[/tex].
4. Multiply the square roots:
- Multiply [tex]\( \sqrt{63} \)[/tex] and [tex]\( \sqrt{172} \)[/tex] together.
5. Divide by 56:
- Take the result of the multiplication and divide it by 56.
After performing these calculations, the surface area of the person is approximately 1.86 square meters.
Surface area [tex]\( \approx 1.86 \, \text{m}^2 \)[/tex]
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