We appreciate your visit to In medicine body surface area BSA is used to help determine proper dosage for medications The equation below models the relationship between BSA in square. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine the height of a person who weighs 198 pounds and has a Body Surface Area (BSA) of 2.1 square meters, we can use the given formula for BSA, which is:
[tex]\[ BSA = \sqrt{\frac{H \cdot W}{3131}} \][/tex]
Here, [tex]\( H \)[/tex] is the height in centimeters, and [tex]\( W \)[/tex] is the weight in kilograms. Let's follow these steps to find the height:
1. Convert the Weight: First, we need to convert the weight from pounds to kilograms because the formula requires the weight in kilograms.
- We know that 1 pound equals approximately 0.453592 kilograms.
- So, if the person weighs 198 pounds, we can convert this weight to kilograms by multiplying:
[tex]\[ 198 \, \text{pounds} \times 0.453592 \, \text{kg/pound} = 89.811216 \, \text{kg} \][/tex]
2. Rearrange the BSA Formula: We need to isolate the height [tex]\( H \)[/tex] in the formula. Starting with:
[tex]\[ BSA = \sqrt{\frac{H \cdot W}{3131}} \][/tex]
- Square both sides to remove the square root:
[tex]\[ BSA^2 = \frac{H \cdot W}{3131} \][/tex]
- Rearrange to solve for [tex]\( H \)[/tex]:
[tex]\[ H = \frac{BSA^2 \times 3131}{W} \][/tex]
3. Calculate the Height: Now that we have the formula for [tex]\( H \)[/tex], we can substitute in the given BSA and the converted weight:
- Given BSA is 2.1.
- Plug in the values:
[tex]\[ H = \frac{(2.1)^2 \times 3131}{89.811216} \][/tex]
- Simplify and calculate the answer:
[tex]\[ H = \frac{4.41 \times 3131}{89.811216} \][/tex]
[tex]\[ H \approx 153.74 \, \text{cm} \][/tex]
The calculated height of the person is approximately 153.74 centimeters.
[tex]\[ BSA = \sqrt{\frac{H \cdot W}{3131}} \][/tex]
Here, [tex]\( H \)[/tex] is the height in centimeters, and [tex]\( W \)[/tex] is the weight in kilograms. Let's follow these steps to find the height:
1. Convert the Weight: First, we need to convert the weight from pounds to kilograms because the formula requires the weight in kilograms.
- We know that 1 pound equals approximately 0.453592 kilograms.
- So, if the person weighs 198 pounds, we can convert this weight to kilograms by multiplying:
[tex]\[ 198 \, \text{pounds} \times 0.453592 \, \text{kg/pound} = 89.811216 \, \text{kg} \][/tex]
2. Rearrange the BSA Formula: We need to isolate the height [tex]\( H \)[/tex] in the formula. Starting with:
[tex]\[ BSA = \sqrt{\frac{H \cdot W}{3131}} \][/tex]
- Square both sides to remove the square root:
[tex]\[ BSA^2 = \frac{H \cdot W}{3131} \][/tex]
- Rearrange to solve for [tex]\( H \)[/tex]:
[tex]\[ H = \frac{BSA^2 \times 3131}{W} \][/tex]
3. Calculate the Height: Now that we have the formula for [tex]\( H \)[/tex], we can substitute in the given BSA and the converted weight:
- Given BSA is 2.1.
- Plug in the values:
[tex]\[ H = \frac{(2.1)^2 \times 3131}{89.811216} \][/tex]
- Simplify and calculate the answer:
[tex]\[ H = \frac{4.41 \times 3131}{89.811216} \][/tex]
[tex]\[ H \approx 153.74 \, \text{cm} \][/tex]
The calculated height of the person is approximately 153.74 centimeters.
Thanks for taking the time to read In medicine body surface area BSA is used to help determine proper dosage for medications The equation below models the relationship between BSA in square. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
