QuestionYou are treating a patient who weighs 239 lb and is tall. The recommended dosage is 3 mg per square meter. Calculate the recommended amount for this patient. Use the BSA rounded to hundredths. Round this answer to the hundredths place mg
Studdy Solution
STEP 1
1. The patient's weight is 239 pounds.
2. The patient's height is 5 feet 9 inches.
3. The recommended dosage is 3 mg per square meter of body surface area (BSA).
4. The BSA is calculated using the Mosteller formula.
5. The final dosage should be rounded to the hundredths place.
STEP 2
1. Convert height and weight to metric units.
2. Calculate the BSA using the Mosteller formula.
3. Calculate the recommended dosage based on BSA.
4. Round the dosage to the hundredths place.
STEP 3
Convert height and weight to metric units.
- Convert weight from pounds to kilograms:
$ \text{Weight in kg} = \frac{239 \text{ lb}}{2.20462} \approx 108.41 \text{ kg}
\]
- Convert height from feet and inches to centimeters:
\text{Height in inches} = 5 \times 12 + 9 = 69 \text{ inches}
\]
\text{Height in cm} = 69 \times 2.54 = 175.26 \text{ cm}
\]
STEP 4
Calculate the BSA using the Mosteller formula: \[ \text{BSA} = \sqrt{\frac{\text{Height in cm} \times \text{Weight in kg}}{3600}} $ \[ \text{BSA} = \sqrt{\frac{175.26 \times 108.41}{3600}} \approx \sqrt{5.276} \approx 2.30 \text{ m}^2 $
STEP 5
Calculate the recommended dosage based on BSA: \[ \text{Dosage} = 3 \text{ mg/m}^2 \times 2.30 \text{ m}^2 = 6.90 \text{ mg} $
STEP 6
Round the dosage to the hundredths place.
The recommended dosage is:
\[
\boxed{6.90} \text{ mg} $
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