Questions: Use the appropriate formula to determine the BSA of your patient. Round to two decimal places. Metric: BSA(m^2) = sqrtht(cm) * wt(kg) / 3600 Household: BSA(m^2) = sqrtht(in) * wt(lb) / 3131 Your patient is a child that measures 126 cm tall and weighs 15 kg. What is your patient's BSA?

Use the appropriate formula to determine the BSA of your patient. Round to two decimal places.
Metric: BSA(m^2) = sqrtht(cm) * wt(kg) / 3600
Household: BSA(m^2) = sqrtht(in) * wt(lb) / 3131
Your patient is a child that measures 126 cm tall and weighs 15 kg. What is your patient's BSA?
Transcript text: Question 6 of 10, Step 1 of 1 $5 / 10$ Correct Use the appropriate formula to determine the BSA of your patient. Round to two decimal places. Metric: $B S A\left(m^{2}\right)=\sqrt{\frac{h t(c m) \times w t(k g)}{3600}}$ Household: $B S A\left(m^{2}\right)=\sqrt{\frac{h t(i n) \times w t(l b)}{3131}}$ Your patient is a child that measures 126 cm tall and weighs 15 kg . What is your patient's BSA? Answer
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Solution

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Solution Steps

To solve for the Body Surface Area (BSA) of the patient using the metric formula, we will substitute the given height in centimeters and weight in kilograms into the formula. The formula for BSA in metric units is:

\[ BSA(m^2) = \sqrt{\frac{ht(cm) \times wt(kg)}{3600}} \]

Given:

  • Height (ht) = 126 cm
  • Weight (wt) = 15 kg

We will calculate the BSA by plugging these values into the formula and then round the result to two decimal places.

Step 1: Identify the Formula for BSA Calculation

To calculate the Body Surface Area (BSA) using the metric system, we use the formula:

\[ BSA(m^2) = \sqrt{\frac{ht(cm) \times wt(kg)}{3600}} \]

Step 2: Substitute the Given Values

Substitute the given height and weight into the formula:

  • Height, \( ht = 126 \, \text{cm} \)
  • Weight, \( wt = 15 \, \text{kg} \)

\[ BSA(m^2) = \sqrt{\frac{126 \times 15}{3600}} \]

Step 3: Simplify the Expression

Calculate the expression inside the square root:

\[ \frac{126 \times 15}{3600} = \frac{1890}{3600} = 0.525 \]

Step 4: Calculate the Square Root

Find the square root of the simplified expression:

\[ BSA(m^2) = \sqrt{0.525} \approx 0.7246 \]

Step 5: Round the Result

Round the result to two decimal places:

\[ BSA(m^2) \approx 0.72 \]

Final Answer

The Body Surface Area (BSA) of the patient is \(\boxed{0.72 \, m^2}\).

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