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The Mosteller formula for calculating adult body surface area is [tex]B=\sqrt{\frac{h w}{3131}}[/tex], where [tex]B[/tex] is an individual's body surface area in square meters, [tex]h[/tex] is the individual's height in inches, and [tex]w[/tex] is the individual's weight in pounds.

Find the body surface area of an individual who is 66 inches tall and weighs 139 pounds.

The body surface area of the individual is [tex]\square[/tex].

(Do not round until the final answer. Then round to two decimal places as needed.)

Answer :

To find the body surface area of an individual using the Mosteller formula, we'll follow these steps:

### Step-by-Step Solution:

1. Write Down the Given Values:
- Height (h): 66 inches
- Weight (w): 139 pounds

2. Use the Mosteller Formula:
- The formula for calculating body surface area (B) is:
[tex]\[
B = \sqrt{\frac{h \times w}{3131}}
\][/tex]

3. Substitute the Values into the Formula:
- Plug the height and weight into the formula:
[tex]\[
B = \sqrt{\frac{66 \times 139}{3131}}
\][/tex]

4. Calculate the Division:
- First, multiply the height and weight:
[tex]\[
66 \times 139 = 9174
\][/tex]
- Then divide by 3131:
[tex]\[
\frac{9174}{3131} \approx 2.931
\][/tex]

5. Calculate the Square Root:
- Finally, find the square root of the result:
[tex]\[
\sqrt{2.931} \approx 1.7117401367474432
\][/tex]

6. Round the Result:
- The body surface area 1.7117401367474432 square meters rounded to two decimal places is:
[tex]\[
\text{Body surface area} \approx 1.71
\][/tex]

Therefore, the body surface area of the individual is approximately 1.71 square meters.

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