Question

The Mosteller formula for calculating adult body surface area is Upper B equals StartRoot StartFraction hw
hw
3131​, where B is an​ individual's body surface area in square​ meters, h is the​ individual's height in​ inches, and w is the​ individual's weight in pounds. Find the body surface area of an individual who is 5757 inches tall and who weighs 138138 pounds.
Question content area bottom
Part 1
The body surface area of the individual is enter your response here
▼
​(Do not round until the final answer. Then round to two decimal places as​ needed.)

Answer 1

To calculate the body surface area (B) using the Mosteller formula, we use the formula:

\[
B = \sqrt{\frac{h \times w}{3131}}
\]

where:
- \( h \) is the height in inches,
- \( w \) is the weight in pounds.

Given:
- \( h = 57 \) inches,
- \( w = 138 \) pounds.

Let's plug in the values:

\[
B = \sqrt{\frac{57 \times 138}{3131}}
\]

First, calculate \( 57 \times 138 \):

\[
57 \times 138 = 7866
\]

Next, divide by 3131:

\[
\frac{7866}{3131} \approx 2.51
\]

Now, take the square root:

\[
B = \sqrt{2.51} \approx 1.5811
\]

Finally, round to two decimal places:

\[
B \approx 1.58 \, \text{m}^2
\]

So, the body surface area of the individual is approximately **1.58 m²**.