Question

Some doctors base the dosage of a drug to be given to a patient on the patient's body surface area (BSA). The most commonly used formula for calculating BSA is BSA $=\sqrt{\frac{wh}{3,600}}$, where $w$ is the patient's weight (in $kg$), $h$ is the patient's height (in $cm$), and BSA is measured in square meters. Determine the height of a patient in $cm$ if he weighs $150kg$ and has a BSA of $2\sqrt{2}{m}^2$.

• A. $192$
• B. $182$
• C. $212$
• D. $202$

Answer 1

The correct option is A $192$

$BSA=\sqrt{\frac{wh}{3600}}$

Here, $w=150kg$, BSA = $2\sqrt{2}{m}^2$

$\therefore 2\sqrt{2}=\sqrt{\frac{wh}{3600}}$

Squaring both sides, we get $8=\frac{wh}{3600}$

$\therefore h=\frac{8\times 3600}{150}$

$\therefore h=8\times 24=192cm$