Question

The total body surface area, or BSA, of a human is difficult to calculate. There are various models that estimate BSA based on a person's weight and height. One simpler model isBSA = sqrt (wh/3600)where w= weight in kg and h= height in cm. a. Using this model, estimate the height of a person who weighs 72 kg and whose BSA is 1.9.

Answer 1

CaTansposing The modeled function is given as,

$B.S.A\text{ = }\sqrt{\frac{wh}{3600}}$

For w = 72 kg and B.S.A = 1.9, height is calculated as follows,

$1.9=\text{ }\sqrt{\frac{72\times h}{3600}}$

Disposing root in L.H.S,

$\begin{gathered} 1.9^2\text{ = }\frac{72\times h}{3600} \\ 3.61\text{ }\times\text{ 3600 = 72 }\times\text{ h} \end{gathered}$

Calculating the value of h,

$\begin{gathered} h\text{ = }\frac{3.61\times3600}{72} \\ h\text{ = }\frac{12996}{72} \\ h\text{ = 180.5} \end{gathered}$

Thus the required value of height is 180.5 cm.