Question

prescription dosage
prescription dosage
doctors sometimes need to calculate the body surface area of their patient when
they are determining the specific dosage of a medicine they are administering. the
formula for body surface area is ( b ( h ) = \frac { sqrt { h cdot w } } { 3131 } ) where b(w) is the body
surface area in square meters, h is the height of the patient in inches, and w is the
weight of the patient in pounds.
what is the body surface area of a patient who is 68 inches
tall and weighs 161 pounds? round your answer to the
nearest hundredth.
( square mathrm { m } ^ { 2 } )

Explanation:

Step1: Substitute the values into the formula

Given \(H = 68\) inches and \(W=161\) pounds. The formula for body - surface area is \(B(H)=\frac{\sqrt{H\cdot W}}{3131}\). Substitute \(H = 68\) and \(W = 161\) into the formula: \(H\cdot W=68\times161 = 10948\).

Step2: Calculate the square root

\(\sqrt{H\cdot W}=\sqrt{10948}\approx104.63\).

Step3: Divide by 3131

\(B(H)=\frac{\sqrt{H\cdot W}}{3131}\), so \(B(H)=\frac{104.63}{3131}\approx0.0334\).

Answer:

\(0.03\)