Chapter R.2, Problem 73E

In computing the dosage for chemotherapy, the measure of a patient’s body surface area is needed. A good approximation of this area, in square meters $\left(m^2\right)$, is given by

$s=\sqrt{\frac{hw}{3600}},$

where w is the patient’s weight in kilograms (kg) and h is the patient’s height in centimeters (cm). (Source: U.S. Oncology.) Use this information for Exercises 73 and 74. Round your answers to the nearest thousandth.

Assume that a patient’s height is 170 cm. Find the patient’s approximate surface area assuming that:

a. The patient’s weight is 70 kg.

b. The patient’s weight is 100 kg.

c. The patient’s weight is 50 kg.