Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 09, 2023

Calculate the body surface area (BSA) in square meters for an adult weighing $57 \mathrm{kg}$ and $170 \mathrm{cm}$ tall. Round to the nearest hundredth.

STEP 1

Assumptions1. The weight of the adult is57 kg. The height of the adult is170 cm3. We are using the Mosteller formula to calculate the Body Surface Area (BSA)
The Mosteller formula is a commonly used formula to calculate BSA in adults. It is defined as $BSA (m^) = \sqrt{\frac{Weight(kg) \times Height(cm)}{3600}}$

STEP 2

First, we need to plug in the given values for weight and height into the Mosteller formula.
$BSA = \sqrt{\frac{57 \times170}{3600}}$

STEP 3

Perform the multiplication in the numerator of the fraction.
$BSA = \sqrt{\frac{9690}{3600}}$

STEP 4

Perform the division in the fraction.
$BSA = \sqrt{2.69}$

STEP 5

Calculate the square root.
$BSA =1.64 \, m^2$ The Body Surface Area (BSA) of an adult weighing57 kg and whose height is170 cm is1.64 $m^2$ .

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