Human fat has a density of 0.918 g/cm^3. How much volume (in cm^3) is gained by a person who gains 10.1 lbs of pure fat?

Density is a physical property which describes the mass of a substance per unit of volume of the substance. It is expressed as Density = m / V and it has units like g/cm^3. We use the density given to solve the problem.

10.1 lbs (1 kg/2.2 lb)(1000 g / 1kg) / 0.918 g / cm^3 = 5001 cm^3

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RomeliaThurston RomeliaThurston · Answer 2 · 2019-08-29T01:09:14-04:00

Answer: The volume of human fat is \(4990.52cm^3\)

Explanation:

We are given:

Mass of human fat = 10.1 pounds

To convert the given mass grams, we use the conversion factor:

1 pound = 453.592 g

So, \(10.1 pounds=10.1\times 453.592=4581.3g\)

To calculate volume of a substance, we use the equation:

\(Density=\frac{Mass}{Volume}\)

Putting values in above equation, we get:

\(0.918g/cm^3=\frac{4581.3g}{\text{Volume of human fat}}\\\\\text{Volume of human fat}=4990.52cm^3\)

Hence, the volume of human fat is \(4990.52cm^3\)