The density of human fat is [tex]0.918 g/cm^{3}[/tex]. The mass of the pure fat is 11.1 lbs.
First convert mass from lb to g as follows:
1 lb=453.592 g
Thus,
[tex]11.1 lb\rightarrow 11.1\times 453.592 g=5034.875 g[/tex]
Density of a substance is defined as mass per unit volume, thus volume can be calculated as:
[tex]V=\frac{m}{d}[/tex]
Putting the values,
[tex]V=\frac{5034.875 g}{0.918 g/cm^{3}}=5484.61 cm^{3}[/tex]
Therefore, volume gained by person will be [tex]5484.61 cm^{3}[/tex].