Answer
$\approx22$ $ in^{3}$
Work Step by Step
1. Convert the density of Titanium from $g/cm^{3}$ to $lb/in^{3}$ by using the following conversion factors:
$1lb=453.5926g$
$1in^{3}=16.3871cm^{3}$
$p = \frac{4.51 g/cm^{3} \times 16.3871 cm^{3}/in^{3} }{453.5926 g/lb} = 0.1629 lb/in^{3}$
2. Divide the mass over density to get the volume
$V=\frac{m}{p}=\frac{3.5lb}{0.1629in^{3}}=21.48 in^{3}\approx 22in^3$
