Question

# The density of titanium is 4.51 $g/cm^3$. What is the volume (in cubic inches) of 3.5 lb of titanium?

Solution

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So here we are given the density of titanium 4.51 g/cm$^3$ and we are required to find the volume of 3.5 lb of titanium in in$^3$.

Convert first 4.51 g/cm$^3$ to lb/in$^3$ Using the conversion factors:

1kg=1000g

1kg=2.205 lb

1 in=2.54 cm

$4.51 \dfrac{g}{cm^3} \times \dfrac{1kg}{1000g} \times \dfrac{2.205 lb}{1kg} \times (\dfrac{2.54 cm}{in})^3=0.1630 lb/ in^3$

To solve the problem we will use the formula $volume=\dfrac{mass}{density}$. So we have: volume=$\dfrac{3.5 lb}{0.1630 \dfrac{lb}{in^3}}$= 21.47 cm$^3$

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