Question

The density of titanium is 4.51 g/cm3g/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/cm3^3 and we are required to find the volume of 3.5 lb of titanium in in3^3.

Convert first 4.51 g/cm3^3 to lb/in3^3 Using the conversion factors:

1kg=1000g

1kg=2.205 lb

1 in=2.54 cm

4.51gcm3×1kg1000g×2.205lb1kg×(2.54cmin)3=0.1630lb/in34.51 \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=massdensityvolume=\dfrac{mass}{density}. So we have: volume=3.5lb0.1630lbin3\dfrac{3.5 lb}{0.1630 \dfrac{lb}{in^3}}= 21.47 cm3^3

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