Respuesta :

Density of titanium is [tex]4.51 g/cm^{3}[/tex] and mass given is 3.9 lb. First convert mass from pound to gram as follows:

1 lb=453.592 g

Thus, [tex]3.9 lb\rightarrow 3.9\times 453.592 g\approx 1770g[/tex]

Density of a substance is defined as mass per unit volume. Thus, volume can be calculated as follows:

[tex]V=\frac{m}{d}[/tex]

Putting the values,

[tex]V=\frac{1770 g}{4.51 g/cm^{3}}=392.46 cm^{3}[/tex]

Converting the volume into cube inches:

Since, 1 cm=0.3937 inch

thus, [tex]1cm^{3}=0.06102 inch^{3}[/tex]

and,

[tex]392.46 cm^{3}\rightarrow 392.46\times 0.06102 inch^{3}=23.95inch^{3}[/tex]

Therefore, volume of titanium in cube inches will be [tex]23.95inch^{3}[/tex]