Question

The density of titanium is 4.51 g/cm3. what is the volume (in cubic inches) of 3.9 lb of titanium?

Answer 1

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

1 lb=453.592 g

Thus, $3.9 lb\rightarrow 3.9\times 453.592 g\approx 1770g$

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

$V=\frac{m}{d}$

Putting the values,

$V=\frac{1770 g}{4.51 g/cm^{3}}=392.46 cm^{3}$

Converting the volume into cube inches:

Since, 1 cm=0.3937 inch

thus, $1cm^{3}=0.06102 inch^{3}$

and,

$392.46 cm^{3}\rightarrow 392.46\times 0.06102 inch^{3}=23.95inch^{3}$

Therefore, volume of titanium in cube inches will be $23.95inch^{3}$