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* 453.592 g\approx 1770g`

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

`V=(m)/(d)`

Putting the values,

`V=(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* 0.06102 inch^(3)=23.95inch^(3)`

Therefore, volume of titanium in cube inches will be
`23.95inch^(3)`