Question

The density of titanium is 4.51 g/cm^3

What is the volume (in cubic inches) of 3.4 lb of titanium?
Express your answer using two significant figures.

Answer 1

The volume of titanium is 20.86 cubic inches

Solution:

The volume is given by formula:

`volume = (mass)/(density)`

From given,

Density of titanium = 4.51
`g/cm^3`

Mass = 3.4 lb

Let us convert the mass to grams

1 pound = 453.592 grams

Therefore, 3.4 pound is equal to:

`3.4 \text{ pound } = 3.4 * 453.592 \text{ grams }\\\\3.4 \text{ pound } = 1542.2128\text{ grams }`

Now substitute the values into formula:

`volume = (1542.2128)/(4.51)\\\\volume = 341.95 cm^3`

Let us convert cubic centimeter to cubic inches

1 cubic centimeter = 0.0610237 cubic inches

Therefore,

`341.95\ cm^3 = 0.0610237 * 341.95\ in^3 = 20.86\ in^3`

Thus volume of titanium is 20.86 cubic inches