Question

Calculate the volume (in cm³) of 38.5 grams of platinum if the density of platinum is 21.5 g/cm³. Give your answer to 2 decimal places

Answer 1

D = 1.79 cm^3

Step-by-step explanation:

Use the formula Volume = Mass / Density with what you've been given.

V = 38.5 g / 21.5 g/cm^3

V = 1.790697674 = 1.79 cm^3

Answer 2

`\boxed {\boxed {\sf v\approx 1.79 \ cm^3}}`

Step-by-step explanation:

The formula of density is:

`d=(m)/(v)`

If the formula is rearranged for volume, it becomes:

`v=(m)/(d)`

The mass of the platinum is 38.5 grams.

The density is 21.5 grams per cubic centimeter.

`m=38.5 \ g \\d= 21.5 \ g/cm^3`

Substitute the values into the formula.

`v=(38.5 \ g)/( 21.5 \ g/cm^3)`

Divide. Note that the grams (g) will cancel each other out.

`v=1.79069767 \ cm^3`

Round to 2 decimal places (hundredth place). The 0 in the thousandth place tells us to leave the 9 in the hundredth place.

`v\approx 1.79 \ cm^3`

The volume is about 1.79 cubic centimeters.