Answer:
[tex]\boxed {\boxed {\sf v\approx 1.79 \ cm^3}}[/tex]
Explanation:
The formula of density is:
[tex]d=\frac{m}{v}[/tex]
If the formula is rearranged for volume, it becomes:
[tex]v=\frac{m}{d}[/tex]
The mass of the platinum is 38.5 grams.
The density is 21.5 grams per cubic centimeter.
[tex]m=38.5 \ g \\d= 21.5 \ g/cm^3[/tex]
Substitute the values into the formula.
[tex]v=\frac{38.5 \ g}{ 21.5 \ g/cm^3}[/tex]
Divide. Note that the grams (g) will cancel each other out.
[tex]v=1.79069767 \ cm^3[/tex]
Round to 2 decimal places (hundredth place). The 0 in the thousandth place tells us to leave the 9 in the hundredth place.
[tex]v\approx 1.79 \ cm^3[/tex]
The volume is about 1.79 cubic centimeters.
