Answer:
[tex]\boxed {\boxed {\sf 8.68 \ g/cm^3}}[/tex]
Explanation:
The density of a substance is its mass per unit volume. The formula for calculating density is:
[tex]\rho= \frac{m}{v}[/tex]
The mass of the sample of metal is 10.5 grams. The volume of the sample of metal is 1.21 cubic centimeters.
Substitute these values into the formula.
[tex]\rho= \frac{ 10.5 \ g }{ 1.21 \ cm^3}[/tex]
Divide.
[tex]\rho= 8.67768595 \ g/cm^3[/tex]
The original measurements of mass and volume have 3 significant figures, so our answer must have the same. For the number we calculated, that is the hundredth place. The 7 in the thousandth place (8.67768595) tells us to round the 7 up to an 8.
[tex]\rho \approx 8.68 \ g/cm^3[/tex]
The density of the metal is approximately 8.68 grams per cubic centimeter.
