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Tanveer Badar · Answer 1 · 2022-03-18T17:55:22+0000

Answer:

$\boxed {\boxed {\sf 8.68 \ g/cm^3}}$

Step-by-step explanation:

The density of a substance is its mass per unit volume. The formula for calculating density is:

$\rho= (m)/(v)$

The mass of the sample of metal is 10.5 grams. The volume of the sample of metal is 1.21 cubic centimeters.

m= 10.5 g
v= 1.21 cm³

Substitute these values into the formula.

$\rho= ( 10.5 \ g )/( 1.21 \ cm^3)$

Divide.

$\rho= 8.67768595 \ g/cm^3$

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.

$\rho \approx 8.68 \ g/cm^3$

The density of the metal is approximately 8.68 grams per cubic centimeter.

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