Question

A sample of metal has a mass of 10.5 grams and a volume of 1.21 cm cubed. What is the density of the metal?

Answer 1

`\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.