Question

The density of a sample of gold is 19.32 g/cm'. If the sample has a volume of 48.9 cm', what is the mass?

if two objects have the same mass but different volumes

Answer 1

`\boxed {\tt 944.748 \ grams}`

Step-by-step explanation:

The formula for density is:

`d=(m)/(v)`

Rearrange the formula for mass, m. Multiply both sides by v.

`d*v=(m)/(v) *v`

`d*v=m`

Mass is found by multiplying the mass by the volume.

The density of the gold is 19.32 grams per cubic centimeter. The volume is 48.9 cubic centimeters.

`d= 19.32 \ g/cm^3 \\v=48.9 \ cm^3`

Substitute the values into the formula.

`m= 19.32 \ g/cm^3 *48.9 \ cm^3`

Multiply. Note the centimeters cubed will cancel out.

`m= 19.32 \ g * 48.9`

`m= 944.748 \ g`

The mass of the gold is 944.748 grams.