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?

Answer 1

Answer:

$\boxed {\tt 944.748 \ grams}$

Explanation:

The formula for density is:

$d=\frac{m}{v}$

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

$d*v=\frac{m}{v} *v$

$d*v=m$

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.