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

Respuesta :

Answer:

[tex]\boxed {\tt 944.748 \ grams}[/tex]

Explanation:

The formula for density is:

[tex]d=\frac{m}{v}[/tex]

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

[tex]d*v=\frac{m}{v} *v[/tex]

[tex]d*v=m[/tex]

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.

[tex]d= 19.32 \ g/cm^3 \\v=48.9 \ cm^3[/tex]

Substitute the values into the formula.

[tex]m= 19.32 \ g/cm^3 *48.9 \ cm^3[/tex]

Multiply. Note the centimeters cubed will cancel out.

[tex]m= 19.32 \ g * 48.9[/tex]

[tex]m= 944.748 \ g[/tex]

The mass of the gold is 944.748 grams.