Answer:
16.791 grams
Explanation:
The density formula is:
[tex]d=\frac{m}{v}[/tex]
Rearrange the formula for m, the mass. Multiply both sides of the equation by v.
[tex]d*v=\frac{m}{v}*v[/tex]
[tex]d*v=m[/tex]
The mass of the gold nugget can be found by multiplying the density and volume. The density is 19.3 grams per cubic centimeter and the volume is 0.87 cubic centimeters.
[tex]d= 19.3 g/cm^3\\v-0.87 cm^3[/tex]
Substitute the values into the formula.
[tex]m=d*v[/tex]
[tex]m= 19.3 g/cm^3*0.87 cm^3[/tex]
Multiply. Note that the cubic centimeters, or cm³ will cancel each other out.
[tex]m=19.3 g*0.87[/tex]
[tex]m=16.791 g[/tex]
The mass of the gold nugget is 16.791 grams.
