Answer:
[tex]\boxed {\boxed {\sf 24.2624 \ g}}}[/tex]
Explanation:
Density measures mass per volume. The volume is
[tex]\rho=\frac{m}{v}[/tex]
The density of limestone is 2.72 grams per cubic centimeter. We have a piece of limestone with a volume of 8.92 cubic centimeters.
Substitute the values into the formula.
[tex]2.72 \ g/cm^3=\frac{m}{8.92 \ cm^3}[/tex]
Now we solve for m, the mass, by isolating the variable.
m is being divided by 8.92 cubic centimeters. The inverse of division is multiplication, so we multiply both sides by 8.92 cubic centimeters.
[tex]8.92 \ cm^3 * 2.72 \ g/cm^3=\frac{m}{8.92 \ cm^3}* 8.92 \ cm^2[/tex]
[tex]8.92 \ cm^3 * 2.72 \ g/cm^3=m[/tex]
The units of cubic centimeters cancel out.
[tex]24.2624 \ g =m[/tex]
The mass of this piece of limestone is 24.2624 grams.
