Answer:
[tex]\boxed {\boxed {\sf 117 \ grams}}[/tex]
Explanation:
We are asked to calculate the mass of an object. We are given the density and volume.
Density is a substance's mass per unit volume. Therefore, the formula for calculating density is:
[tex]\rho= \frac{m}{v}[/tex]
The density of the object is 1.56 grams per cubic centimeter. The volume of the object is 75 cubic centimeters. Substitute these values into the formula.
[tex]1.56 \ g/cm^3 = \frac{m}{75 \ cm^3}[/tex]
We are solving for the mass, so we must isolate the variable m. It is being divided by 75 cubic centimeters. The inverse operation of division is multiplication. Multiply both sides of the equation by 75 cubic centimeters.
[tex]75 \ cm^3 *1.56 \ g/cm^3 = \frac{m}{75 \ cm^3}* 75 \ cm^3[/tex]
[tex]75 \ cm^3 *1.56 \ g/cm^3 = m[/tex]
The units of cubic centimeters cancel.
[tex]75 *1.56 \ g = m[/tex]
[tex]117 \ g =m[/tex]
The mass of the object is 117 grams.
