Answer:
[tex]\boxed {\boxed {\sf 50 \ grams}}[/tex]
Explanation:
Density is the amount of mass per unit volume, so the formula is:
[tex]d = \frac{m}{v}[/tex]
The density of the substance is 5 grams per cubic centimeter and the volume is 10 cubic centimeters.
Substitute the values into the formula.
[tex]5 g/cm^3 = \frac{m}{10 \ cm^3}[/tex]
We are solving for the mass, so we have to isolate the variable m. It is being divided by 10 cubic centimeters. The inverse of division is multiplication, so we multiply both sides of the equation by 10 cm³.
[tex]10 \ cm^3 *5 g/cm^3 = \frac{m}{10 \ cm^3} * 10 \ cm^3[/tex]
[tex]10 \ cm^3 *5 g/cm^3 = m[/tex]
The units of cubic centimeters (cm³) cancel.
[tex]10 *5 g = m[/tex]
[tex]50 \ g=m[/tex]
The mass of the substance is 50 grams.
