If the density of carbon is 3.51 g/cm3, and you have a small diamond (pure carbon) that has a mass of 0.0270 grams, what is the volume?
mass = volume x density
You know mass and density, substitute and solve for volume in cc.
To find the volume of the small diamond, we can use the formula:
Density = Mass / Volume
Rearranging the formula, we get:
Volume = Mass / Density
Given that the mass of the small diamond is 0.0270 grams, and the density of carbon is 3.51 g/cm3, we can substitute these values into the formula to calculate the volume.
Volume = 0.0270 g / 3.51 g/cm3
To divide grams by grams per cubic centimeter, we need to make sure the units cancel out properly. The unit of mass (grams) is in the numerator, while the unit of density (grams per cubic centimeter) is in the denominator. Since grams on the numerator and denominator of a fraction cancel each other out, we can proceed with the calculation:
Volume = 0.0270 g / 3.51 g/cm3
Volume ≈ 0.00770 cm3
Therefore, the volume of the small diamond is approximately 0.00770 cubic centimeters.