Answer:
[tex]D=3.5\ gr/cm^3[/tex]
Step-by-step explanation:
Density
The density of an object of mass m and volume V is given by
[tex]\displaystyle D=\frac{m}{V}[/tex]
It can be expressed in common units like [tex]gr/lt, Kg/m^3, gr/cm^3[/tex] or any other combination of proper mass [M] by volume [V] units.
The data provided in the question is
[tex]m=200\ mg = 0.2\ gr[/tex]
[tex]V=0.057\ cm^3[/tex]
Thus, the measured density is
[tex]\displaystyle D=\frac{0.2\ gr}{0.057 \ cm^3}[/tex]
[tex]\boxed{D=3.5\ gr/cm^3}[/tex]
We have expressed the result with 1 decimal place because the mass was measured to the nearest hundred milligrams (or one-tenth grams). Any further decimal is senseless because that precision comes from calculations, not from measurements.
Answer:
3508.772mg per cm^3
Step-by-step explanation:
The function for Density is Mass divided by Volume and since the question above states the mass(200mg) and the volume(0.057cm^3), finding the density of the diamond in grams per cubic centimeter should be easy.
200/0.057 = 3508.772
So the answer is that the density of the diamond is 3508.772mg per cm^3.
