Answer:
[tex]\boxed {\tt d=2.64 \ g/cm^3}[/tex]
[tex]\boxed {\tt Not \ a \ diamond}[/tex]
Explanation:
Density can be found by dividing the mass by the volume.
[tex]d=\frac{m}{v}[/tex]
The mass is 5.28 grams and the volume is 2 cubic centimeters.
[tex]m=5.28 \ g\\v= 2 \ cm^3[/tex]
Substitute the values into the formula.
[tex]d=\frac{5.28 \ g }{2 \ cm^3}[/tex]
Divide.
[tex]d=2.64 \ g/c^3[/tex]
The density of the unknown substance is 2.64 grams per cubic centimeter.
The density of a diamond is about 3.5 grams per cubic centimeter. Since 2.64 is not equal to 3.5, the unknown substance is not a diamond.
