the density of a diamond is 3.52 grams per cubic centimeter. Sally has a diamond that has a volume of 20 mm^3. What is the weight of the diamond?.
m=mass[gr]
V=Volume[cm^3]
rho=densty[gr/cm^3]
1cm=10mm
1mm=1/10 cm
1mm^3=(1/10)^3=1/1000=0.001cm^3
V=20*0.001=0.02 cm^3
m=V*rho=0.02*3.52=0.0704 gr
P.S.
rho is small Greek letter rho
To find the weight of the diamond, we can use the density and volume relationship.
The formula to calculate the weight of an object is:
Weight = Density x Volume
Given:
Density of diamond = 3.52 grams per cubic centimeter
Volume of diamond = 20 mm^3
First, convert the volume from mm^3 to cm^3 by dividing by 1000, since there are 1000 mm in a cm:
Volume = 20 mm^3 / 1000 = 0.02 cm^3
Now, we can substitute the values into the formula:
Weight = 3.52 grams/cm^3 * 0.02 cm^3
The cm^3 units cancel out, leaving us with the weight in grams:
Weight = 3.52 grams/cm^3 * 0.02 cm^3 = 0.0704 grams
Therefore, the weight of the diamond is 0.0704 grams.