Write a formula showing the dependence of the mass of a piece of cork on its volume, if the density of cork is 0.18g/cm3. Using the formula, find
the volume of a piece of cork with a mass of 64.8g
What's the formula?
To find the formula showing the dependence of the mass of a piece of cork on its volume, we need to use the formula:
Density = Mass / Volume
Since the density of cork is given as 0.18g/cm3, we can rearrange the formula to solve for the mass:
Mass = Density * Volume
Now, we can substitute the given values into the formula to find the volume of a piece of cork with a mass of 64.8g:
Mass = 64.8g
Density = 0.18g/cm3
64.8g = 0.18g/cm3 * Volume
To isolate the volume, we divide both sides of the equation by the density:
Volume = Mass / Density
Volume = 64.8g / 0.18g/cm3
Now, we need to ensure the units are consistent. Since the density is given in grams per cubic centimeter (g/cm3), the mass should also be in grams (g). If the mass is given in a different unit, it needs to be converted.
Assuming the mass is already in grams, we can perform the calculation:
Volume = 64.8g / 0.18g/cm3 = 360 cm3
Therefore, the volume of a piece of cork with a mass of 64.8g is 360 cm3.
m = rho * V
rho is the Greek letter used for density
If you are not a physicist you could use r or k or something instead of rho.
its 43.2
mass = density * volume
or
m = rho * V
64.8 grams = 0.18 grams/cm^3 * V
so
V = (64.8 / 0.18) cm^3