The density equation can be re-arranged to make mass or volume the subject of the formula. This is very helpful when solving mathematical density problems.
Reminder of the density equation:
word: density = mass / volume
Rearranging the equation for mass
The rearranged version of the density equation for mass is:
m = ρ x V
The working below shows how you rearrange the density equation to find this:
Rearranging the equation for volume
The rearranged version of the density equation for volume is:
The working below shows how you rearrange the density equation to find this.
- We've already seen that the density equation can be rearranged to m=ρxV
- So to find the rearrangement to make V the subject of the formula: