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

symbol: ρ=m/v

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:

V=m/ρ

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: