Mathematically Boyle's law = PV = K
Where P = Pressure
and V = Volume
By definition Pressure = \( \frac{F}{A} = \frac{F}{M \times M} \)
Again Workdone = force x displacement
therefore \( PV = \frac{F}{A} \times V = \frac{F}{M^2} \times \frac{M^3}{1} \\
PV = \frac{F}{x\times x} \times \frac{x \times x \times x}{1} = F \times x \)
= force x displacement