This concept was a bit hard to grasp, because I'm bad at seeing the real-world implications of multiplication. Division makes sense, but multiplication is harder for me. Pressure-volume work is measured in $1$ Pa $\times$ m$^3$. It says that $1$ Pa $\times$ m$^3 = 1$ J.
Does that mean that no matter what the volume of the thermodynamic system is, if it exerts $1$ Pa onto its surroundings, its doing $1$ Joule of work? Again, I'm not very learned in science, math and thermodynamics, but this looks like $1$ Pa $\times$ $1$ m$^3 = 1$ J. Is this another way of saying:
$x$ Pa $\times$ $1$ m$^3 = x$ J
$1$ Pa $\times$ $x$ m$^3 = x$ J
Basically saying that either the volumetric quantity or the pressure quantity has a $1/1$ relation with the energy of the work (J), meaning the other quantity is equal to $1$.