# Tag Info

Consider a cube with side length $a$. Then its perimeter is proportional to $a$, its surface area $A$ is proportional to $a^2$, and its volume $V$ is proportional to $a^3$. It's clear that any reasonable 3D shape satisfies the same kind of scaling, which implies $A \propto V^{2/3}$. However, it's possible for fractals to have perimeter/area/volume that ...