  We examine the concept of black hole thermodynamic volume and its consistency
with thermodynamic mass in spacetimes that are not asymptotically flat but
instead have anisotropic Lifshitz scaling symmetry. We find that the
generalized Smarr relation in anti de Sitter space -- extended to include a
pressure-volume term -- holds here as well, and that there exists a definition
of thermodynamic mass and thermodynamic volume that satisfy both this relation
and the $1^{st}$ law of thermodynamics. We compare the thermodynamic mass with
other known quantities such as ADM, Brown-York and Hollands-Ishibashi-Marolf
masses. We also conjecture methods for obtaining a thermodynamic mass where
there is ambiguity due to the cosmological constant lengthscale depending on
the horizon radius lengthscale.
