The direct correlation function of a fluid mixture of parallel hard cu
bes is obtained by using Rosenfeld's fundamental measure approximation
. This approximation is thermodynamically consistent (compressibility
and virial equations of state are equal) and predicts a spinodal insta
bility of the binary mixture for large-to-small side ratio larger than
roughly 10, in qualitative agreement with simulations on the lattice
version of the model. In two dimensions the system never demixes, also
in agreement with the simulations.