In a recent paper it was shown that the properties of Schwarzschild bl
ack holes in 8 dimensions are correctly described up to factors of ord
er unity by Matrix theory compactified on T-3. Here we consider compac
tifications on tori of general dimension d. Although in general little
is known about the relevant d + 1 dimensional theories on the dual to
ri, there are hints from their application to near-extreme parallel Di
richlet d-branes, Using these hints we get the correct mass-entropy sc
aling for Schwarzschild black holes in (11 - d) dimensions. (C) 1998 E
lsevier Science B.V.