  We calculate the maximum interior volume, enclosed by the event horizon, of a
($1+D$)-dimensional Schwarzschild black hole. Taking into account the mass
change due to Hawking radiation, we show that the volume increases towards the
end of the evaporation. This fact is not new as it has been observed earlier
for four dimensional case. The interesting point we observe is that this
increase rate decreases towards the higher value of space dimensions $D$; i.e.
it is a decelerated expansion of volume with the increase of spacial
dimensions. This implies that for a sufficiently large $D$, the maximum
interior volume does not change. The possible implications of these results are
also discussed.
