  A one-dimensional Casimir piston for massless scalar fields obeying Dirichlet
boundary conditions in high-dimensional spacetimes within the frame of
Kaluza-Klein theory is analyzed. We derive and calculate the exact expression
for the Casimir force on the piston. We also compute the Casimir force in the
limit that one outer plate is moved to the extremely distant place to show that
the reduced force is associated with the properties of additional spatial
dimensions. The more dimensionality the spacetime has, the stronger the
extra-dimension influence is. The Casimir force for the piston in the model
excluding one plate under the background with extra compactified dimensions
always keeps attractive. Further we find that when the limit is taken the
Casimir force between one plate and the piston will change to be the same form
as the corresponding force for the standard system consisting of two parallel
plates in the four-dimensional spacetimes if the ratio of the plate-piston
distance and extra dimensions size is large enough.
