  We analyze some features of the role that extra dimensions, of radius $R$ in
the TeV$^{-1}$ range, can play in the soft breaking of supersymmetry and the
spontaneous breaking of electroweak symmetry. We use a minimal model where the
gauge and Higgs sector of the MSSM are living in the bulk of five dimensions
and the chiral multiplets in a four-dimensional boundary. Supersymmetry is
broken in the bulk by the Scherk-Schwarz mechanism and transmitted to the
boundary by radiative corrections. The particle spectrum is completely
predicted as a function of a unique $R$-charge. The massless sector corresponds
to the pure Standard Model and electroweak symmetry is radiatively broken with
a light Higgs weighing $\simlt$ 110 GeV. The $\mu$-problem is solved and
Higgsinos, gauginos and heavy Higgses acquire masses $\sim 1/R$. Chiral
sfermions acquire radiative squared-masses $\sim \alpha_i/R^2$. The effective
potential is explicitly computed in the bulk of extra dimensions and some
cosmological consequences can be immediately drawn from it. Gauge coupling
running and unification is studied in the presence of Scherk-Schwarz
supersymmetry breaking. The unification is similar to that in the
supersymmetric theory.
