  The success of the first three years of operations of the LHC at
center-of-mass energies of 7 and 8 TeV radically changed the landscape of
searches for new physics beyond the standard model and our very way of thinking
about its possible origin and its hiding place. Among the paradigms of new
physics that have been probed quite extensively at the LHC, are various models
that predict the existence of extra spatial dimensions. In this review, the
current status of searches for extra dimensions with the CMS detector is
presented, along with prospects for future searches at the full energy of the
LHC, expected to be reached in the next few years.
