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In this work we generalize the Stefan-Boltzmann and Wien's displacement lawsfor a $D$-dimensional manifold composed by 4 non-compact dimensions and $D-4$compact dimensions, $ R^{1,3}$ x $T^{D-4} $. The electromagnetic field isassumed to pervade all compact and non-compact dimensions. In particular, thetotal radiated power becomes $ R(T) = \sigma_B T^4 + \sigma_D (a) \, T^D $,where $a$ is the size of the compact extra dimensions. For $D=10$, predictedfrom String Theory, and $D=11$, from M-Theory, the outcomes agree withavailable experimental data for $a$ as high as 2 x $10^{-7}$m.

The Size of Compact Extra Dimensions from Blackbody Radiation Laws