The subband structure of the narrow-gap semiconductor Hg1−xCdxTe is investigated theoretically at finite temperature by a modified sixbandk·p model based on the effective-mass approximation. A study of the complete surface energy spectrum is reported. The mobile, bound and resonant states are treated by considering energy states in a large quantum box. The theory is applied to cases with strong interband interaction when the resonant character of the subband states is prominent.