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In this paper, we have constructed a five-dimensional Bianchi type I cosmological model with strange quark matter in the context of Saez-Ballester theory of gravity. We have discussed a five-dimensional cosmological model by using the special rule of variation for the Hubble parameter in the shape of H = Da-1 and the equation of state for strange quark matter. Two different models for n ≠ 0 and n = 0 have been discussed. Also, the accelerated expansion of the Universe has been discussed by using various physical parameters and its graphical representation.