The effective-field theory (EFT) with correlations based on the probability distribution technique has been used to study the magnetic properties of an antiferromagnetic cubic nanoparticle (nanocube). We have found that the surface shell parameters have strong effects on the compensation temperature, the magnetization profiles, coercivity, the shape and the number of the hysteresis loops for certain parameters. The effect of reduced temperature has also been examined on the hysteresis loops.