Three-dimensional (3D) Monte Carlo simulations based upon different models for the dissolution of a pure solid under a surface reaction control are presented. The analysis of the x-y and y-z profiles resulting from Monte Carlo snapshots using the dynamic scaling theory shows that when stochastic noise and lateral advance of the reacting interface are included in the dissolution processes, the roughness exponents are alpha congruent to 1/3 and beta congruent to 1/4, approaching the approximate values predicted by the Kardar, Parisi, and Zhang motion equation in 3D. Otherwise, the addition of surface diffusion relaxation to the model results in alpha congruent to 1.0 and beta congruent to 0.25, for the early stages of the process, and in an unstable surface with alpha congruent to 1.0 and beta > 0.5 for the advanced ones. The progressive hindrance of the interlayer mass transport results in a value of beta which increases from 0.25 to 0.45, whereas the value of alpha remains unchanged. Nonlocal effects stabilizing cavities also result in an unstable surface with beta > 1. Results from these models are compared to those obtained from real time STM imaging data on silver and copper electrodissolution in aqueous perchloric acid solution at 298 K.