For about last quarter century, laser cutting applications have seen a surge of applications in various applications like microchannel engraving. As a research, it has become very important to understand the relationship between the various process parameters of laser cutting like beam power and scanning velocity with the dimensions of cutting depth and width. Lot of research has been done in this direction but a fully satisfying theory has not been developed yet due to the complex physics behind the phenomena of laser ablation. We have evaluated the depth for various values of power/speed for various pre-set widths and to fit linear regression curves for the data. The results indicate that higher cutting depth can be obtained at higher power/cutting speed ratio. However, the percentage error for width was found to be quite high while the results for depth calculation were comparatively better.