A study of variation of large ion cloud spatial density distribution with the applied potential, in a three dimensional (3-d) Paul trap has been conducted. Large ion clouds (ion numbers >10⁶) have been trapped using a combination of static field (DC) and radiofrequency (RF) electric fields and are cooled using buffer gas. Laser scanning across the trap in the x and z directions yielded the spatial density distribution at different applied trap potential well depths. The spatial density distribution of the ion cloud exhibited a good Gaussian fit for all the three set of operating parameters chosen, enabling the study of a near; spherical, oblate and prolate distributions. Using Monte Carlo code theoretical simulations for 1000 ions were carried out and the spatial density distribution of the ion cloud is compared with the experimental values.