The purpose of this study was to evaluate radiation doses during computer tomography (CT) scans of the whole body and organs using a fabricated phantom. The Weighted Computer Tomography Dose Index (CTDIw) was evaluated and measured using a fabricated phantom, and five CT scanners were used for chest examinations from four hospitals in Najran, Saudi Arabia. The heart, lungs, esophagus, and spinal cord doses were measured with clinical whole body CT acquisition protocol using Thermoluminescent Dosimeters (TLDs). The TLDs used for measurements were selected for an accuracy of 5% and calibrated for the X-ray radiation field. The CTDIw and organ doses reported in this study were compared with results of ImPACT software for calculating organ doses. The results show good agreement with the calculations and the literature. The measured specific organ doses ranged between 1.33 mGy (lung marrow) and 1.65 mGy (esophagus). The model is easy to produce and useful for evaluating the organ doses and CTDIw.