In a good 3D engine, objects interactions are similar to those of real-world. Collision is one of the interactions. It includes whether collision took place or not, where collision took placed, and reaction after collision took place. More precise collision detection needs more time. If there exist required precision, detection time can be controlled by choosing appropriate detection model. Therefore, we need a selection mechanism for the collision detection with respect to required precision and detection time. In this paper, a collision detection model with seven different precision levels is examined. And relationship between detection time and precision is analyzed. Consequently, we propose a selection mechanism for collision detection model.