An apparatus with graphics processing includes: a memory configured to store therein acceleration structure data and primitive data for performing three-dimensional (3D) rendering; and a first processor implemented in the memory and configured to receive ray information, determine a first spatial box by performing a traversal on an acceleration structure in which scene objects are spatially partitioned based on the acceleration structure data and the ray information, and determine a first intersection point for performing the 3D rendering based on the primitive data, the ray information, and the first spatial box.