One of the most challenging issues in computer graphics is generation of images reflected on a transparent object. The image is generated by light reflection on the surface and also by light refraction through the object. In order to generate the image, ray tracing is the most powerful method. Ray-tracing takes huge amount of time to trace the ray that has been emitted from a light source and reaches the eye through each pixel that constructs the image. Currently, it can generate the image very fast by using parallel processing based on multi-core in GPU (Graphics Processing Unit). Ray tracing searches the ray trace by dividing the ray into two phenomena: reflection and refraction. It generates the image with a recursive process so that the image is generated with a simple algorithm. However, the image generated on a glass by reflection and refraction is so complex that we cannot tell which part of the image is generated by reflection on or refraction through which surface. Therefore, we propose an analytical method to draw the image generated on a cubed glass by reflection and refraction. The method investigates the ray trace in a parallel glass, and generates the object mirrored by reflection or refraction. In addition, the generated image depends on some factors such as the position of reflective surface and the number of total internal reflection. Then, the proposed method can draw the image separately according to the number of total internal reflection, and generates the final image by combining the pre-rendered each image.