A candy box shape is a regular six-sided prism. The base side length of the prism is 6 cm and 5 cm high as shown in the figure below:
Calculate the area of the base of the prism and the size of the marked angle in the figure.
Calculate the surface area of the prism.
If the total volume of candies in the box is approximately , calculate the proportion of the volume occupied by the candies in the box.