Final answer:
The question seems to require finding the height of a pyramid based on its combined total surface area with a prism. However, specific dimensions and additional information are necessary to solve for the height, which are not provided in the question.
Step-by-step explanation:
To find the height of the pyramid when given the total surface area (TSA) of a combined solid (pyramid and prism), we must consider the TSA of each individual shape. However, the information provided seems to be incomplete as there is no clear methodology or given values that explain how to solve the problem with the data provided in the question. Typically, for a pyramid, its TSA consists of the lateral surface area plus the base area. If the base is a square and we know the side length, the base area is simply the side's length squared. To calculate the lateral surface area, we would need to know the slant height or be able to calculate it using the pyramid's height and the base's half length. Ultimately, to solve for the pyramid's height, more information is necessary, such as the dimensions of both the pyramid and prism, or either the lateral or base area of the pyramid itself.