Final answer:
To find the surface area of a prism, calculate the area of all faces and add them together. Formulas for surface area vary depending on the shape of the prism's bases, such as rectangles or triangles, while spheres and cylinders have their specific formulas.
Step-by-step explanation:
The question involves finding the surface area of a prism, a common problem in high school mathematics, specifically geometry. To calculate the surface area, we need to know the shapes of the sides or faces of the prism and their dimensions. This particular prism is not described in the question, so we'll cover the general approach. For any prism, we find the area of each side and add them together. If the prism has a regular geometric base like a rectangle, triangle, or other polygons, the surface area can be calculated by a specific formula depending on the shape.
For example, if we have a rectangular prism, the surface area is found by calculating the area of all six faces (2lw + 2lh + 2wh, where l is length, w is width, and h is height). If the base is a triangle, we calculate the area of the three side faces and add twice the base area (since there are two bases). Cubes and cylinders have their own formulas as well. The formula for the surface area of a sphere is 4(pi)(r)² and the formula for the volume of a sphere is 4/3(pi)(r)³.