Final answer:
The surface area of the prism can be calculated by adding the areas of all its faces. Each hexagonal face has an area of 23 cm². The lateral faces can be found by multiplying the perimeter of the hexagon with the height of the prism.
Step-by-step explanation:
The surface area of a prism can be calculated by adding the areas of all its faces. In this case, we have two hexagonal faces and the corresponding lateral faces. Each hexagonal face has an area of 23 cm². To calculate the area of the lateral faces, we need to find the perimeter of the hexagon and multiply it by the height of the prism. Let's assume the side length of the hexagon is 'a' and the height of the prism is 'h'.
The perimeter of the hexagon is 6 times the length of one side, so it is 6a. The area of each lateral face is the product of the perimeter and the height, so it is 6ah.
Therefore, the total surface area of the prism is the sum of the areas of the hexagonal faces and the lateral faces, which is 2 × 23 cm² + 6ah cm².