1. **State the problem:** We have a prism with two regular hexagonal faces, each with an area of 23 cm². The height (length) of the prism is 8 cm, and the edge length of the hexagonal base is 3 cm. We need to find the total surface area of the prism. 2. **Recall the formula for surface area of a prism:** The surface area $S$ of a prism is given by: $$S = 2 \times \text{Base Area} + \text{Lateral Surface Area}$$ 3. **Calculate the lateral surface area:** The lateral surface area is the perimeter of the base times the height: $$\text{Lateral Surface Area} = P \times h$$ where $P$ is the perimeter of the base and $h$ is the height. 4. **Find the perimeter of the hexagonal base:** A regular hexagon has 6 equal sides, so: $$P = 6 \times \text{edge length} = 6 \times 3 = 18 \text{ cm}$$ 5. **Calculate the lateral surface area:** $$18 \text{ cm} \times 8 \text{ cm} = 144 \text{ cm}^2$$ 6. **Calculate the total surface area:** $$S = 2 \times 23 + 144 = 46 + 144 = 190 \text{ cm}^2$$ 7. **Answer:** The surface area of the prism is **190 cm²**.