A pentagonal prism has a length of 8cm.The area of its pentagonal faces is 43cm2 and the sides of the pentagons are each 5cm.Find its surface area.

To find the surface area of a pentagonal prism, we need to add the area of the two pentagonal faces and the area of the five rectangular sides.

1. The area of the two pentagonal faces is given as 43 cm² each. So, the total area of the two pentagonal faces is 2 * 43 cm² = 86 cm².

2. The area of each rectangular side is found by multiplying the length of the prism by the side length of the pentagon. So, the area of one rectangular side is 8 cm * 5 cm = 40 cm².

3. Since there are five rectangular sides in a pentagonal prism, the total area of the rectangular sides is 5 * 40 cm² = 200 cm².

4. Finally, add the area of the pentagonal faces and the rectangular sides to find the total surface area of the pentagonal prism. So, the total surface area is 86 cm² + 200 cm² = 286 cm².

Therefore, the surface area of the pentagonal prism is 286 cm².