Prism
Total surface area of the pentagonal prism is 648 square inches
Explanation:
In geometry, a pentagon is defined as a five-sided polygon. In a simple pentagon the sum of the internal angles is 540°.
The pentagon base area = 124 square inches
In a pentagonal prism there are two such surfaces (top & bottom)
Hence the area of two pentagons = 124 × 2 = 248 square inches
The lateral area (area of the sides) is made up of 5 equal-sized rectangles
Area of one such rectangle is 80 square inches
Area of five such rectangle is 80 × 5 = 400 square inches
Total surface area of the pentagonal prism = 248 + 400 = 648 square inches
Hence, Total surface area of the pentagonal prism is 648 square inches