Answer:
Total surface area = 340 cm²
Step-by-step explanation:
Surface area of the given prism = Area of two bases + Area of its lateral surfaces
Area of pentagonal base = [tex]\frac{1}{2}(\text{Apothem)}(\text{Perimeter})[/tex]
= [tex]\frac{1}{2}(3.6)(5\times 5)[/tex]
= 45 cm²
Area of the lateral sides of the prism = Perimeter of the pentagonal base × height
= (5×5)×10
= 250 cm²
Total surface area of the prism = 2(45) + 250
= 90 + 250
= 340 cm²
