A regular hexagonal prism has a height of 12 cm and base edge length of 10 cm. Identify its lateral area and surface area.L = 620 cm2 ; S = 942.6 cm2L = 720 cm2 ; S = 1239.6 cm2L = 720 cm2 ; S = 1759.2 cm2
Accepted Solution
A:
Answer: L = 720 cm² ; S = 1239.6 cm²Step-by-step explanation:The area of a hexagon is given by the formula ... A = (3/2)√3·s²where s is the side length. Then the area of the two hexagonal bases will be ... base area = 3√3·(10 cm)² ≈ 519.6 cm²__The lateral area is the product of the perimeter of the base and the height of the prism: L = 6×(10 cm)×(12 cm) L = 720 cm²The totals surface area is the sum of lateral area and base area: S = L + base area = (720 +519.6) cm² S = 1239.6 cm²