Aregular 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 cm2
l = 720 cm2 ; s = 1239.6 cm2
l = 720 cm2 ; s = 1759.2 cm2

  L = 720 cm² ; S = 1239.6 cm²

Step-by-step explanation:

The area of a hexagon is given by the formula ...

  A = (3/2)√3·s²

where 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

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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 cm²

The totals surface area is the sum of lateral area and base area:

  S = L + base area = (720 +519.6) cm²

  S = 1239.6 cm²

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.