Mathematics

Question

Find surface area of regular pentagon, explain in detail.

Base with a side length of 280 meters and and apothem of 192 meters; height of prism is 22 meters

Calculate surface area as if it were a regular closed pentagonal prism.

1 Answer

  • Answer:

    SA = 299600 m²

    Step-by-step explanation:

    Equation for the surface area of a prism:

    SA = 2 * Area of base + Perimeter of base * height

    1. Perimeter of the base: 280 * 5 = 1400 m

    2. Area of the base: 0.5 * apothem * perimeter -> 0.5 * 192 * 1400 = 134400 m²

    Plug in: SA = 2 * 134400 + 1400 * 22 -> SA = 268800 + 30800 ->

    SA = 299600 m²

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