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 Calc
Mathematics
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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.
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

1. User Answers cblue8282
Answer:
SA = 299600 m²
Stepbystep 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