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The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. What is the perimeter of the base?

User Taksofan
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2 Answers

0 votes
Prism Volume = Area of Base • Height

Area of Base = Prism Volume / Height
Area of Base = 840 / 14
Area of Base = 60
pentagon area = 5 * side^2 / 4 * tan (180 / 5)
side^2 = [pentagon area * 4 * tan (180 / 5)] / 5
side^2 = [60 * 4 * tan (36)] / 5

side^2 =240 * 0.72654 / 5

side^2 = 174.3696 / 5
side^2 = 34.87392

side = 5.9054144647
Pentagon Perimeter = 5.9054144647* 5
Pentagon Perimeter = 29.5270723235




User John Haugeland
by
5.3k points
1 vote

Answer:

30

Explanation:

User Jacek Grzelaczyk
by
6.3k points