Question

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?

Answer 1

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

Answer 2

Answer:

30

Step-by-step explanation: