## The right pengtagonal prism has a height of of 14 units. A pentagonal prism has a perpendicular distance of 14 units between the

Question

The right pengtagonal prism has a height of of 14 units.

A pentagonal prism has a perpendicular distance of 14 units between the bases. An apothem has a length of 4 units.

The volume of the prism is 840 cubic units. What is the perimeter of the base?

12 units

15 units

21 units

30 units

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Math
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2021-09-11T03:10:44+00:00
2021-09-11T03:10:44+00:00 2 Answers
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## Answers ( )

Answer:Last option on edge

Step-by-step explanation:Answer:30 units

Step-by-step explanation:The volume is given by …

V = Bh

Filling in the given numbers, we can find the area of the base (B) to be …

840 = B(14)

840/14 = B = 60

The area of the base is given by the formula …

B = (1/2)Pa

where P is the perimeter and a is the apothem. Filling in the numbers we know, we have …

60 = (1/2)P(4)

30 = P . . . . . . divide by 2

The perimeter of the base is 30 units.