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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Arya 1 week 2021-09-11T03:10:44+00:00 2 Answers 0

Answers ( )

    0
    2021-09-11T03:12:12+00:00

    Answer:

    Last option on edge

    Step-by-step explanation:

    0
    2021-09-11T03:12:24+00:00

    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.

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