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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

Respuesta :

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.

Answer:

Last option on edge

Step-by-step explanation: