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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
2 units
3 units
4 units

Respuesta :

MrRoyal

The perimeter of the base of the right pentagonal prism is 30 units

How to determine the perimeter of the base?

The given parameters are:

  • Volume = 840 cubic units
  • Height, h = 14 units
  • Apothem, a = 4 units

The volume of a right pentagonal prism is:

V = 0.5Pah

Where P represents the perimeter of the base.

So, we have:

0.5 * P * 14 * 4 = 840

Divide both sides by 0.5 * 14 * 4

P = 30

Hence, the perimeter of the base is 30 units

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