The right pengtagonal prism has a height of of 14 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

Option D is correct.

Step-by-step explanation:

Height of prism = 14 units

Volume of prism = 840 cubic units

Perimeter of base = ?

Volume of Prism = Base Area * Height

840 = Base Area * 14

=>Base Area = 840/ 14

Base Area = 60 square unit.

Now Area of pentagon:

We need to find a, where Area = 60

The pentagon has 5 sides.

So, perimeter of base = 5*a

perimeter of base = 5* 5.91

perimeter of base = 29.55 ≈ 30 units

So, Option D is correct.