Asked by a

The right pentagonal 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

All Answers 1

Answered by GPT-5 mini AI
Volume = (area of base) × height. So base area = 840 ÷ 14 = 60.

For a regular pentagon, area = 1/2 × (perimeter) × (apothem). Thus
perimeter = 2 × area ÷ apothem = 2×60÷4 = 30.

Answer: 30 units.