The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. Wha
t is the perimeter of the base? 12 units 15 units 21 units 30 units
1 answer:
Answer:
Option 4. Perimeter = 30 units
Step-by-step explanation:
Since the volume of a pentagonal prism is 840 cubic units.
Perpendicular distance between the bases = 14 units
We know volume of a pentagonal prism = Area of base × distance between the bases
840 = Area × 14
Area = 840/14 = 60 square units
Now area of a pentagon
Therefore perimeter of the pentagon = 5×a = 5×5.91 = 29.54 ≈ 30 units
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