Answer :
The calculated height of the pentagonal prism is 7 units
How to determine the height of the pentagonal prism
From the question, we have the following parameters that can be used in our computation:
Volume = 273.7 cubic units
Base area = 39.1 square units
The volume of a pentagonal prism is given by the formula:
Volume = Base area * Height
So, we have
Height = Volume/Base area
Substitute the known values into the equation
Height = 273.7/39.1
Evaluate
Height = 7
Hence, the height of the pentagonal prism is 7 units
