The volume of the pentagonal prism is 148.35 cubic units.
A pentagonal prism comprises two pentagonal bases (top and bottom) and five rectangle sides. It is a heptahedron having seven faces, ten vertices, and fifteen edges.
A pentagonal prism with pentagonal bases has five sides. The five-sided polygon prism is another name for a pentagonal prism.
The volume and the surface area of a pentagonal prism represent two key measurements.
The volume of pentagonal prism is calculated by the formula;
Volume of pentagonal prism= (5/2)×a×b×h cubic units
a = The pentagonal prism's apothehem length
b = The pentagonal prism's base length
h = the pentagonal prism's height
Now, according to the question;
The area of the regular pentagonal base of this prism is 43.06 square units.
The height of the prism is 3.45 (see the figure)
Volume = Base Area × Height
Volume = 43.06×3.45
Volume = 148.35 cubic units
Therefore, the volume of the pentagonal prism is 148.35 cubic units.
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