The Volume of this prism is 148.35 cu.units, Option D is the right answer.
<h3>What is Volume ?</h3>The space occupied by a three dimensional object is called Volume.
Area of the base of the prism is the area of the pentagon
Area of the pentagon is given by
The area is given as 43.06 sq. units
On solving the side of pentagon is 5 units
The volume of the pentagonal prism is given by
V = (5/2)abh
where a is the length of apothem , b is the base length and h is the height
V = (5/2) * 3.44 * 5* 3.45
V = 148.35 cu.units
Therefore the Volume of this prism is 148.35 cu.units , Option D is the right answer.
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