The Volume of this prism is 148.35 cu.units, Option D is the right answer.
What is Volume ?
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
[tex]\rm A = \dfrac{1}{4} \sqrt{5(5+2\sqrt{5})} a^2[/tex]
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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