The volume of the prism is equal to 450 square inches.
We need to first find the area of the pentagon side, which will help us to calculate for the volume of the prism.
A polygon with five sides will have its area calculated as follows:
apothem = 2.5 in
perimeter = 5 × 6 in = 30 in.
Area of the pentagon face = (1/2 × 2.5 × 30) in²
Area of the pentagon = 37.5 in²
The volume of the prism = base area × height
volume of the prism = 37.5 in² × 12 in
volume of the prism = 450 in².
Therefore, the volume of the prism is derived to be 450 square inches.