The volume of the pentagonal prism to the nearest hundredth is 24.28 cubic inches.
The figure in the image is a pentagonal prism.
The volume of a pentagonal prism is expressed as:
Volume = area of base × height
Volume = 5/2 × a × b × h
Where a is the apothem, b is the base and h is the height.
From the figure:
Apothem a = 0.87 inches
Base b = 2.13 inches
Height h = 5.24 inches
Volume =?
Plug these values into the above formula and solve for the volume:
Volume = 5/2 × a × b × h
Volume = 5/2 × 0.87 × 2.13 × 5.24
Volume = 24.28 cubic inches.
Therefore, the pentagonal prism has a volume of 24.28 cubic inches.