Solution:
Given that,
Hexagonal-based prism with a height of 12 in. and a base area of 62 square inches
The volume of prism is given as:
[tex]volume\ of\ prism = base\ area \times height\\\\volume\ of\ prism = 62 \times 12\\\\volume\ of\ prism = 744[/tex]
Thus volume of a hexagonal-based prism is 744 cubic inches
Would the volume be different if the base were a pentagon with an area of 62 in² ?
No the volume will not be different
The shape of base does not matter, as long as the base area is same
Thus, volume of hexagonal-based prism and pentagon prism with area 62 inches is 744 cubic inches
