A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represents the volume of the prism, in cubic centimeters?

The expression representing the volume of the prism is given as:

Volume=[base area]*[height]

base area is the area of the pentagon;

The area of pentagon is given by:

Area of pentagon=a^2ntan (180/n)

a=apothem length

n=number of sides

Area=2.8^2*5tan (180/5)

Area=28.48=28.5 cm^2

Therefore the expression for the volume of the prism with height, h, will be:

volume=28.5h cm^3