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
