Answer:
105 cm^2 
Explanation:
perimeter of the pentagon = 3 x 5 = 15 cm 
lateral area of the prism = perimeter x height = 15 x 6 = 90 cm^2 
lateral area of the pyramid = (slant height x perimeter)/2 = (2x15)/2 = 15 cm^2 
total lateral area = 90 + 15 = 105 cm^2