Answer:
Part 1) The lateral area is [tex]LA=162\ cm^2[/tex]
Part 2) The surface area is [tex]SA=193.2\ cm^2[/tex]
Step-by-step explanation:
Part 1) Find the lateral area
we know that
The lateral area of a triangular prism is equal to the area of its three rectangular faces
so
[tex]LA=3[(6)(9)]=162\ cm^2[/tex]
Part 2) Find the surface area
The surface area of the triangular prism is equal to the lateral area plus the area of the two triangular bases
so
[tex]SA=162+2[\frac{1}{2}(6)(5.2)][/tex]
[tex]SA=162+31.2=193.2\ cm^2[/tex]
