Question

The LATERAL Surface Area for the shape below is ____________.

Answer 1

Answer:

Part 1) The lateral area is $LA=162\ cm^2$

Part 2) The surface area is $SA=193.2\ cm^2$

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

$LA=3[(6)(9)]=162\ cm^2$

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

$SA=162+2[\frac{1}{2}(6)(5.2)]$

$SA=162+31.2=193.2\ cm^2$