Question

6 cm

6 cm
12 cm
8 cm
What is the lateral surface area of this triangular prism in square centimeters?

Using complete sentences EXPLAIN the steps to solve for lateral surface area of the
triangular prism.

Answer 1

`\begin{equation*} 240cm^2 \end{equation*}`

1) We can start out by defining the Lateral Surface Area as the area of the surface excluding the top and the base of it.

2) Note that this prism is "laid down" so we can tell the base and the top are two triangles. So, the surface area is made of 3 rectangles. Let's find the area of that lateral surface:

`\begin{gathered} 1\:rectangle\:12*8\Rightarrow A=96cm² \\ 2\:rectangles\:12*6\Rightarrow A=2(72)=144\:cm² \\ LSA=240cm^2 \end{gathered}`