Question

What is the lateral surface area of the of the following figure? A. 982.36B. 851.76C. 785.34D. 709.8

Answer 1

Given : a triangular prism

The lateral surface area is the sum of the rectangular sides

So, the lateral surface area =

$\begin{gathered} 18.2\cdot13+18.2\cdot13+18.2\cdot20.8 \\ =851.76\operatorname{cm} \end{gathered}$

Another method : Find the perimeter of the triangle then multiply by 18.2

$\begin{gathered} 18.2\cdot(13+13+20.8)_{} \\ =18.2\cdot46.8 \\ =851.76\operatorname{cm} \end{gathered}$

so, the answer is option B. 851.76