Answer:
128 centimeters squared.
Explanation:
The lateral surface area of any prism is the area of all its cross-sectional faces.
In the given triangular prism, the cross-section is the triangle. Thus, we exclude the triangular faces from the calculation.
The other three faces are rectangles with dimensions:
• 8cm by 6cm
,
• 8cm by 5cm
,
• 8cm by 5cm
Add up the areas:
[tex]\begin{gathered} LSA=8\times6+8\times5+8\times5 \\ =48+40+40 \\ =128\;cm^2 \end{gathered}[/tex]
The lateral surface area is 128 centimeters squared.
