Answer: [tex]LSA=128\ cm^2[/tex]
Step-by-step explanation:
The formula for calcualte the Lateral surface area of a prism is:
[tex]LSA=Ph[/tex]
Where "P" is the perimeter of the base and "h" is the height of the prism.
Notice that the base is a triangle. Since the perimeter is the sum of its sides, you get that this is:
[tex]P=5\ cm+6\ cm+5\ cm\\\\P=16\ cm[/tex]
You can identify in the figure that the height is:
[tex]h=8\ cm[/tex]
Therefore, you can substitute these values into the formula in order to calculate the Lateral surface area of the given prism. This is:
[tex]LSA=(16\ cm)(8\ cm)\\\\LSA=128\ cm^2[/tex]
