Answer:
630 square meters.
Step-by-step explanation:
Given:
A triangular prism has an equilateral triangle base whose sides are 6 meters. The height of the prism is 35 meters, and the height of the base is 5.2 meters.
Question asked:
What is the lateral surface area of the prism?
Solution:
As we know:
[tex]Lateral\ surface\ area\ of\ the\ prism=Perimeter\ of\ the\ base\times height\ of\ the\ prism[/tex]
Perimeter of the equilateral triangle base = 6 + 6 + 6 = 18 meters
The height of the prism = 35 meters
Lateral surface area of the prism = 18 [tex]\times[/tex] 35 = 630 square meters.
Thus, lateral surface area of the prism is 630 square meters.
