In a regular triangular prism, all edges are equal. The lateral surface area is 75 cm2. Find the length of the edge.

univerkov | March 12, 2021 | education

Since the lengths of all edges of the prism are equal, equal squares serve as its lateral faces.

Then the area of the side face will be equal to: Sss1w1v = Sside / 3 = 75/3 = 25 cm2.

Then CC1 = √Scc1w1v = √25 = 5 cm.

Answer: The length of the edge of the prism is 5 cm.

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