All edges of a straight triangular prism are 2√3 long. Find the surface area of the prism.

Since the prism is straight, and the lengths of all its edges are equal, equilateral triangles lie at its bases, and the side faces are squares.
The area of an equilateral triangle is: Sbasn = a ^ 2 * √3 / 4 = (2 * √3) ^ 2 * √3 / 2 = 3 * √3 cm2.
The area of the lateral surface of the prism is: Sside = Ravs * AA1 = 6 * √3 * 2 * √3 = 36 cm2.
Then Sпов = 2 * Sсн + S side = 2 * 3 * √3 + 36 = 6 * √3 + 36 = 6 * (√3 + 6) cm2.
Answer: The surface area of the prism is 6 * (√3 + 6) cm2.



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