All edges of a straight triangular prism have a length of 2√3. Find the volume of a prism
| August 7, 2021 | education
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.
Then Vpr = Sbn * АА1 = 3 * √3 * 2 * √3 = 18 cm3.
Answer: The volume of the prism is 18 cm3.
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