ABCА1В1С1 – correct prism, АС = 6 BB1 = 7√3 find the volume of the prism.

univerkov | July 24, 2021 | education

Since the prism is correct, it is based on regular triangles ACB and A1B1C1.

In an equilateral triangle ABC, all the angles of the triangle are 60, and the lengths of the sides are 6 cm.Then Saavs = Sa1v1s1 = AC * BC * Sin60 / 2 = 6 * 6 * √3 / 4 = 9 * √3 cm2.

Then the volume of the prism will be equal to: Vpr = Savs * АА1 = 9 * √3 * 7 * √3 = 189 cm3.

Answer: The volume of the prism is 189 cm3.

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