In a regular triangular prism 10cm high, the side of the base is 5cm, find the volume.

univerkov | April 9, 2021 | education

Since the prism is regular, its bases are equilateral triangles with an edge of 5 cm.

Determine the area of the base of the prism.

Sbn = AB ^ 2 * √3 / 4 = 25 * √3 / 4 cm2.

Then the volume of the prism is: V = Sbasn * АА1 = 10 * 25 * √3 / 4 = 250 * √3 / 4 = 125 * √3 / 2cm3.

Answer: The volume of the prism is 125 * √3 / 2 cm3.

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