Calculate the volume of a regular triangular prism, the base side of which is 14 cm, and the height is 6 cm.

The volume of the prism can be calculated using the formula:

V = S * h, where S is the area of the base of the prism, h is the height of the prism (h = 6 cm).

An equilateral triangle lies at the base of a regular triangular prism:

S = a ^ 2 * √3 / 4, where a is the length of the side of the base of the prism (the length of the side of the triangle, a = 14 cm).

Let’s calculate the volume of a regular triangular prism:

V = S * h = (a ^ 2 * √3 / 4) * 6 = (14 ^ 2 * √3 / 4) * 6 ≈ 509 cm3.

Answer: The volume of a regular triangular prism is 509 cm3.