Calculate the volume of a prism, 14 cm high, and at its base lies a regular hexagon with a side of 4 cm.

The volume of the prism is defined as the product of the base area by the height: V = h * Sbase.
The area of a regular hexagon is determined by the formula: S = (3√3 * a ^ 2) / 2, where a is the side of a regular hexagon.
V = h * (3√3 * a ^ 2) / 2 = 14 * (3√3 * 4 ^ 2) / 2 = 14 * 3√3 * 16/2 = 336√3≈581.97 cm2.