Find the volume of a triangular prism if the side of the base is 4 cm and the height is 6 cm.

1. The prism is correct, so the base is a regular n-gon. This means that the base is an equilateral triangle, that is, all sides of the base are 4 cm;
2. Find the area of the base of the prism through the formula:
S = a ^ 2 * √3 / 4;
S = 4 ^ 2 * √3 / 4 = 4√3 (cm2);
3. Find the volume of this prism by multiplying the height by the area of the base:
V = S * h;
V = 4√3 * 6 = 24√3 (cm3);
Answer: The volume of this regular triangular prism is 24√3 cubic centimeters.