Determine the total volume of a hexagonal prism, if its side length is 5 cm with a lateral area of ​​300√3 cm2 and the area of ​​the base is 75√3 cm2.

To find the total volume of a hexagonal prism, we can use the formula: Total volume = Lateral area + Area of base * 2 Where: Lateral area is the area of the sides of the prism. Base area is the area of one of the prism's bases. We are given that the lateral area of the prism is 300√3 cm2 and the area of one of the prism's bases is 75√3 cm2. Substituting these values into the formula, we get: Total volume = 300√3 cm2 + 75√3 cm2 * 2 = 450√3 cm2 Therefore, the total volume of the hexagonal prism is 450√3 cm2 0r 779.4229 cm3