The total surface area of a regular hexagonal base prism can be found by calculating the area of the six faces that make up the lateral surface area, and then adding the areas of the two bases.

The lateral surface area of the prism can be calculated by finding the area of one of the triangular faces and multiplying it by 6.

To find the area of one triangular face, we can divide the hexagon into six equilateral triangles. The area of an equilateral triangle can be found using the formula:

Area = (sqrt(3)/4) * (side length)^2

In this case, the side length of the triangle is 16 cm. Plugging in the values, we have:

Area = (sqrt(3)/4) * (16 cm)^2
Area = (sqrt(3)/4) * 256 cm^2
Area = 110.851 cm^2 (rounded to three decimal places)

Multiplying this area by 6, we find that the lateral surface area of the prism is:

Lateral surface area = 6 * 110.851 cm^2
Lateral surface area = 665.106 cm^2 (rounded to three decimal places)

The area of one base of the prism can be found by calculating the area of a regular hexagon. The formula for the area of a regular hexagon is:

Area = (3 * sqrt(3)/2) * (side length)^2

In this case, the side length of the hexagon is 16 cm. Plugging in the values, we have:

Area = (3 * sqrt(3)/2) * (16 cm)^2
Area = (3 * sqrt(3)/2) * 256 cm^2
Area = 663.685 cm^2 (rounded to three decimal places)

Since there are two bases, the total area of the bases is:

Total base area = 2 * 663.685 cm^2
Total base area = 1327.370 cm^2 (rounded to three decimal places)

Finally, to find the total surface area of the prism, we add the lateral surface area to the total base area:

Total surface area = Lateral surface area + Total base area
Total surface area = 665.106 cm^2 + 1327.370 cm^2
Total surface area = 1992.476 cm^2 (rounded to three decimal places)

Therefore, the total surface area of the regular hexagonal base prism is approximately 1992.476 cm^2.