Final answer:
To find the surface area of a regular hexagonal pyramid, calculate the area of the hexagonal base and the areas of the six triangular faces. Use the formulas for the area of a hexagon and the area of a triangle, and then add everything together.
Step-by-step explanation:
To find the surface area of a regular hexagonal pyramid, we need to calculate the area of the hexagonal base and the areas of the six triangular faces.
The area of a regular hexagon can be found using the formula Area = (3√3/2) x side length^2. In this case, the side length of the hexagon is 6 cm, so we can plug it in and calculate the base area.
Next, we need to find the area of each triangular face. The formula for the area of a triangle is Area = 1/2 x base x height. In this case, the base length is 6 cm and the height is equal to the slant height, which is also 6 cm. Plug the values into the formula and calculate the area of one triangle.
The total surface area of the pyramid is the sum of the base area and the areas of the six triangular faces. Add them all together to get the final answer.