Final answer:
The question about the hexagonal pyramid's surface area cannot be answered without additional measurements. For an approximation of a basketball court's area using fundamental unit understanding and mental math, the approximate area would be 4,700 square feet, based on standard court dimensions.
Step-by-step explanation:
To find the surface area of a regular hexagonal pyramid, we need to calculate the area of the base and the six triangular faces and sum them up. The base is a regular hexagon, so if we knew the side length, we could find the area using the formula for a hexagon's area. Also, for each triangular face, we would use the formula for a triangle's area: 1/2 × base × height. However, the information provided in the question is insufficient for an exact calculation, as we do not have the side length of the hexagon or the slant height of the pyramid. Without this information or additional context, we cannot determine the answer.
Instead, we can take a look at a different example related to area. To approximate the area of a regulation basketball court using mental math and understanding of fundamental units, start with the approximate measurements for a court, which are 94 feet by 50 feet. Multiplying these dimensions gives us an area of 4,700 square feet, which would be our rough approximation.