The height of a regular hexagonal pyramid is 6, and the edge of the base is 12. The area of its lateral surface is.

To solve this problem, we find the area of ​​its lateral surface. To do this, consider a hexagonal pyramid. Since the pyramid is correct, according to the condition of the problem, then all six sides of the base of the pyramid will be equal, and since we know one side, then they are all equal. We also know that in a hexagonal pyramid, the lower and upper bases are equal, which means we know these values. And we also know the height of the pyramid. To find the side area, find the area of ​​one rectangle and multiply by 6.
S = a * b, where a is the base, b is the height, S is the area of ​​the rectangle.
S = 12 * 6 = 72 cm2;
Lateral surface area;
S1 = S * 6, where S1 – lateral surface area, S – rectangle area.
S1 = 72 * 6 = 432 cm2, lateral surface area.