To find the surface area of a regular hexagonal pyramid, we need to calculate the area of the base hexagon, as well as the lateral surface area.
The area of a regular hexagon can be found using the formula: Area = 3√3/2 * s^2, where s is the length of one side of the hexagon.
Area of base hexagon = 3√3/2 * 6^2 = 93√3 sq. in.
Next, we calculate the lateral surface area which can be found using the formula: (Perimeter of base * slant height)/2
Perimeter of base = 6 * 6 in. = 36 in.
Lateral surface area = (36 * 15)/2 = 270 sq. in.
Therefore, the total surface area of the regular hexagonal pyramid is:
93√3 + 270 = 93√3 + 270 = 445 sq. in.
Rounded to the nearest whole number, the surface area of the regular hexagonal pyramid is 445 sq. in.
Find the surface area of the regular hexagonal pyramid to the nearest whole number.
There are 6 sides. The slant height is 15 in. The radius is 3 square root 3 in. The bottom of each side is 6 in.
1 answer
1 answer