To find the lateral surface area of a hexagonal prism, you will need to follow a straightforward process. A hexagonal prism has two hexagonal bases and six rectangular faces that connect the corresponding sides of the bases.
The formula for the lateral surface area (LSA) of a prism is:
LSA = Perimeter of the base × Height of the prism
For a hexagonal prism:
- First, calculate the perimeter of the hexagonal base. For a regular hexagon, the perimeter can be calculated as:
- Next, determine the height of the prism, which is the distance between the two hexagonal bases.
- Finally, substitute the perimeter and height into the LSA formula:
Perimeter = 6 × Side Length
LSA = (6 × Side Length) × Height
By plugging in your values for the side length and height, you can calculate the lateral surface area of the hexagonal prism with ease!