\[SA = 3\sqrt{3}s^2 + 6sL\]
Variables
SAsurface area of hexagonal prism (m^2)
A_basearea of hexagonal base (m^2)
Pperimeter of hexagonal base (m)
sside length of regular hexagon (m)
Llength of prism (m)
Description
What is this formula?
This formula calculates the total surface area of a hexagonal prism, including both hexagonal bases and all rectangular lateral faces.
When to use it
It is used when calculating the full external surface of structures with hexagonal cross-sections.
Example
If:
s = 2 m, L = 10 m
P = 6s = 12 m
A_base = (3√3/2)s² = 10.39 m²
SA = 2(10.39) + 12*10
SA = 20.78 + 120 = 140.78 m²
Applications
- Engineering design
- Structural materials estimation
- Packaging design
- Mechanical components