Surface Area of a Hexagonal Prism
Surface Area of a Hexagonal Prism
\[SA = 3\sqrt{3}s^2 + 6sL\]
Variables
SA = surface area of hexagonal prism (m^2)
A_base = area of hexagonal base (m^2)
P = perimeter of hexagonal base (m)
s = side length of regular hexagon (m)
L = length 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
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