Volume of a Hexagonal Prism
Volume of a Hexagonal Prism
\[V = \frac{3\sqrt{3}}{2} a^2 h\]
Variables
V = volume of hexagonal prism (m^3)
a = side length of regular hexagon (m)
h = length of prism (m)
A_base = area of hexagonal base (m^2)
Description
What is this formula?
This formula calculates the volume of a regular hexagonal prism using the area of a regular hexagon multiplied by its length.
When to use it
It is used when a solid has a hexagonal cross-section extended uniformly along a length.
Example
If a = 2 m and h = 10 m:
V = (3√3/2)*2²*10
V = (3√3/2)*4*10
V = 60√3 m³
Applications
- Engineering structures
- Mechanical parts design
- Architecture
- Material volume estimation
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