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Volume Of Rhombic Dodecahedron Formula:
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The Volume Of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron. It is a polyhedron with 12 congruent rhombic faces, 14 vertices, and 24 edges.
The calculator uses the formula:
Where:
Explanation: The formula calculates the volume based on the edge length of the rhombic dodecahedron, using the mathematical constant √3.
Details: Calculating the volume of geometric shapes is fundamental in mathematics, engineering, architecture, and various scientific fields. For the rhombic dodecahedron, this is particularly important in crystallography and materials science where this shape occurs naturally.
Tips: Enter the edge length in meters. The value must be positive (edge length > 0). The calculator will compute the volume using the standard formula for a rhombic dodecahedron.
Q1: What is a rhombic dodecahedron?
A: A rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It is the dual polyhedron of the cuboctahedron.
Q2: Where is this shape found in nature?
A: The rhombic dodecahedron occurs naturally in some crystal structures and is also found in certain mineral formations.
Q3: What are the practical applications of this calculation?
A: This calculation is used in materials science, crystallography, architecture, and in the design of certain types of containers or structures.
Q4: Can this formula be used for any polyhedron?
A: No, this specific formula applies only to the rhombic dodecahedron. Different polyhedra have different volume formulas.
Q5: How accurate is the calculation?
A: The calculation is mathematically exact based on the input edge length, using the precise formula for rhombic dodecahedron volume.