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The Surface to Volume Ratio (SA:V) of a Deltoidal Hexecontahedron represents the relationship between its total surface area and total volume. It indicates how much surface area is available per unit volume of this particular polyhedron shape.
The calculator uses the mathematical formula:
Where:
Explanation: The formula calculates the surface to volume ratio based on the geometric properties of the deltoidal hexecontahedron, which is a complex polyhedron with 60 deltoidal faces.
Details: The surface to volume ratio is crucial in various scientific and engineering applications, including heat transfer analysis, chemical reaction rates, and material science properties where surface area relative to volume affects performance characteristics.
Tips: Enter the length of the long edge of the deltoidal hexecontahedron in meters. The value must be positive and greater than zero. The calculator will compute the corresponding surface to volume ratio.
Q1: What is a deltoidal hexecontahedron?
A: A deltoidal hexecontahedron is a polyhedron with 60 deltoidal (kite-shaped) faces, 120 edges, and 62 vertices.
Q2: What are typical values for surface to volume ratio?
A: The SA:V ratio depends on the size of the polyhedron. Smaller polyhedra have higher SA:V ratios, while larger ones have lower ratios.
Q3: What units are used in this calculation?
A: The long edge is measured in meters, and the surface to volume ratio is expressed in 1/meter (m⁻¹).
Q4: Are there practical applications for this calculation?
A: Yes, in materials science, nanotechnology, and various engineering fields where the relationship between surface area and volume affects material properties and behavior.
Q5: Can this calculator be used for other polyhedra?
A: No, this specific formula is designed only for the deltoidal hexecontahedron. Other polyhedra have different surface to volume ratio formulas.