Home
Back
Formula Used:
| From: | To: |
The Surface to Volume Ratio (SA:V) of a Deltoidal Icositetrahedron represents the relationship between the total surface area and the total volume of this specific polyhedron. It is a crucial geometric property that indicates how much surface area is available per unit volume.
The calculator uses the formula:
Where:
Explanation: This formula calculates the surface to volume ratio by taking the constant geometric relationship specific to the deltoidal icositetrahedron and scaling it by the inverse of the long edge length.
Details: The surface to volume ratio is important in various applications including material science, chemistry, and physics. For polyhedra, it helps understand properties like heat transfer, diffusion rates, and structural efficiency.
Tips: Enter the length of the long edge 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 Icositetrahedron?
A: A Deltoidal Icositetrahedron is a Catalan solid with 24 deltoidal (kite-shaped) faces. It is the dual polyhedron of the rhombicuboctahedron.
Q2: Why is the surface to volume ratio important?
A: The SA:V ratio affects many physical and chemical properties. Higher ratios mean more surface area relative to volume, which can influence reaction rates, heat dissipation, and other surface-dependent phenomena.
Q3: What units are used for the calculation?
A: The long edge should be input in meters (m), and the resulting SA:V ratio will be in inverse meters (m⁻¹).
Q4: Can this calculator be used for other polyhedra?
A: No, this calculator is specifically designed for the deltoidal icositetrahedron. Other polyhedra have different formulas for their surface to volume ratios.
Q5: How accurate is the calculation?
A: The calculation is mathematically exact based on the geometric properties of the deltoidal icositetrahedron. The precision depends on the accuracy of the input value.