Home
Back
Formula Used:
| From: | To: |
The surface to volume ratio of a truncated icosahedron is a geometric property that represents the relationship between the total surface area and the volume of this polyhedron. It is an important parameter in materials science, chemistry, and physics.
The calculator uses the formula:
Where:
Explanation: This formula calculates the ratio of surface area to volume for a truncated icosahedron based on its icosahedral edge length.
Details: The surface to volume ratio is crucial in various scientific fields. Higher ratios indicate more surface area relative to volume, which is important in catalysis, heat transfer, and biological systems where surface interactions dominate.
Tips: Enter the icosahedral edge length in meters. The value must be positive and greater than zero. The calculator will compute the surface to volume ratio in reciprocal meters (m⁻¹).
Q1: What is a truncated icosahedron?
A: A truncated icosahedron is an Archimedean solid with 32 faces (12 regular pentagons and 20 regular hexagons), 90 edges, and 60 vertices.
Q2: Why is surface to volume ratio important?
A: It indicates how much surface area is available per unit volume, which affects properties like reactivity, heat dissipation, and mass transfer rates.
Q3: What are typical values for this ratio?
A: The ratio depends on the edge length. For standard sizes, it typically ranges from 0.1 to 10 m⁻¹, decreasing as the size increases.
Q4: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert your measurement to meters before input.
Q5: What applications use truncated icosahedrons?
A: They are used in molecular structures (fullerenes), architectural designs, sports balls (soccer balls), and various engineering applications.