1. What is Surface to Volume Ratio of Rhombicosidodecahedron?

The Surface to Volume Ratio of a Rhombicosidodecahedron is a geometric measurement that compares the total surface area of this polyhedron to its volume. It's an important parameter in materials science and engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Edge Length — Length of any edge of the Rhombicosidodecahedron (in meters)
• √ — Square root function

Explanation: This formula calculates the ratio of surface area to volume for a Rhombicosidodecahedron based on its edge length.

3. Importance of Surface to Volume Ratio

Details: The surface to volume ratio is crucial in determining various physical properties including heat transfer efficiency, chemical reactivity, and mechanical strength of materials with this geometric structure.

4. Using the Calculator

Tips: Enter the 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).

5. Frequently Asked Questions (FAQ)

Q1: What is a Rhombicosidodecahedron?
A: A Rhombicosidodecahedron is an Archimedean solid with 20 regular triangular faces, 30 square faces, and 12 regular pentagonal faces.

Q2: Why is surface to volume ratio important?
A: It indicates how much surface area is available per unit volume, which affects properties like heat dissipation, chemical reactivity, and structural efficiency.

Q3: What units are used for the calculation?
A: Edge length is in meters (m) and the resulting ratio is in reciprocal meters (m⁻¹).

Q4: Can this calculator handle very small or large values?
A: Yes, as long as the edge length is a positive number greater than zero, the calculator can handle a wide range of values.

Q5: How accurate is the calculation?
A: The calculation uses precise mathematical constants and functions, providing results accurate to six decimal places.