1. What is Insphere Radius of Tetrakis Hexahedron?

The Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r_i \) — Insphere Radius (m)
• \( R_{A/V} \) — Surface to Volume Ratio (1/m)

Explanation: The insphere radius is inversely proportional to the surface to volume ratio of the Tetrakis Hexahedron.

3. Importance of Insphere Radius Calculation

Details: Calculating the insphere radius is important in geometry and material science for understanding the spatial properties and packing efficiency of the Tetrakis Hexahedron shape.

4. Using the Calculator

Tips: Enter the surface to volume ratio in 1/m. The value must be greater than 0 for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a Tetrakis Hexahedron?
A: A Tetrakis Hexahedron is a Catalan solid that can be seen as a cube with square pyramids on each face.

Q2: What are typical values for surface to volume ratio?
A: The surface to volume ratio depends on the specific dimensions of the Tetrakis Hexahedron and can vary significantly.

Q3: Can this calculator be used for other polyhedra?
A: No, this specific formula applies only to the Tetrakis Hexahedron geometry.

Q4: What units should I use?
A: Use consistent units - meters for length and 1/meters for surface to volume ratio.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for a perfect Tetrakis Hexahedron shape.