1. What is Cubical Edge Length of Tetrakis Hexahedron?

The cubical edge length of a Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of the cube of the Tetrakis Hexahedron. It's a fundamental measurement in understanding the geometry of this polyhedron.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_{cube} \) — Cubical edge length (meters)
• \( r_i \) — Insphere radius (meters)
• \( \sqrt{5} \) — Square root of 5 (approximately 2.23607)

Explanation: This formula establishes the mathematical relationship between the insphere radius and the cubical edge length in a Tetrakis Hexahedron.

3. Importance of Cubical Edge Length Calculation

Details: Calculating the cubical edge length is essential for geometric modeling, architectural design, and understanding the spatial properties of Tetrakis Hexahedron structures.

4. Using the Calculator

Tips: Enter the insphere radius in meters. The value must be positive and valid. The calculator will compute the corresponding cubical edge length.

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 is the insphere radius?
A: The insphere radius is the radius of the largest sphere that can fit inside the Tetrakis Hexahedron, touching all its faces.

Q3: Are there other ways to calculate cubical edge length?
A: Yes, the cubical edge length can also be calculated from other parameters like total surface area or volume, but this calculator specifically uses the insphere radius.

Q4: What are typical values for cubical edge length?
A: The cubical edge length varies depending on the size of the Tetrakis Hexahedron. It's proportional to the insphere radius with a factor of approximately 1.4907.

Q5: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert your measurements to meters before calculation.