1. What is Pyramidal Edge Length of Tetrakis Hexahedron?

The Pyramidal Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron. It is an important geometric measurement in this polyhedral structure.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_e(Pyramid) \) — Pyramidal Edge Length of Tetrakis Hexahedron (m)
• \( V \) — Volume of Tetrakis Hexahedron (m³)

Explanation: The formula calculates the pyramidal edge length based on the volume of the Tetrakis Hexahedron, using a cubic root relationship.

3. Importance of Pyramidal Edge Length Calculation

Details: Calculating the pyramidal edge length is crucial for understanding the geometric properties of the Tetrakis Hexahedron, its structural integrity, and for applications in crystallography, architecture, and mathematical modeling.

4. Using the Calculator

Tips: Enter the volume of the Tetrakis Hexahedron in cubic meters. The value must be positive and valid. The calculator will compute the corresponding pyramidal edge length.

5. Frequently Asked Questions (FAQ)

Q1: What is a Tetrakis Hexahedron?
A: A Tetrakis Hexahedron is a Catalan solid that is the dual of the truncated octahedron. It has 24 isosceles triangular faces.

Q2: How is volume related to pyramidal edge length?
A: The volume and pyramidal edge length have a cubic relationship, meaning the edge length is proportional to the cube root of the volume.

Q3: What units should I use?
A: Use consistent units (typically meters for length and cubic meters for volume) to ensure accurate results.

Q4: Can this calculator handle different units?
A: The calculator expects volume in cubic meters. Convert other units to cubic meters before calculation.

Q5: What if I get an error?
A: Ensure the volume value is positive and numeric. Negative or zero values are not valid for this calculation.