1. What is Tetrakis Hexahedron?

The Tetrakis Hexahedron is a Catalan solid that is the dual of the truncated octahedron. It has 24 faces, 36 edges, and 14 vertices. Each face is an isosceles triangle.

2. How Does the Calculator Work?

The calculator uses the Tetrakis Hexahedron volume formula:

Where:

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

Explanation: The formula calculates the volume of a Tetrakis Hexahedron based on the length of its pyramidal edges.

3. Importance of Volume Calculation

Details: Calculating the volume of geometric solids is fundamental in mathematics, engineering, architecture, and various scientific applications where spatial measurements are required.

4. Using the Calculator

Tips: Enter the pyramidal edge length in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is a Tetrakis Hexahedron?
A: A Tetrakis Hexahedron is a Catalan solid with 24 triangular faces, formed by attaching square pyramids to each face of a cube.

Q2: How many edges does a Tetrakis Hexahedron have?
A: A Tetrakis Hexahedron has 36 edges in total.

Q3: What are the practical applications of this calculation?
A: This calculation is used in crystallography, architecture, 3D modeling, and any field requiring precise volume measurements of complex polyhedra.

Q4: Can this formula be used for any Tetrakis Hexahedron?
A: Yes, this formula applies to all regular Tetrakis Hexahedra where the pyramidal edges are of equal length.

Q5: What units should I use for the input?
A: The calculator uses meters as the default unit, but any consistent unit of length can be used as long as the volume will be in the corresponding cubic units.