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The Cubical Edge Length of Tetrakis Hexahedron refers to the length of the line connecting any two adjacent vertices of the cube in a Tetrakis Hexahedron. It is a fundamental measurement in understanding the geometry of this polyhedron.
The calculator uses the formula:
Where:
Explanation: This formula calculates the cubical edge length from the total surface area using the mathematical relationship specific to the Tetrakis Hexahedron geometry.
Details: Calculating the cubical edge length is essential for understanding the dimensional properties of Tetrakis Hexahedron, which has applications in crystallography, architecture, and mathematical modeling of polyhedral structures.
Tips: Enter the total surface area in square meters. The value must be a positive number greater than zero for accurate calculation.
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. It has 24 faces, 36 edges, and 14 vertices.
Q2: Why is the formula structured this way?
A: The formula derives from the geometric properties of the Tetrakis Hexahedron, where the total surface area relates to the cubical edge length through specific mathematical constants.
Q3: What units should I use for input?
A: The calculator expects input in square meters (m²) for surface area, and returns results in meters (m) for length.
Q4: Can this calculator handle very large or small values?
A: Yes, the calculator can process a wide range of values as long as they are positive numbers within the computational limits of the system.
Q5: Are there any limitations to this calculation?
A: The calculation assumes a perfect Tetrakis Hexahedron geometry and may not account for real-world imperfections or variations in material properties.