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Cubical Edge Length Of Tetrakis Hexahedron Given Volume Calculator

Formula Used:

\[ l_{e(Cube)} = \left( \frac{2 \times V}{3} \right)^{1/3} \]

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1. What is Cubical Edge Length of Tetrakis Hexahedron?

The Cubical Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron. It is a fundamental geometric measurement in this polyhedral structure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_{e(Cube)} = \left( \frac{2 \times V}{3} \right)^{1/3} \]

Where:

Explanation: This formula derives the cubical edge length from the volume of the Tetrakis Hexahedron using the cubic root relationship.

3. Importance of Cubical Edge Length Calculation

Details: Calculating the cubical edge length is essential for geometric analysis, structural design, and understanding the spatial properties of the Tetrakis Hexahedron in various applications.

4. Using the Calculator

Tips: Enter the volume of the Tetrakis Hexahedron in cubic meters. The value must be positive and greater than zero for accurate 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 units should be used for volume input?
A: The calculator expects volume input in cubic meters (m³) for consistent results.

Q3: Can this calculator handle decimal values?
A: Yes, the calculator accepts decimal values for volume input with up to 4 decimal places precision.

Q4: What is the typical range of values for cubical edge length?
A: The cubical edge length can vary significantly depending on the volume, but it follows a cubic root relationship with the volume.

Q5: Are there any limitations to this calculation?
A: The formula assumes a perfect Tetrakis Hexahedron shape and may not account for irregularities or deformations in real-world objects.

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