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Volume of Tetrakis Hexahedron Formula:
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The Volume of Tetrakis Hexahedron is the quantity of three-dimensional space enclosed by the entire surface of the Tetrakis Hexahedron. It is a Catalan solid that can be derived from a cube by adding square pyramids on each face.
The calculator uses the formula:
Where:
Explanation: The formula calculates the volume based on the edge length of the underlying cube from which the Tetrakis Hexahedron is constructed.
Details: Calculating the volume of geometric solids is essential in various fields including architecture, engineering, and 3D modeling. It helps in determining material requirements, structural properties, and spatial relationships.
Tips: Enter the cubical edge length in meters. The value must be positive and valid. The calculator will compute the volume using the standard formula.
Q1: What is a Tetrakis Hexahedron?
A: A Tetrakis Hexahedron is a Catalan solid that can be obtained by adding square pyramids to each face of a cube. It has 24 faces, 36 edges, and 14 vertices.
Q2: How is this different from a regular cube?
A: While both are polyhedra, a Tetrakis Hexahedron has triangular faces instead of square faces and has a more complex structure than a simple cube.
Q3: What are the practical applications of this shape?
A: The Tetrakis Hexahedron is used in various fields including crystallography, architecture, and as dice in some tabletop games due to its symmetrical properties.
Q4: Can this formula be used for any size?
A: Yes, the formula scales proportionally with the cube of the edge length, so it works for any size as long as the shape maintains its geometric properties.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact for a perfect Tetrakis Hexahedron. The accuracy in practical applications depends on the precision of the input measurements.