Home
Back
Formula Used:
| From: | To: |
The Height of Tetrakis Hexahedron is the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex. It is an important geometric measurement in understanding the three-dimensional properties of this polyhedron.
The calculator uses the formula:
Where:
Explanation: The height of a Tetrakis Hexahedron is exactly twice the length of its pyramidal edge. This relationship comes from the geometric construction of the polyhedron where pyramids are attached to each face of a cube.
Details: Calculating the height of a Tetrakis Hexahedron is essential for understanding its spatial dimensions, volume calculations, and for applications in architecture, crystallography, and geometric modeling where this polyhedron is used.
Tips: Enter the pyramidal edge length in meters. The value must be positive and valid. The calculator will automatically compute the height using the formula h = 2 × pyramidal edge length.
Q1: What is a Tetrakis Hexahedron?
A: A Tetrakis Hexahedron is a Catalan solid that can be seen as a cube with square pyramids attached to each face. It has 24 faces, 36 edges, and 14 vertices.
Q2: Why is the height exactly twice the pyramidal edge length?
A: This relationship comes from the symmetric construction of the polyhedron where the pyramids attached to opposite faces align perfectly, making the total height equal to twice the height of one pyramid, which equals the pyramidal edge length in this configuration.
Q3: What are the units for measurement?
A: The calculator uses meters as the default unit, but the formula works with any consistent unit system (cm, mm, inches, etc.) as long as both input and output use the same units.
Q4: Can this calculator be used for other polyhedra?
A: No, this specific calculator is designed only for Tetrakis Hexahedron. Other polyhedra have different geometric relationships and require different formulas.
Q5: What if I have the total edge length instead of pyramidal edge length?
A: You would need to convert or calculate the pyramidal edge length first, as this calculator specifically requires the pyramidal edge length as input.