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The Pyramidal Height of Small Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron. It represents the distance from the center of the polyhedron to the tip of one of its pyramidal projections.
The calculator uses the mathematical formula:
Where:
Explanation: This formula calculates the pyramidal height based on the volume of the Small Stellated Dodecahedron, using the mathematical relationship between volume and geometric dimensions.
Details: Calculating the pyramidal height is important for understanding the three-dimensional structure of the Small Stellated Dodecahedron, its geometric properties, and for applications in mathematical modeling and geometric analysis.
Tips: Enter the volume of the Small Stellated Dodecahedron in cubic meters. The value must be positive and valid for accurate calculation of the pyramidal height.
Q1: What is a Small Stellated Dodecahedron?
A: The Small Stellated Dodecahedron is a Kepler-Poinsot polyhedron that consists of 12 pentagram faces with five meeting at each vertex.
Q2: How is volume related to pyramidal height?
A: The volume and pyramidal height are mathematically related through the geometric properties of the polyhedron, allowing calculation of one from the other.
Q3: What are typical values for pyramidal height?
A: The pyramidal height depends on the size of the polyhedron. For standard-sized Small Stellated Dodecahedrons, typical values range based on the volume.
Q4: Can this formula be used for other polyhedrons?
A: No, this specific formula applies only to the Small Stellated Dodecahedron due to its unique geometric properties.
Q5: What precision should I expect from the calculation?
A: The calculator provides results with 6 decimal places precision, which is sufficient for most mathematical and geometric applications.