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Volume of Deltoidal Hexecontahedron Calculator

Volume of Deltoidal Hexecontahedron Formula:

\[ V = \frac{45}{11} \times \sqrt{\frac{370 + 164 \times \sqrt{5}}{25}} \times l_{e(Long)}^3 \]

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1. What is Volume of Deltoidal Hexecontahedron?

The Volume of Deltoidal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron. It is a polyhedron with deltoid (kite-shaped) faces.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \frac{45}{11} \times \sqrt{\frac{370 + 164 \times \sqrt{5}}{25}} \times l_{e(Long)}^3 \]

Where:

Explanation: The formula calculates the volume based on the long edge length of the deltoidal hexecontahedron, incorporating mathematical constants and operations.

3. Importance of Volume Calculation

Details: Calculating the volume of geometric shapes is fundamental in mathematics, engineering, and various scientific fields for understanding spatial properties and material requirements.

4. Using the Calculator

Tips: Enter the long edge length of the deltoidal hexecontahedron in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is a Deltoidal Hexecontahedron?
A: A Deltoidal Hexecontahedron is a polyhedron with 60 deltoid (kite-shaped) faces, 120 edges, and 62 vertices.

Q2: What are the units for volume?
A: The volume is calculated in cubic meters (m³) based on the input edge length in meters.

Q3: Can this calculator handle different units?
A: The calculator expects input in meters. For other units, convert the edge length to meters first.

Q4: What is the precision of the calculation?
A: The result is rounded to 6 decimal places for clarity while maintaining reasonable accuracy.

Q5: Are there limitations to this formula?
A: This formula is specifically designed for regular deltoidal hexecontahedrons and assumes perfect geometric properties.

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