1. What is the Edge Length of Rhombicuboctahedron?

The edge length of a Rhombicuboctahedron is the length of any edge of this polyhedron, which has 8 triangular and 18 square faces. It is a key geometric parameter used in various mathematical and engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Volume \) — Volume of the Rhombicuboctahedron (m³)
• \( \sqrt[3]{} \) — Cube root function
• \( \sqrt{2} \) — Square root of 2 (approximately 1.4142)

Explanation: This formula derives from the geometric properties of the Rhombicuboctahedron, relating its volume to the edge length through mathematical constants.

3. Importance of Edge Length Calculation

Details: Calculating the edge length from volume is essential for geometric modeling, architectural design, and understanding the spatial properties of this complex polyhedron.

4. Using the Calculator

Tips: Enter the volume of the Rhombicuboctahedron in cubic meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rhombicuboctahedron?
A: A Rhombicuboctahedron is an Archimedean solid with 8 triangular faces and 18 square faces, totaling 26 faces, 24 vertices, and 48 edges.

Q2: Why is the formula so complex?
A: The formula incorporates mathematical constants that represent the unique geometric proportions of the Rhombicuboctahedron, ensuring accurate calculations.

Q3: Can this calculator handle different units?
A: The calculator uses cubic meters for volume. For other units, convert to cubic meters first before calculation.

Q4: What are practical applications of this calculation?
A: This calculation is used in architecture, 3D modeling, crystallography, and mathematical research involving polyhedral geometry.

Q5: How accurate is the calculation?
A: The calculation provides high mathematical accuracy, with results rounded to 6 decimal places for practical use.