1. What is the Volume of Rhombicuboctahedron?

The volume of a Rhombicuboctahedron is the total three-dimensional space enclosed by its surface. It's an Archimedean solid with 8 triangular and 18 square faces.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Volume of Rhombicuboctahedron (m³)
• \( r_m \) — Midsphere Radius of Rhombicuboctahedron (m)
• \( \sqrt{2} \) — Square root of 2 (approximately 1.4142)

Explanation: This formula calculates the volume based on the midsphere radius, which is the radius of the sphere tangent to all edges of the polyhedron.

3. Importance of Volume Calculation

Details: Calculating the volume of geometric solids is fundamental in mathematics, engineering, architecture, and various scientific fields where spatial measurements and properties are crucial.

4. Using the Calculator

Tips: Enter the midsphere radius in meters. The value must be positive and greater than zero. The calculator will compute the corresponding volume.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rhombicuboctahedron?
A: A Rhombicuboctahedron is an Archimedean solid with 26 faces - 8 equilateral triangles and 18 squares, 24 identical vertices, and 48 edges.

Q2: What is the midsphere radius?
A: The midsphere radius is the radius of the sphere that is tangent to all edges of the polyhedron.

Q3: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert your measurement to meters first or adjust the result accordingly.

Q4: What are practical applications of this calculation?
A: This calculation is used in geometry research, architectural design, material science, and 3D modeling applications.

Q5: How accurate is the calculation?
A: The calculation uses precise mathematical formulas and provides results accurate to 6 decimal places, making it suitable for most practical applications.