1. What is the Edge Length of Rhombicuboctahedron?

The edge length of a rhombicuboctahedron is the length of any of its edges. A rhombicuboctahedron is an Archimedean solid with 8 triangular and 18 square faces, 24 identical vertices, and 48 edges.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Total Surface Area — The total surface area of the rhombicuboctahedron (m²)

Explanation: This formula derives from the relationship between the total surface area and the edge length of a rhombicuboctahedron, taking into account its geometric properties.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the dimensions of a rhombicuboctahedron, which is important in geometry, architecture, and various engineering applications.

4. Using the Calculator

Tips: Enter the total surface area in square 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 26 faces (8 triangles and 18 squares), 24 identical vertices, and 48 edges of equal length.

Q2: Why is the formula structured this way?
A: The formula is derived from the geometric properties of the rhombicuboctahedron, specifically how its total surface area relates to its edge length.

Q3: Can this calculator be used for other polyhedra?
A: No, this calculator is specifically designed for rhombicuboctahedra. Other polyhedra have different formulas for calculating edge length from surface area.

Q4: What are practical applications of this calculation?
A: This calculation is useful in architecture, 3D modeling, material science, and any field dealing with geometric structures and their properties.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the formula. The accuracy of the result depends on the accuracy of the input value.