1. What is the Edge Length of Icosidodecahedron?

The edge length of an icosidodecahedron is the length of any edge of this Archimedean solid, which has 20 triangular faces and 12 pentagonal faces. It is a crucial measurement for determining various geometric properties of the shape.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_e \) — Edge Length of Icosidodecahedron (m)
• \( TSA \) — Total Surface Area of Icosidodecahedron (m²)

Explanation: This formula calculates the edge length from the total surface area by considering the geometric properties of the icosidodecahedron's faces.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the size and proportions of an icosidodecahedron, which is important in various fields including mathematics, architecture, and 3D modeling.

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 an icosidodecahedron?
A: An icosidodecahedron is an Archimedean solid with 32 faces (20 triangles and 12 pentagons), 60 edges, and 30 vertices.

Q2: Why is this formula used?
A: This formula provides a direct relationship between the total surface area and the edge length based on the geometric properties of the shape.

Q3: What are the units for edge length?
A: The edge length is typically measured in meters (m), but can be in any length unit as long as the surface area is in the corresponding squared unit.

Q4: Can this calculator handle different units?
A: The calculator assumes consistent units. If surface area is input in cm², the edge length result will be in cm.

Q5: What is the precision of the calculation?
A: The result is rounded to 6 decimal places for practical use, but the actual calculation uses more precise values.