1. What is the Edge Length of Truncated Dodecahedron?

The Edge Length of a Truncated Dodecahedron is the length of any edge of this polyhedron. A truncated dodecahedron is an Archimedean solid created by truncating the vertices of a regular dodecahedron.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Total Surface Area — The total surface area of the truncated dodecahedron (m²)
• √ — Square root function

Explanation: This formula calculates the edge length based on the known total surface area of the truncated dodecahedron, using the mathematical relationship between surface area and edge length.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the geometric properties of the truncated dodecahedron, including its volume, surface area relationships, and spatial characteristics.

4. Using the Calculator

Tips: Enter the total surface area in square meters. The value must be positive and valid for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a truncated dodecahedron?
A: A truncated dodecahedron is an Archimedean solid with 20 regular triangular faces, 12 regular decagonal faces, 60 vertices, and 90 edges.

Q2: What are the applications of this calculation?
A: This calculation is used in geometry, architecture, 3D modeling, and materials science where precise dimensional calculations of polyhedra are required.

Q3: Can this formula be used for other polyhedra?
A: No, this specific formula applies only to truncated dodecahedrons. Other polyhedra have different relationships between edge length and surface area.

Q4: What units should be used?
A: The calculator uses meters for length and square meters for area, but the formula works with any consistent unit system.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric properties of the truncated dodecahedron, provided the input values are accurate.