1. What is the Width of Elongated Dodecahedron?

The Width of Elongated Dodecahedron is the horizontal distance from the left most edge to the right most edge of the regular Elongated Dodecahedron. It is an important geometric measurement for this polyhedron shape.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( w \) — Width of Elongated Dodecahedron (m)
• \( l_e \) — Edge Length of Elongated Dodecahedron (m)

3. Formula Explanation

Details: The width of an elongated dodecahedron is exactly three times its edge length. This relationship holds true for all regular elongated dodecahedrons regardless of their size.

4. Using the Calculator

Tips: Enter the edge length of the elongated dodecahedron in meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is an elongated dodecahedron?
A: An elongated dodecahedron is a polyhedron formed by elongating a regular dodecahedron along one of its axes, creating a shape with 12 regular pentagonal faces and additional rectangular faces.

Q2: Why is the width exactly three times the edge length?
A: This is a geometric property of the elongated dodecahedron shape, resulting from its symmetrical construction and the specific way it is elongated from a regular dodecahedron.

Q3: Can this formula be used for irregular elongated dodecahedrons?
A: No, this formula applies only to regular elongated dodecahedrons where all edges are equal in length and all angles maintain their regular measurements.

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

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for regular elongated dodecahedrons, providing precise results based on the input edge length.