1. What is Edge Length of Snub Disphenoid?

The edge length of a snub disphenoid refers to the length of any of its edges. A snub disphenoid is a convex polyhedron with 12 equilateral triangles as faces, 18 edges, and 8 vertices. It is one of the Johnson solids.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_e \) — Edge length of snub disphenoid (m)
• \( TSA \) — Total surface area of snub disphenoid (m²)

Explanation: This formula calculates the edge length from the total surface area by considering the geometric properties of the snub disphenoid, which has 12 equilateral triangular faces.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the dimensions and scaling of the snub disphenoid, which is important in various geometric and architectural 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 snub disphenoid?
A: A snub disphenoid is a convex polyhedron with 12 equilateral triangular faces, 18 edges, and 8 vertices. It is one of the Johnson solids.

Q2: Why is the formula structured this way?
A: The formula derives from the relationship between the total surface area and the edge length, considering all faces are equilateral triangles.

Q3: Can this calculator be used for other polyhedra?
A: No, this specific formula applies only to the snub disphenoid due to its unique geometric properties.

Q4: What units should I use?
A: The calculator uses meters for length and square meters for area. Ensure consistent units for accurate results.

Q5: How precise is the calculation?
A: The calculation is mathematically precise based on the input values, with results rounded to 10 decimal places.