1. What is the Edge Length of Elongated Pentagonal Bipyramid?

The edge length of an elongated pentagonal bipyramid is the measurement of any edge of this polyhedron, which is derived from the total surface area using the specific geometric relationship.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_e \) — Edge length of elongated pentagonal bipyramid (m)
• \( SA_{Total} \) — Total surface area of the polyhedron (m²)

Explanation: This formula calculates the edge length based on the total surface area, taking into account the geometric properties of the elongated pentagonal bipyramid.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the dimensions and proportions of the polyhedron, 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 an elongated pentagonal bipyramid?
A: An elongated pentagonal bipyramid is a polyhedron formed by elongating a pentagonal bipyramid by inserting a pentagonal prism between its two halves.

Q2: What units should I use for the input?
A: The calculator expects the total surface area in square meters (m²), and returns the edge length in meters (m).

Q3: Can this calculator handle very large or very small values?
A: The calculator can handle a wide range of values, but extremely large or small numbers may be limited by PHP's floating-point precision.

Q4: What if I get an error message?
A: Ensure that you've entered a positive numerical value for the total surface area and that the value is within a reasonable range.

Q5: Is this formula applicable to all polyhedra?
A: No, this specific formula is only valid for elongated pentagonal bipyramids due to their unique geometric properties.