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Edge Length Of Elongated Triangular Bipyramid Given Total Surface Area Calculator

Formula Used:

\[ Edge\ Length = \sqrt{\frac{Total\ Surface\ Area}{\frac{3}{2} \times (2 + \sqrt{3})}} \]

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

The edge length of an elongated triangular bipyramid is the measurement of any edge of this polyhedron. It's a fundamental geometric property that helps define the shape's size and proportions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Edge\ Length = \sqrt{\frac{Total\ Surface\ Area}{\frac{3}{2} \times (2 + \sqrt{3})}} \]

Where:

Explanation: This formula calculates the edge length based on the known total surface area of the elongated triangular bipyramid, using the geometric relationship between edge length and surface area.

3. Importance of Edge Length Calculation

Details: Calculating edge length from total surface area is important in geometry, architecture, and material science where precise dimensional relationships are crucial for design and construction purposes.

4. Using the Calculator

Tips: Enter the total surface area in square meters. The value must be positive and valid. The calculator will compute the corresponding edge length.

5. Frequently Asked Questions (FAQ)

Q1: What is an elongated triangular bipyramid?
A: An elongated triangular bipyramid is a polyhedron formed by attaching two triangular pyramids to opposite faces of a triangular prism.

Q2: Why is this formula specific to elongated triangular bipyramids?
A: The formula derives from the unique geometric properties and surface area relationships specific to elongated triangular bipyramids.

Q3: What units should I use for the calculation?
A: Use consistent units (typically meters for length and square meters for area) to ensure accurate results.

Q4: Can this formula be used for other polyhedra?
A: No, this formula is specifically designed for elongated triangular bipyramids. Other polyhedra have different surface area to edge length relationships.

Q5: What if I get an error or unexpected result?
A: Ensure you've entered a valid positive number for the total surface area and that your input follows the required format.

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