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Edge Length of Disheptahedron given Total Surface Area Calculator

Formula Used:

\[ l_e = \sqrt{\frac{TSA}{2 \times (3 + \sqrt{3})}} \]

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1. What is the Edge Length of Disheptahedron?

The edge length of a disheptahedron is the length of any edge of this polyhedron. A disheptahedron is a complex geometric shape with both square and triangular faces.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_e = \sqrt{\frac{TSA}{2 \times (3 + \sqrt{3})}} \]

Where:

Explanation: This formula calculates the edge length from the total surface area by considering the geometric properties of the disheptahedron.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the dimensions and proportions of the disheptahedron, 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 valid (greater than 0).

5. Frequently Asked Questions (FAQ)

Q1: What is a disheptahedron?
A: A disheptahedron is a polyhedron with both square and triangular faces, forming a complex geometric structure.

Q2: Why is the square root function used in the formula?
A: The square root function is used to derive the linear dimension (edge length) from the area measurement (surface area).

Q3: What are typical values for edge length?
A: Edge length values depend on the size of the disheptahedron and can vary significantly based on the total surface area.

Q4: Are there limitations to this formula?
A: This formula assumes a perfect geometric disheptahedron and may not account for irregularities in real-world objects.

Q5: Can this calculator be used for other polyhedrons?
A: No, this specific formula is designed only for disheptahedrons. Other polyhedrons have different geometric relationships.

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