1. What is the Elongated Triangular Bipyramid?

The Elongated Triangular Bipyramid is a polyhedron formed by elongating a triangular bipyramid by inserting a triangular prism between its two halves. It has 9 faces: 6 equilateral triangles and 3 squares.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( TSA \) — Total Surface Area (m²)
• \( le \) — Edge Length (m)
• \( \sqrt{3} \) — Square root of 3 (approximately 1.732)

Explanation: The formula calculates the sum of areas of all faces (6 triangles and 3 squares) of the elongated triangular bipyramid.

3. Importance of Surface Area Calculation

Details: Surface area calculations are essential in various fields including materials science, architecture, and 3D modeling for determining properties like material requirements, heat transfer, and structural integrity.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is an elongated triangular bipyramid?
A: It's a Johnson solid (J14) formed by inserting a triangular prism between the two pyramids of a triangular bipyramid.

Q2: How many faces does this polyhedron have?
A: It has 9 faces: 6 equilateral triangles and 3 squares.

Q3: What are the practical applications of this calculation?
A: Useful in crystallography, architectural design, and mathematical modeling of complex structures.

Q4: Can this formula be used for other polyhedra?
A: No, this specific formula applies only to the elongated triangular bipyramid. Other polyhedra have different surface area formulas.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact when precise input values are provided, as it's based on geometric principles.