1. What is the Total Surface Area of Triakis Tetrahedron?

The Total Surface Area of a Triakis Tetrahedron is the total area of all the faces of the polyhedron. A Triakis Tetrahedron is a Catalan solid that can be obtained by attaching a triangular pyramid to each face of a regular tetrahedron.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( TSA \) — Total Surface Area of Triakis Tetrahedron (m²)
• \( le(Tetrahedron) \) — Tetrahedral Edge Length of Triakis Tetrahedron (m)
• \( \sqrt{11} \) — Square root of 11 (approximately 3.3166)

Explanation: The formula calculates the total surface area based on the tetrahedral edge length of the Triakis Tetrahedron.

3. Importance of TSA Calculation

Details: Calculating the total surface area is important in geometry, material science, and various engineering applications where surface properties of polyhedrons need to be determined.

4. Using the Calculator

Tips: Enter the tetrahedral edge length in meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a Triakis Tetrahedron?
A: A Triakis Tetrahedron is a Catalan solid with 12 isosceles triangular faces, obtained by attaching a triangular pyramid to each face of a regular tetrahedron.

Q2: What units should I use for the input?
A: The calculator uses meters for length input, but you can use any consistent unit as long as you maintain the same unit for the result.

Q3: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values for more precise calculations.

Q4: What is the significance of √11 in the formula?
A: The √11 constant comes from the geometric properties and proportions of the Triakis Tetrahedron.

Q5: Are there any limitations to this formula?
A: This formula is specifically designed for regular Triakis Tetrahedrons and assumes perfect geometric proportions.