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Total Surface Area Of Deltoidal Icositetrahedron Given Nonsymmetry Diagonal Calculator

Formula Used:

\[ TSA = \frac{12}{7} \times \sqrt{61 + 38\sqrt{2}} \times \left( \frac{2 \times d_{\text{Non Symmetry}}}{\sqrt{4 + 2\sqrt{2}}} \right)^2 \]

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1. What is the Total Surface Area of Deltoidal Icositetrahedron?

The Total Surface Area of Deltoidal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Deltoidal Icositetrahedron. It is a polyhedron with deltoid (kite-shaped) faces.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ TSA = \frac{12}{7} \times \sqrt{61 + 38\sqrt{2}} \times \left( \frac{2 \times d_{\text{Non Symmetry}}}{\sqrt{4 + 2\sqrt{2}}} \right)^2 \]

Where:

Explanation: This formula calculates the total surface area based on the non-symmetry diagonal measurement of the deltoidal icositetrahedron.

3. Importance of Total Surface Area Calculation

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

4. Using the Calculator

Tips: Enter the NonSymmetry Diagonal value in meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a Deltoidal Icositetrahedron?
A: A Deltoidal Icositetrahedron is a Catalan solid with 24 deltoid (kite-shaped) faces, 26 vertices, and 48 edges.

Q2: What is the NonSymmetry Diagonal?
A: The NonSymmetry Diagonal of Deltoidal Icositetrahedron is the length of the diagonal which divides the deltoid faces into two isosceles triangles.

Q3: What are the units for the result?
A: The result is in square meters (m²), which is the standard unit for surface area measurements.

Q4: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values with up to 4 decimal places for precise calculations.

Q5: What if I get an error in calculation?
A: Make sure the input value is positive and greater than zero. Negative values or zero will not produce valid results.

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