1. What is Total Surface Area of Elongated Triangular Pyramid?

The Total Surface Area of an Elongated Triangular Pyramid is the sum of the areas of all its faces. It represents the total two-dimensional space occupied by the surface of this geometric solid.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( TSA \) — Total Surface Area (m²)
• \( h \) — Height of the elongated triangular pyramid (m)
• \( \sqrt{3} \) — Square root of 3 (approximately 1.732)
• \( \sqrt{6} \) — Square root of 6 (approximately 2.449)

Explanation: This formula calculates the total surface area based on the height of the elongated triangular pyramid, incorporating mathematical constants and geometric relationships.

3. Importance of TSA Calculation

Details: Calculating total surface area is crucial for various applications including material estimation, structural design, and geometric analysis of three-dimensional shapes.

4. Using the Calculator

Tips: Enter the height of the elongated triangular pyramid in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is an elongated triangular pyramid?
A: An elongated triangular pyramid is a geometric solid formed by attaching a triangular prism to a triangular pyramid base-to-base.

Q2: What units should be used for the height input?
A: The height should be entered in meters (m) for consistent surface area results in square meters (m²).

Q3: Can this calculator handle very large or very small values?
A: The calculator can handle a wide range of values, but extremely large or small numbers may be limited by computational precision.

Q4: How accurate are the results?
A: Results are calculated with high precision using PHP's mathematical functions and rounded to 6 decimal places.

Q5: What if I get an error message?
A: Ensure you've entered a valid positive number for the height and try again. Contact support if issues persist.