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Edge Length of Elongated Triangular Pyramid given Surface to Volume Ratio Calculator

Formula Used:

\[ le = \frac{3+\sqrt{3}}{\frac{\sqrt{2}+3\sqrt{3}}{12} \times AV} \]

1/m

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1. What is Edge Length of Elongated Triangular Pyramid?

The Edge Length of Elongated Triangular Pyramid is the length of any edge of the Elongated Triangular Pyramid, which is a geometric solid formed by attaching a triangular pyramid to one face of a triangular prism.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ le = \frac{3+\sqrt{3}}{\frac{\sqrt{2}+3\sqrt{3}}{12} \times AV} \]

Where:

Explanation: This formula calculates the edge length based on the surface area to volume ratio of the elongated triangular pyramid.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is important for understanding the geometric properties of the elongated triangular pyramid, including its surface area, volume, and other dimensional characteristics.

4. Using the Calculator

Tips: Enter the surface area to volume ratio (SA:V) in 1/m. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is an elongated triangular pyramid?
A: An elongated triangular pyramid is a polyhedron formed by attaching a triangular pyramid to one face of a triangular prism, creating a geometric solid with both pyramidal and prismatic sections.

Q2: What does SA:V ratio represent?
A: SA:V ratio represents the surface area to volume ratio, which is an important geometric property that influences various physical and chemical properties of the shape.

Q3: What are the units for edge length?
A: The edge length is typically measured in meters (m), but can be converted to other length units as needed.

Q4: Can this formula be used for other pyramid shapes?
A: No, this specific formula is designed for elongated triangular pyramids and may not be applicable to other pyramid shapes.

Q5: What if I get a negative result?
A: The edge length should always be a positive value. If you get a negative result, check that your input values are positive and valid.

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