Second Right Angle Edge of Trirectangular Tetrahedron given Volume Calculator

Formula Used:

\[ \text{Second RA Edge} = \frac{6 \times \text{Volume}}{\text{First RA Edge} \times \text{Third RA Edge}} \]

Volume of Trirectangular Tetrahedron:

m³

First RA Edge of Trirectangular Tetrahedron:

Third RA Edge of Trirectangular Tetrahedron:

Second RA Edge of Trirectangular Tetrahedron:

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1. What is the Second RA Edge of Trirectangular Tetrahedron?

The Second RA Edge of Trirectangular Tetrahedron is the second edge out of the three mutually perpendicular edges of the Trirectangular Tetrahedron. It is one of the edges that form the right angles in this geometric shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Second RA Edge} = \frac{6 \times \text{Volume}}{\text{First RA Edge} \times \text{Third RA Edge}} \]

Where:

Volume — Total quantity of three-dimensional space enclosed by the surface of the Trirectangular Tetrahedron (m³)
First RA Edge — First edge out of the three mutually perpendicular edges (m)
Third RA Edge — Third edge out of the three mutually perpendicular edges (m)

Explanation: This formula calculates the second right angle edge when the volume and the other two perpendicular edges are known.

3. Importance of Second RA Edge Calculation

Details: Calculating the second right angle edge is important for geometric analysis, structural design, and understanding the properties of trirectangular tetrahedrons in various applications.

4. Using the Calculator

Tips: Enter volume in cubic meters, and both first and third RA edges in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a Trirectangular Tetrahedron?
A: A trirectangular tetrahedron is a tetrahedron with three faces that are mutually perpendicular right triangles.

Q2: Why are there three mutually perpendicular edges?
A: The three mutually perpendicular edges form the right angles between the three perpendicular faces of the tetrahedron.

Q3: Can this formula be used for any tetrahedron?
A: No, this specific formula applies only to trirectangular tetrahedrons where three faces are mutually perpendicular right triangles.

Q4: What units should be used for the inputs?
A: Consistent units should be used (e.g., meters for edges and cubic meters for volume). The calculator assumes metric units.

Q5: What if the denominator becomes zero?
A: The calculator validates that all inputs are positive numbers greater than zero to prevent division by zero errors.