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Shorter Base Edge of Skewed Three Edged Prism given Base Perimeter Calculator

Formula Used:

\[ Shorter Base Edge = Even Base Perimeter - Longer Base Edge - Medium Base Edge \]

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1. What is the Shorter Base Edge of Skewed Three Edged Prism?

The Shorter Base Edge of Skewed Three Edged Prism is the length of the shortest edge of the triangular face at the bottom of the Skewed Three Edged Prism. It is an important geometric parameter in three-dimensional shape analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Shorter Base Edge = Even Base Perimeter - Longer Base Edge - Medium Base Edge \]

Where:

Explanation: This formula calculates the shortest edge by subtracting the lengths of the longer and medium edges from the total perimeter of the triangular base.

3. Importance of Shorter Base Edge Calculation

Details: Calculating the shorter base edge is essential for geometric analysis, structural design, and understanding the properties of skewed three-edged prisms in various engineering and architectural applications.

4. Using the Calculator

Tips: Enter all measurements in meters. Ensure that the sum of longer and medium base edges is less than the even base perimeter for valid results. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a Skewed Three Edged Prism?
A: A Skewed Three Edged Prism is a polyhedron with two parallel triangular bases and three rectangular lateral faces that are not perpendicular to the bases.

Q2: Why is it called "skewed"?
A: The prism is called "skewed" because the lateral edges are not perpendicular to the base planes, creating an oblique orientation.

Q3: What are the applications of this calculation?
A: This calculation is used in geometry, architecture, structural engineering, and 3D modeling where precise dimensional analysis of prismatic structures is required.

Q4: Can this formula be used for any triangular prism?
A: This specific formula applies to skewed three-edged prisms where the base perimeter is given as "even" and the edges are classified as longer, medium, and shorter.

Q5: What if the calculated shorter edge is negative?
A: A negative result indicates invalid input values where the sum of longer and medium edges exceeds the total perimeter, which is geometrically impossible for a triangle.

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