Long Height of Skewed Three Edged Prism Given Medium Edged Trapezoidal Area Calculator

Formula Used:

\[ h_{Long} = \frac{2 \times A_{Trapezoidal(Medium)}}{le_{Medium Base}} - h_{Short} \]

ME Trapezoidal Area of Skewed Three Edged Prism:

m²

Medium Base Edge of Skewed Three Edged Prism:

Short Height of Skewed Three Edged Prism:

Long Height of Skewed Three Edged Prism:

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1. What is Long Height of Skewed Three Edged Prism?

Long Height of Skewed Three Edged Prism is the length of the longest lateral edge or the maximum vertical distance between top and bottom triangular faces of the Skewed Three Edged Prism.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h_{Long} = \frac{2 \times A_{Trapezoidal(Medium)}}{le_{Medium Base}} - h_{Short} \]

Where:

\( h_{Long} \) — Long Height of Skewed Three Edged Prism (m)
\( A_{Trapezoidal(Medium)} \) — ME Trapezoidal Area of Skewed Three Edged Prism (m²)
\( le_{Medium Base} \) — Medium Base Edge of Skewed Three Edged Prism (m)
\( h_{Short} \) — Short Height of Skewed Three Edged Prism (m)

3. Formula Explanation

Details: This formula calculates the longest height of a skewed three-edged prism based on the medium-edged trapezoidal area, medium base edge length, and the shortest height of the prism.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for lengths, square meters for area). Ensure all values are positive numbers with the medium base edge greater than zero.

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 faces (bases) and three lateral faces that are parallelograms, where the lateral edges are not perpendicular to the bases.

Q2: What does ME Trapezoidal Area represent?
A: ME Trapezoidal Area refers to the total area enclosed on the lateral right trapezoidal face of the shape, where the nonparallel edges are medium edges of triangular faces.

Q3: When is this calculation useful?
A: This calculation is useful in geometry, architecture, and engineering applications where precise measurements of three-dimensional skewed prisms are required.

Q4: What are the measurement units?
A: The calculator uses meters for length measurements and square meters for area measurements. Ensure consistent units for accurate results.

Q5: Can this formula be used for any type of prism?
A: No, this specific formula is designed for skewed three-edged prisms with the particular geometric properties described in the variables.