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Medium Height of Skewed Three Edged Prism given Shorter Top and Base Edge Calculator

Formula Used:

\[ h_{Medium} = h_{Long} - \sqrt{(l_{e(Short\ Top)}^2) - (l_{e(Short\ Base)}^2)} \]

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

Medium Height of Skewed Three Edged Prism is the length of the medium sized lateral edge of the Skewed Three Edged Prism. It represents the vertical distance between corresponding points on the top and bottom triangular faces along the medium lateral edge.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h_{Medium} = h_{Long} - \sqrt{(l_{e(Short\ Top)}^2) - (l_{e(Short\ Base)}^2)} \]

Where:

Explanation: This formula calculates the medium height by subtracting the square root of the difference between the squares of the shorter top edge and shorter base edge from the long height.

3. Importance of Medium Height Calculation

Details: Calculating the medium height is essential for understanding the geometry and dimensions of skewed three-edged prisms, which is important in various engineering and architectural applications where precise measurements are required.

4. Using the Calculator

Tips: Enter the long height, shorter top edge, and shorter base edge in meters. All values must be positive numbers. Ensure that the shorter top edge is longer than the shorter base edge for valid results.

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 rectangular lateral faces that are not perpendicular to the bases.

Q2: Why is the medium height important?
A: The medium height helps in determining the complete dimensional profile of the prism, which is crucial for volume calculations and structural analysis.

Q3: What units should I use?
A: The calculator uses meters as the default unit, but you can use any consistent unit of length as long as all inputs are in the same unit.

Q4: What if I get a negative result?
A: A negative result indicates that the input values may be invalid or that the shorter top edge is not sufficiently longer than the shorter base edge relative to the long height.

Q5: Can this calculator be used for other types of prisms?
A: No, this specific formula is designed for calculating the medium height of skewed three-edged prisms only.

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