Short Height of Skewed Three Edged Prism given Volume Calculator

Formula Used:

\[ h_{Short} = \frac{3 \times V}{A_{Base(Even)}} - h_{Long} - h_{Medium} \]

Volume of Skewed Three Edged Prism:

m³

Even Base Area of Skewed Three Edged Prism:

m²

Long Height of Skewed Three Edged Prism:

Medium Height of Skewed Three Edged Prism:

Short Height of Skewed Three Edged Prism:

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1. What is the Short Height of Skewed Three Edged Prism?

The Short Height of Skewed Three Edged Prism is the length of the shortest lateral edge or the minimum 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:

\[ h_{Short} = \frac{3 \times V}{A_{Base(Even)}} - h_{Long} - h_{Medium} \]

Where:

\( h_{Short} \) — Short Height of Skewed Three Edged Prism (m)
\( V \) — Volume of Skewed Three Edged Prism (m³)
\( A_{Base(Even)} \) — Even Base Area of Skewed Three Edged Prism (m²)
\( h_{Long} \) — Long Height of Skewed Three Edged Prism (m)
\( h_{Medium} \) — Medium Height of Skewed Three Edged Prism (m)

Explanation: This formula calculates the shortest height of a skewed three-edged prism based on its volume, base area, and the other two heights.

3. Importance of Short Height Calculation

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

4. Using the Calculator

Tips: Enter the volume in cubic meters, base area in square meters, and both long and medium heights in meters. 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 are there three different heights in a skewed prism?
A: In a skewed prism, the lateral edges have different lengths, resulting in three distinct heights corresponding to each edge.

Q3: Can this formula be used for regular prisms?
A: For a regular (right) prism, all heights would be equal, making this formula unnecessary as all edges have the same length.

Q4: What are practical applications of this calculation?
A: This calculation is useful in structural engineering, architectural design, and manufacturing where precise dimensions of irregular prismatic shapes are needed.

Q5: How accurate is this calculation?
A: The accuracy depends on the precision of the input values. The formula itself is mathematically exact for the given parameters.