Short Height of Skewed Three Edged Prism given Longer Top and Base Edge Calculator

Formula Used:

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

Medium Height of Skewed Three Edged Prism:

Longer Top Edge of Skewed Three Edged Prism:

Longer Base Edge of Skewed Three Edged Prism:

Short Height of Skewed Three Edged Prism:

Unit Converter ▲

Unit Converter ▼

From:	To:

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:

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

Where:

\( h_{Short} \) — Short Height of Skewed Three Edged Prism (m)
\( h_{Medium} \) — Medium Height of Skewed Three Edged Prism (m)
\( l_{e(Long\ Top)} \) — Longer Top Edge of Skewed Three Edged Prism (m)
\( l_{e(Long\ Base)} \) — Longer Base Edge of Skewed Three Edged Prism (m)

Explanation: This formula calculates the shortest height by subtracting the square root of the difference between the squares of the longer top and base edges from the medium height.

3. Importance of Short Height Calculation

Details: Calculating the short height is essential for determining the complete geometric properties of a skewed three-edged prism, which is important in various engineering and architectural applications.

4. Using the Calculator

Tips: Enter all values in meters. Medium height, longer top edge, and longer base edge must be positive values. The calculator will compute the short height based on the provided inputs.

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: When is this calculation typically used?
A: This calculation is commonly used in geometry, engineering design, and architectural applications where precise measurements of three-dimensional objects are required.

Q3: What are the units of measurement?
A: All measurements should be in consistent units (typically meters) for accurate results.

Q4: Are there any limitations to this formula?
A: The formula assumes standard geometric properties of a skewed three-edged prism and may not apply to irregular or deformed shapes.

Q5: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal inputs with up to 4 decimal places for precise calculations.