Length of Large Rectangle of Skewed Cuboid given Front Face Area Calculator

Formula Used:

\[ l_{Large} = \frac{2 \times A_{Front\ Face}}{l_{e(Left\ Skewed)}} - l_{Small} \]

Front Face Area (A_{Front Face}):

m²

Left Skewed Edge (l_{e(Left Skewed)}):

Length of Small Rectangle (l_Small):

Length of Large Rectangle (l_Large):

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1. What is Length of Large Rectangle of Skewed Cuboid?

The Length of Large Rectangle of Skewed Cuboid is the length of the longer edge of the larger rectangular base surface of a Skewed Cuboid. It is an important geometric parameter in 3D shape analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_{Large} = \frac{2 \times A_{Front\ Face}}{l_{e(Left\ Skewed)}} - l_{Small} \]

Where:

\( l_{Large} \) — Length of Large Rectangle (m)
\( A_{Front\ Face} \) — Front Face Area (m²)
\( l_{e(Left\ Skewed)} \) — Left Skewed Edge (m)
\( l_{Small} \) — Length of Small Rectangle (m)

Explanation: This formula calculates the length of the large rectangular base by relating it to the front face area, left skewed edge, and the length of the small rectangle.

3. Importance of Length Calculation

Details: Accurate calculation of geometric parameters is crucial for 3D modeling, architectural design, manufacturing processes, and structural analysis of skewed cuboid shapes.

4. Using the Calculator

Tips: Enter front face area in square meters, left skewed edge in meters, and length of small rectangle in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a Skewed Cuboid?
A: A Skewed Cuboid is a three-dimensional geometric shape where the faces are not perpendicular to each other, creating a slanted or oblique structure.

Q2: How is this different from a regular cuboid?
A: Unlike a regular cuboid where all angles are right angles, a skewed cuboid has faces that are not perpendicular, resulting in slanted edges and faces.

Q3: What are typical applications of this calculation?
A: This calculation is used in architectural design, 3D modeling, structural engineering, and manufacturing where non-rectangular prism shapes are involved.

Q4: Are there any limitations to this formula?
A: The formula assumes specific geometric relationships in a skewed cuboid and may not apply to other irregular 3D shapes or differently configured skewed cuboids.

Q5: What units should be used for input values?
A: All input values should use consistent units (typically meters for length and square meters for area) to ensure accurate results.