Length Of Small Rectangle Of Skewed Cuboid Given Back Face Area Calculator

Formula Used:

\[ l_{Small} = \frac{2 \times A_{Back\ Face}}{h} - l_{Large} \]

Back Face Area of Skewed Cuboid:

m²

Height of Skewed Cuboid:

Length of Large Rectangle of Skewed Cuboid:

Length of Small Rectangle of Skewed Cuboid:

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

The Length of Small Rectangle of Skewed Cuboid is the length of the longer edge of the smaller rectangular top surface face of Skewed Cuboid. It is an important geometric parameter in 3D shape analysis and construction.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_{Small} = \frac{2 \times A_{Back\ Face}}{h} - l_{Large} \]

Where:

\( l_{Small} \) — Length of Small Rectangle of Skewed Cuboid (m)
\( A_{Back\ Face} \) — Back Face Area of Skewed Cuboid (m²)
\( h \) — Height of Skewed Cuboid (m)
\( l_{Large} \) — Length of Large Rectangle of Skewed Cuboid (m)

Explanation: This formula calculates the length of the small rectangle based on the back face area, height, and length of the large rectangle of the skewed cuboid.

3. Importance of Calculation

Details: Accurate calculation of geometric parameters is crucial for architectural design, engineering applications, and 3D modeling where precise dimensions are required for construction and manufacturing.

4. Using the Calculator

Tips: Enter all values in meters and square meters. Ensure all values are positive numbers with Back Face Area and Height greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a Skewed Cuboid?
A: A skewed cuboid is a three-dimensional shape where the top and bottom faces are rectangles of different sizes, and the side faces are trapezoids rather than rectangles.

Q2: When is this calculation typically used?
A: This calculation is commonly used in architectural design, structural engineering, and 3D modeling applications where non-standard geometric shapes are involved.

Q3: What units should be used for input?
A: All linear dimensions should be in meters (m) and areas in square meters (m²) for consistent results.

Q4: Can this formula be used for other geometric shapes?
A: No, this specific formula applies only to skewed cuboids with the described geometric properties.

Q5: What if the calculated length is negative?
A: A negative result indicates that the input values may not represent a valid geometric configuration for a skewed cuboid.