Width Of Small Rectangle Of Skewed Cuboid Given Right Face Area Calculator

Formula Used:

\[ wSmall = \frac{2 \times ARight Face}{le(Right Skewed)} - wLarge \]

Right Face Area of Skewed Cuboid (ARight Face):

m²

Right Skewed Edge of Skewed Cuboid (le(Right Skewed)):

Width of Large Rectangle of Skewed Cuboid (wLarge):

Width of Small Rectangle of Skewed Cuboid (wSmall):

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1. What is the Width of Small Rectangle of Skewed Cuboid?

The Width of Small Rectangle of Skewed Cuboid is the length of the shorter edge of the smaller rectangular top surface of Skewed Cuboid. It is an important geometric parameter in determining the dimensions of a skewed cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ wSmall = \frac{2 \times ARight Face}{le(Right Skewed)} - wLarge \]

Where:

\( wSmall \) — Width of Small Rectangle of Skewed Cuboid (m)
\( ARight Face \) — Right Face Area of Skewed Cuboid (m²)
\( le(Right Skewed) \) — Right Skewed Edge of Skewed Cuboid (m)
\( wLarge \) — Width of Large Rectangle of Skewed Cuboid (m)

Explanation: This formula calculates the width of the smaller rectangular face based on the right face area, right skewed edge length, and width of the larger rectangular face.

3. Importance of Width Calculation

Details: Accurate calculation of the width of the small rectangle is crucial for determining the complete geometric properties of skewed cuboids, which is important in various engineering and architectural applications.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters for lengths, square meters for areas). Ensure all values are positive and the right skewed edge length is not zero.

5. Frequently Asked Questions (FAQ)

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

Q2: Why is the formula structured this way?
A: The formula is derived from geometric relationships between the different faces and edges of the skewed cuboid, specifically relating the right face area to the dimensions of the rectangular faces.

Q3: What are typical applications of this calculation?
A: This calculation is used in structural engineering, architectural design, and manufacturing where skewed cuboid shapes are encountered.

Q4: Are there any limitations to this formula?
A: The formula assumes a perfect skewed cuboid geometry and may not be accurate for irregular or deformed shapes.

Q5: Can negative results be obtained?
A: Yes, if the input values don't correspond to a physically possible skewed cuboid, negative results may indicate an impossible geometry.