Inner Width of Rectangular Hexagon Given Area, Inner Length, Short Length and Short Width Calculator

Formula Used:

\[ w_{Inner} = \frac{A - (w_{Short} \times l_{Inner})}{l_{Short}} - w_{Short} \]

Area of Rectangular Hexagon (A):

m²

Short Width of Rectangular Hexagon (wShort):

Inner Length of Rectangular Hexagon (lInner):

Short Length of Rectangular Hexagon (lShort):

Inner Width of Rectangular Hexagon (wInner):

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1. What is the Inner Width of Rectangular Hexagon?

The Inner Width of Rectangular Hexagon is the length of the inner edge which is parallel to the width of the Rectangular Hexagon. It represents the remaining width dimension after removing the cut rectangular portion from the original rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ w_{Inner} = \frac{A - (w_{Short} \times l_{Inner})}{l_{Short}} - w_{Short} \]

Where:

\( w_{Inner} \) — Inner Width of Rectangular Hexagon (m)
\( A \) — Area of Rectangular Hexagon (m²)
\( w_{Short} \) — Short Width of Rectangular Hexagon (m)
\( l_{Inner} \) — Inner Length of Rectangular Hexagon (m)
\( l_{Short} \) — Short Length of Rectangular Hexagon (m)

Explanation: The formula calculates the inner width by first determining the area contribution of the removed rectangular portion, then solving for the remaining inner width dimension.

3. Importance of Inner Width Calculation

Details: Calculating the inner width is essential for geometric analysis, architectural design, and engineering applications involving rectangular hexagon shapes. It helps in determining the complete dimensional properties of the figure.

4. Using the Calculator

Tips: Enter all values in meters. Ensure all inputs are positive numbers. The area should be greater than the product of short width and inner length for a valid result.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A Rectangular Hexagon is a geometric shape formed by removing a smaller rectangular portion from a larger rectangle, resulting in a six-sided polygon.

Q2: When is this calculation useful?
A: This calculation is useful in architectural design, manufacturing, and engineering where rectangular hexagon shapes are encountered, particularly in structural components and cut-out designs.

Q3: What are the measurement units?
A: The calculator uses meters for all length measurements and square meters for area, but the formula works with any consistent unit system.

Q4: Are there any limitations to this formula?
A: The formula assumes precise geometric relationships and may not account for manufacturing tolerances or material properties in practical applications.

Q5: Can negative results occur?
A: Negative results indicate invalid input combinations where the specified area cannot be achieved with the given dimensions.