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

Formula Used:

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

Area of Rectangular Hexagon (A):

m²

Inner Length of Rectangular Hexagon (l_Inner):

Inner Width of Rectangular Hexagon (w_Inner):

Length of Rectangular Hexagon (l):

Short Width of Rectangular Hexagon (w_Short):

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1. What is the Short Width of Rectangular Hexagon?

The Short Width of Rectangular Hexagon is the remaining length of the rectangle width from which the Rectangular Hexagon shape forms, after removing the cut rectangular portion. It represents one of the key dimensions in defining the geometry of a rectangular hexagon.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the short width by considering the total area and the dimensions of both the outer rectangle and the inner cut portion.

3. Importance of Short Width Calculation

Details: Calculating the short 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 dimensions in meters. Ensure all values are positive numbers. The area and length values should be greater than zero for accurate calculation.

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 geometric analysis where rectangular hexagon shapes are involved.

Q3: What units should I use?
A: All inputs should be in consistent units (preferably meters). The result will be in the same unit system.

Q4: Are there any limitations to this formula?
A: The formula assumes perfect geometric shapes and may not account for manufacturing tolerances or irregular geometries.

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