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

Formula Used:

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

Area of Rectangular Hexagon (A):

m²

Inner Length of Rectangular Hexagon (l_Inner):

Inner Width of Rectangular Hexagon (w_Inner):

Short Length of Rectangular Hexagon (l_Short):

Short Width of Rectangular Hexagon (w_Short):

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1. What is Short Width of Rectangular Hexagon?

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 that define the geometry of a rectangular hexagon.

2. How Does the Calculator Work?

The calculator uses the formula:

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

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)
\( l_{Short} \) — Short Length of Rectangular Hexagon (m)

Explanation: This formula calculates the short width based on the total area and other known dimensions of the rectangular hexagon, accounting for the geometric relationships between the different sides.

3. Importance of Short Width Calculation

Details: Calculating the short width is essential for determining the complete geometry of rectangular hexagons, which are important in various engineering, architectural, and design applications where complex polygonal shapes are required.

4. Using the Calculator

Tips: Enter all required dimensions in meters. Ensure all values are positive numbers. The calculator will compute the short width based on the geometric relationship between the area and other dimensions.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A rectangular hexagon is a six-sided polygon formed by removing a smaller rectangle from a larger rectangle, creating a shape with both rectangular and hexagonal characteristics.

Q2: When is this calculation typically used?
A: This calculation is commonly used in architectural design, manufacturing, and engineering applications where precise geometric measurements of complex shapes are required.

Q3: What units should be used for input values?
A: All input values should be in consistent units (typically meters for length measurements and square meters for area).

Q4: Can this formula be used for any rectangular hexagon?
A: Yes, this formula applies to all rectangular hexagons where the specified dimensions are known and valid.

Q5: What if I get a negative result?
A: A negative result typically indicates that the input values are inconsistent with a valid rectangular hexagon geometry. Please verify your input values.