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Long Inner Side Of Hollow Frustum Given Short Sides Calculator

Formula Used:

\[ \text{Long Inner Side} = \text{Long Outer Side} - (\text{Short Outer Side} - \text{Short Inner Side}) \]

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1. What Is The Long Inner Side Of Hollow Frustum?

The Long Inner Side of Hollow Frustum is the side length of the inner regular polygon on the base of the Hollow Frustum. It is an important geometric parameter in determining the dimensions and properties of hollow frustum structures.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ \text{Long Inner Side} = \text{Long Outer Side} - (\text{Short Outer Side} - \text{Short Inner Side}) \]

Where:

Explanation: This formula calculates the long inner side by subtracting the difference between short outer and short inner sides from the long outer side.

3. Importance Of Calculation

Details: Accurate calculation of the long inner side is crucial for geometric modeling, architectural design, and engineering applications involving hollow frustum structures.

4. Using The Calculator

Tips: Enter all three side lengths in meters. All values must be positive numbers. The calculator will compute the long inner side based on the provided inputs.

5. Frequently Asked Questions (FAQ)

Q1: What is a hollow frustum?
A: A hollow frustum is a three-dimensional geometric shape formed by cutting a smaller similar solid from a larger one, creating a hollow interior.

Q2: What units should I use for the inputs?
A: The calculator uses meters as the default unit, but you can use any consistent unit of length as long as all inputs use the same unit.

Q3: Can this formula be used for any polygon shape?
A: Yes, the formula applies to regular polygons where all sides are equal and all angles are equal.

Q4: What if the result is negative?
A: A negative result indicates invalid input values that don't correspond to a physically possible hollow frustum geometry.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for the given formula and precise input values.

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