Long Outer Side Of Hollow Frustum Given Short Sides Calculator

Formula Used:

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

Long Inner Side of Hollow Frustum (S_{Long Inner}):

Short Outer Side of Hollow Frustum (S_{Short Outer}):

Short Inner Side of Hollow Frustum (S_{Short Inner}):

Long Outer Side of Hollow Frustum (S_{Long Outer}):

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1. What is the Long Outer Side of Hollow Frustum?

The Long Outer Side of Hollow Frustum is the side length of the outer regular polygon on the base of the Hollow Frustum. It represents the longest outer dimension at the base of this geometric shape.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( S_{\text{Long Outer}} \) — Long Outer Side of Hollow Frustum (m)
\( S_{\text{Long Inner}} \) — Long Inner Side of Hollow Frustum (m)
\( S_{\text{Short Outer}} \) — Short Outer Side of Hollow Frustum (m)
\( S_{\text{Short Inner}} \) — Short Inner Side of Hollow Frustum (m)

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

3. Importance of Long Outer Side Calculation

Details: Calculating the long outer side is essential for determining the complete dimensions of a hollow frustum, which is crucial in various engineering, architectural, and manufacturing applications where precise geometric measurements are required.

4. Using the Calculator

Tips: Enter all three required values in meters. Ensure that the short outer side is greater than or equal to the short inner side for meaningful results. All values must be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: What is a hollow frustum?
A: A hollow frustum is a truncated pyramid or cone shape with both outer and inner surfaces, creating a hollow interior space.

Q2: When would I need to calculate the long outer side?
A: This calculation is needed in construction, manufacturing, and engineering when working with tapered hollow structures where precise dimensions are critical.

Q3: 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 are in the same unit.

Q4: Can the result be negative?
A: No, the result should always be non-negative as it represents a physical length dimension.

Q5: What if my short outer side is smaller than short inner side?
A: This would indicate an invalid geometric configuration for a hollow frustum, as the outer dimensions should generally be larger than the inner dimensions.