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Cut Width of Obtuse Edged Cuboid Given Cuboidal and Inner Width Calculator

Formula Used:

\[ w_{Cut} = \frac{w_{Cuboid} - w_{Inner}}{\sqrt{2}} \]

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1. What is Cut Width of Obtuse Edged Cuboid?

Cut Width of Obtuse Edged Cuboid is the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ w_{Cut} = \frac{w_{Cuboid} - w_{Inner}}{\sqrt{2}} \]

Where:

Explanation: This formula calculates the cut width based on the difference between the cuboidal width and inner width, divided by the square root of 2.

3. Importance of Cut Width Calculation

Details: Calculating the cut width is essential in geometric modeling and manufacturing processes where precise dimensions are required for creating obtuse edged cuboids from original cuboids.

4. Using the Calculator

Tips: Enter cuboidal width and inner width in meters. Both values must be positive, and cuboidal width must be greater than inner width for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is an Obtuse Edged Cuboid?
A: An Obtuse Edged Cuboid is a geometric shape formed by regularly cutting off the edges of a original cuboid, resulting in new edges with obtuse angles.

Q2: Why is the square root of 2 used in the formula?
A: The square root of 2 factor accounts for the geometric relationship between the cut width and the difference in dimensions when creating 45-degree cuts on the edges.

Q3: What are typical applications of this calculation?
A: This calculation is used in manufacturing, architecture, and 3D modeling where precise geometric transformations are required.

Q4: Are there limitations to this formula?
A: This formula assumes regular 45-degree cuts and may not apply to irregular cutting patterns or non-cuboidal shapes.

Q5: Can this calculator handle different units?
A: The calculator uses meters as the default unit, but the formula works with any consistent unit of measurement.

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