Inner Length Of Obtuse Edged Cuboid Given Space Diagonal Calculator

Formula Used:

\[ l_{Inner} = \sqrt{(d_{Space} - 2 \times \sqrt{\frac{w_{Cut}^2}{6}})^2 - w_{Inner}^2 - h_{Inner}^2} \]

Space Diagonal of Obtuse Edged Cuboid:

Cut Width of Obtuse Edged Cuboid:

Inner Width of Obtuse Edged Cuboid:

Inner Height of Obtuse Edged Cuboid:

Inner Length of Obtuse Edged Cuboid:

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1. What is the Inner Length of Obtuse Edged Cuboid?

The Inner Length of Obtuse Edged Cuboid is the length of the smaller cuboid formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid. It represents the internal dimension along the length axis after the cutting process.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ l_{Inner} = \sqrt{(d_{Space} - 2 \times \sqrt{\frac{w_{Cut}^2}{6}})^2 - w_{Inner}^2 - h_{Inner}^2} \]

Where:

\( l_{Inner} \) — Inner Length of Obtuse Edged Cuboid (m)
\( d_{Space} \) — Space Diagonal of Obtuse Edged Cuboid (m)
\( w_{Cut} \) — Cut Width of Obtuse Edged Cuboid (m)
\( w_{Inner} \) — Inner Width of Obtuse Edged Cuboid (m)
\( h_{Inner} \) — Inner Height of Obtuse Edged Cuboid (m)

Explanation: The formula calculates the inner length by considering the space diagonal, cut width, and other inner dimensions of the obtuse edged cuboid.

3. Importance of Inner Length Calculation

Details: Calculating the inner length is crucial for understanding the internal volume and structural properties of obtuse edged cuboids, which are important in various engineering and architectural applications.

4. Using the Calculator

Tips: Enter all required dimensions in meters. Ensure all values are positive and valid for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is an Obtuse Edged Cuboid?
A: An Obtuse Edged Cuboid is a three-dimensional shape formed by regularly cutting off edges from a original cuboid, resulting in faces that meet at obtuse angles.

Q2: How is the Cut Width defined?
A: Cut Width is the distance between two newly emerged, parallel edges of the Obtuse Edged Cuboid after the cutting process.

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

Q4: Are there any limitations to this formula?
A: The formula assumes regular and symmetric cutting of edges. Irregular cuts may require different computational approaches.

Q5: Can this calculator handle different units?
A: The calculator currently works with meters. For other units, convert all measurements to meters before calculation.