Space Diagonal of Obtuse Edged Cuboid Calculator

Space Diagonal of Obtuse Edged Cuboid Formula:

\[ dSpace = \sqrt{(lInner)^2 + wInner^2 + hInner^2} + 2 \times \sqrt{\frac{wCut^2}{6}} \]

Inner Length of Obtuse Edged Cuboid:

Inner Width of Obtuse Edged Cuboid:

Inner Height of Obtuse Edged Cuboid:

Cut Width of Obtuse Edged Cuboid:

Space Diagonal of Obtuse Edged Cuboid:

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1. What is Space Diagonal of Obtuse Edged Cuboid?

The Space Diagonal of Obtuse Edged Cuboid is the length of the straight line that runs through the three-dimensional space connecting any two opposite vertices of the Obtuse Edged Cuboid. It represents the longest distance between two points within the cuboid.

2. How Does the Calculator Work?

The calculator uses the Space Diagonal formula:

\[ dSpace = \sqrt{(lInner)^2 + wInner^2 + hInner^2} + 2 \times \sqrt{\frac{wCut^2}{6}} \]

Where:

\( dSpace \) — Space Diagonal of Obtuse Edged Cuboid (m)
\( lInner \) — Inner Length of Obtuse Edged Cuboid (m)
\( wInner \) — Inner Width of Obtuse Edged Cuboid (m)
\( hInner \) — Inner Height of Obtuse Edged Cuboid (m)
\( wCut \) — Cut Width of Obtuse Edged Cuboid (m)

Explanation: The formula calculates the space diagonal by combining the diagonal of the inner cuboid with an additional component that accounts for the cut edges.

3. Importance of Space Diagonal Calculation

Details: Calculating the space diagonal is crucial for understanding the maximum dimensions of the cuboid, packaging considerations, structural analysis, and spatial planning in various engineering and architectural applications.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure all values are positive numbers greater than zero. The calculator will compute the space diagonal based on the provided dimensions.

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 an original cuboid, resulting in a shape with obtuse angles at the edges.

Q2: How is this different from a regular cuboid's space diagonal?
A: The space diagonal of an obtuse edged cuboid includes an additional term to account for the cut edges, making it longer than the space diagonal of the inner cuboid alone.

Q3: What are typical applications of this calculation?
A: This calculation is used in manufacturing, packaging design, architectural planning, and any application involving three-dimensional objects with cut edges.

Q4: Can this formula be used for any unit of measurement?
A: Yes, as long as all input values use the same unit, the result will be in that same unit.

Q5: What if my cuboid has different cut widths on different edges?
A: This formula assumes regular cut widths on all edges. For irregular cut widths, a more complex calculation would be required.