Formula Used:
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The Inner Width of Obtuse Edged Cuboid is the width of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.
The calculator uses the formula:
Where:
Explanation: The formula calculates the inner width by subtracting the product of the square root of 2 and the cut width from the original cuboidal width.
Details: Calculating the inner width is essential for understanding the dimensions and geometry of obtuse edged cuboids, particularly in manufacturing, architecture, and 3D modeling applications.
Tips: Enter the cuboidal width and cut width in meters. Both values must be positive numbers greater than zero.
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 standard cuboid, resulting in a polyhedron with obtuse angles along its edges.
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 resulting reduction in dimensions when edges are cut at 45-degree angles.
Q3: Can this formula be used for other dimensions?
A: Similar formulas exist for calculating inner length and inner height of obtuse edged cuboids using the same mathematical principles.
Q4: What are typical applications of obtuse edged cuboids?
A: Obtuse edged cuboids are commonly used in architectural design, furniture manufacturing, packaging design, and various engineering applications where rounded or beveled edges are preferred.
Q5: Are there limitations to this calculation?
A: This calculation assumes perfect geometric conditions and 45-degree edge cuts. Actual measurements may vary slightly due to manufacturing tolerances and material properties.