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Height of Bent Cuboid given Space Diagonal, Total Length and First Partial Length Calculator

Formula Used:

\[ h = \sqrt{d_{Space}^2 - (l_{Total} - l_{First\ Partial})^2 - l_{First\ Partial}^2} \]

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1. What is Height of Bent Cuboid?

Height of Bent Cuboid is the distance between the lowest and highest points of Bent Cuboid standing upright and equal to the height of the cuboid which is bent to form Bent Cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h = \sqrt{d_{Space}^2 - (l_{Total} - l_{First\ Partial})^2 - l_{First\ Partial}^2} \]

Where:

Explanation: This formula calculates the height of a bent cuboid using the space diagonal, total length, and first partial length through geometric relationships.

3. Importance of Height Calculation

Details: Calculating the height of a bent cuboid is essential in various engineering and architectural applications where understanding the spatial dimensions of bent structures is required.

4. Using the Calculator

Tips: Enter space diagonal, total length, and first partial length in meters. All values must be positive, and first partial length should not exceed total length.

5. Frequently Asked Questions (FAQ)

Q1: What is a Bent Cuboid?
A: A bent cuboid is a three-dimensional shape formed by bending a cuboid at a right angle along one of its dimensions.

Q2: What is Space Diagonal in this context?
A: Space Diagonal of Bent Cuboid is the line segment connecting two vertices that are not on the same face.

Q3: What are typical applications of this calculation?
A: This calculation is used in structural engineering, packaging design, and architectural planning where bent structures are involved.

Q4: Are there limitations to this formula?
A: The formula assumes perfect right-angle bending and may not account for material thickness or deformation in real-world applications.

Q5: Can this calculator handle different units?
A: The calculator uses meters as the default unit, but you can convert other units to meters before inputting values.

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