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

Formula Used:

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

Space Diagonal of Bent Cuboid:

Total Length of Bent Cuboid:

Second Partial Length of Bent Cuboid:

Height of Bent Cuboid:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Height of Bent Cuboid?

The 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:

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

Where:

\( h \) — Height of Bent Cuboid (m)
\( d_{Space} \) — Space Diagonal of Bent Cuboid (m)
\( l_{Total} \) — Total Length of Bent Cuboid (m)
\( l_{Second\ Partial} \) — Second Partial Length of Bent Cuboid (m)

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

3. Importance of Height Calculation

Details: Calculating the height of a bent cuboid is important in various engineering and architectural applications where precise dimensional measurements are required for structural integrity and design accuracy.

4. Using the Calculator

Tips: Enter space diagonal, total length, and second partial length in meters. All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

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

Q2: How is Space Diagonal defined?
A: Space Diagonal of Bent Cuboid is the line segment connecting two vertices that are not on the same face.

Q3: What is Total Length of Bent Cuboid?
A: Total Length of Bent Cuboid is addition of two lengths of the parts of Bent Cuboid and equal to the length of the cuboid which is bent to form Bent Cuboid.

Q4: What is Second Partial Length?
A: Second Partial Length of Bent Cuboid is outer edge of vertical part of Bent Cuboid standing upright, it is equal to the length of second part of Bent Cuboid.

Q5: Are there any limitations to this formula?
A: This formula assumes perfect geometric conditions and may not account for material thickness or manufacturing tolerances in real-world applications.