Height of Bent Cuboid given Volume, Total Length and Width Calculator

Formula Used:

\[ Height\ of\ Bent\ Cuboid = \frac{Volume\ of\ Bent\ Cuboid}{(Total\ Length\ of\ Bent\ Cuboid - Width\ of\ Bent\ Cuboid) \times Width\ of\ Bent\ Cuboid} \] \[ h = \frac{V}{(l_{Total} - w) \times w} \]

Volume of Bent Cuboid (V):

m³

Total Length of Bent Cuboid (lTotal):

Width of Bent Cuboid (w):

Height of Bent Cuboid (h):

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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:

\[ h = \frac{V}{(l_{Total} - w) \times w} \]

Where:

\( h \) — Height of Bent Cuboid (m)
\( V \) — Volume of Bent Cuboid (m³)
\( l_{Total} \) — Total Length of Bent Cuboid (m)
\( w \) — Width of Bent Cuboid (m)

Explanation: This formula calculates the height of a bent cuboid based on its volume, total length, and width, assuming the cuboid is bent at a right angle.

3. Importance of Height Calculation

Details: Calculating the height of a bent cuboid is essential in various engineering and architectural applications where space optimization and structural integrity are crucial.

4. Using the Calculator

Tips: Enter volume in cubic meters, total length in meters, and width in meters. All values must be positive numbers, and total length must be greater than width.

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 its length.

Q2: Why must Total Length be greater than Width?

A: Total Length must be greater than Width to ensure the mathematical validity of the formula and the physical possibility of the bent cuboid shape.

Q3: Can this formula be used for other shapes?
A: No, this specific formula is designed specifically for calculating the height of a bent cuboid with the given parameters.

Q4: What units should I use?
A: The calculator uses meters for length dimensions and cubic meters for volume. Ensure consistent units for accurate results.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values, assuming ideal geometric conditions.