Long Diagonal of Skewed Cuboid Calculator

Formula Used:

\[ d_{Long} = \sqrt{l_{Large}^2 + w_{Large}^2 + h^2} \]

Long Diagonal of Skewed Cuboid (d_Long):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Long Diagonal of Skewed Cuboid?

The Long Diagonal of Skewed Cuboid is the length of longest diagonal joining two non-adjacent vertices across the two sides of the Skewed Cuboid. It represents the maximum straight-line distance between any two points in the skewed cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ d_{Long} = \sqrt{l_{Large}^2 + w_{Large}^2 + h^2} \]

Where:

\( d_{Long} \) — Long Diagonal of Skewed Cuboid (m)
\( l_{Large} \) — Length of Large Rectangle of Skewed Cuboid (m)
\( w_{Large} \) — Width of Large Rectangle of Skewed Cuboid (m)
\( h \) — Height of Skewed Cuboid (m)

Explanation: This formula is derived from the 3D Pythagorean theorem, calculating the space diagonal of the skewed cuboid.

3. Importance of Long Diagonal Calculation

Details: Calculating the long diagonal is important in various engineering and architectural applications where determining the maximum span or longest measurement within a skewed cuboid structure is necessary.

4. Using the Calculator

Tips: Enter the length of large rectangle, width of large rectangle, and height in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between long diagonal and short diagonal?
A: The long diagonal spans the longest distance between opposite vertices, while the short diagonal spans a shorter distance between different vertices.

Q2: Can this formula be used for regular cuboids?
A: Yes, this formula works for both regular and skewed cuboids as it calculates the space diagonal.

Q3: What units should I use for the inputs?
A: The calculator accepts any consistent unit of measurement, but meters are recommended for SI units. The result will be in the same unit.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact, assuming precise input measurements. The calculator provides results with up to 6 decimal places.

Q5: Can this formula be applied to other 3D shapes?
A: This specific formula is designed for skewed cuboids. Other 3D shapes have different formulas for calculating their space diagonals.