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Width of Wedge Cuboid given Short Diagonal Calculator

Formula Used:

\[ w = \sqrt{d_{Short}^2 - l^2 - h_{Short}^2} \]

m
m
m

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1. What is the Width of Wedge Cuboid given Short Diagonal?

The Width of Wedge Cuboid given Short Diagonal is the length of the shorter pair of edges of the base rectangular face of the Wedge Cuboid, calculated using the short diagonal, length, and short height of the wedge cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ w = \sqrt{d_{Short}^2 - l^2 - h_{Short}^2} \]

Where:

Explanation: This formula derives the width by applying the Pythagorean theorem in three dimensions, using the relationship between the short diagonal and the other dimensions of the wedge cuboid.

3. Importance of Width Calculation

Details: Calculating the width of a wedge cuboid is essential in geometry and engineering applications where precise dimensional measurements are required for construction, manufacturing, or spatial analysis.

4. Using the Calculator

Tips: Enter the short diagonal, length, and short height of the wedge cuboid in meters. All values must be positive numbers. The calculator will compute the width using the mathematical formula.

5. Frequently Asked Questions (FAQ)

Q1: What is a Wedge Cuboid?
A: A wedge cuboid is a three-dimensional geometric shape that resembles a rectangular prism with one of its faces slanted, creating a wedge-like structure.

Q2: What units should I use for the inputs?
A: The calculator uses meters (m) as the default unit. Ensure all measurements are in consistent units for accurate results.

Q3: Can this formula be used for any wedge cuboid?
A: Yes, this formula applies to all wedge cuboids as long as the short diagonal, length, and short height are known and valid.

Q4: What if I get a negative value inside the square root?
A: A negative value indicates that the input values do not form a valid wedge cuboid. Please check your measurements and ensure they are correct.

Q5: How precise are the results?
A: The results are rounded to four decimal places for clarity, but the calculation uses precise mathematical operations for accuracy.

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