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The Length of Wedge Cuboid given Short Diagonal is the measurement of the longer pair of edges of the base rectangular face of the Wedge Cuboid, calculated using the short diagonal, width, and short height of the cuboid.
The calculator uses the formula:
Where:
Explanation: This formula derives from the Pythagorean theorem applied in three dimensions, where the short diagonal forms the hypotenuse of a right triangle with the width, short height, and length as the other sides.
Details: Accurate length calculation is essential for determining the volume, surface area, and other geometric properties of wedge cuboids in various engineering and architectural applications.
Tips: Enter all values in meters. Ensure that the short diagonal is greater than the square root of the sum of squares of width and short height to obtain a real number result.
Q1: What units should be used for input values?
A: All input values should be in consistent units, typically meters (m), for accurate results.
Q2: What if the result is not a real number?
A: If the value under the square root is negative, it indicates that the input values are inconsistent with a valid wedge cuboid geometry.
Q3: Can this formula be used for other types of cuboids?
A: This specific formula is designed for wedge cuboids where the height varies along the length, creating a slanted top face.
Q4: How precise should the input values be?
A: For practical applications, input values should be measured with appropriate precision, typically to at least three decimal places.
Q5: Are there limitations to this formula?
A: This formula assumes ideal geometric conditions and may not account for material deformations or manufacturing tolerances in real-world objects.