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

The Width of Wedge Cuboid given Long Diagonal is the length of the shorter pair of edges of the base rectangular face of the Wedge Cuboid, calculated using the long diagonal, length, and long height of the Wedge Cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( w \) — Width of Wedge Cuboid (m)
• \( d_{Long} \) — Long Diagonal of Wedge Cuboid (m)
• \( l \) — Length of Wedge Cuboid (m)
• \( h_{Long} \) — Long Height of Wedge Cuboid (m)

Explanation: This formula is derived from the Pythagorean theorem applied in three dimensions, where the long diagonal is the hypotenuse of a right-angled triangle formed by the length, width, and long height.

3. Importance of Width Calculation

Details: Calculating the width of a wedge cuboid is essential in geometry and engineering for determining the dimensions of wedge-shaped objects, ensuring proper fit and function in various applications.

4. Using the Calculator

Tips: Enter the long diagonal, length, and long height in meters. All values must be positive and valid (greater than zero).

5. Frequently Asked Questions (FAQ)

Q1: What is a Wedge Cuboid?
A: A Wedge Cuboid is a three-dimensional geometric shape with a rectangular base and a sloping face, resembling a wedge.

Q2: Why is the square root function used in the formula?
A: The square root function is used to solve for the width from the squared terms in the Pythagorean theorem.

Q3: Can this formula be used for any cuboid?
A: This specific formula is designed for Wedge Cuboids where the long diagonal is known along with the length and long height.

Q4: What are the units of measurement?
A: The calculator uses meters (m) for all inputs and outputs, but the formula is unit-agnostic as long as consistent units are used.

Q5: What if the result is imaginary?
A: If the result under the square root is negative, it indicates that the input values do not form a valid Wedge Cuboid with the given dimensions.