1. What is Diagonal of Truncated Square?

The diagonal of a truncated square is a line segment joining two opposite vertices of the truncated square. A truncated square is a square with its corners cut off, creating a shape with eight sides.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( d \) — Diagonal of Truncated Square (m)
• \( h \) — Height of Truncated Square (m)
• \( S \) — Side of Truncated Square (m)

Explanation: This formula is derived from the Pythagorean theorem, where the diagonal forms the hypotenuse of a right triangle with the height and side as the other two sides.

3. Importance of Diagonal Calculation

Details: Calculating the diagonal of a truncated square is important in various geometric applications, architectural designs, and engineering projects where precise measurements are required for structural integrity and aesthetic purposes.

4. Using the Calculator

Tips: Enter the height and side of the truncated square in meters. Both values must be positive numbers. The calculator will compute the diagonal length using the formula.

5. Frequently Asked Questions (FAQ)

Q1: What is a truncated square?
A: A truncated square is a geometric shape formed by cutting off the corners of a square, resulting in an octagon with equal sides.

Q2: Can this formula be used for any truncated square?
A: Yes, this formula applies to all truncated squares where the height and side measurements are known.

Q3: What units should I use for the inputs?
A: The calculator accepts any consistent unit of measurement, but meters are recommended for consistency with the result display.

Q4: How accurate is the calculation?
A: The calculation is mathematically precise based on the inputs provided. The result is rounded to 6 decimal places for practical use.

Q5: Can I use this for 3D objects?
A: This formula specifically calculates the diagonal of a 2D truncated square. For 3D objects, different formulas would be required.