1. What is the Height of Truncated Square?

The Height of Truncated Square is the total distance between the lowest and highest points of the Truncated Square. It represents the vertical measurement of this geometric shape.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h \) — Height of Truncated Square (m)
• \( S \) — Side of Truncated Square (m)
• \( P \) — Perimeter of Truncated Square (m)
• \( \sqrt{2} \) — Square root of 2 (approximately 1.4142)

Explanation: The formula calculates the height by adding the side length to the product of the square root of 2 and the difference between one-fourth of the perimeter and the side length.

3. Importance of Height Calculation

Details: Calculating the height of a truncated square is important in geometry, architecture, and various engineering applications where precise measurements of this shape are required.

4. Using the Calculator

Tips: Enter the side length and perimeter of the truncated square in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a truncated square?
A: A truncated square is a square that has had its corners cut off, creating a shape with eight sides (four longer sides and four shorter sides).

Q2: Why is the square root of 2 used in this formula?
A: The square root of 2 appears because it represents the diagonal length of a unit square, which is fundamental to the geometry of truncated squares.

Q3: Can this formula be used for any truncated square?
A: Yes, this formula applies to all regular truncated squares where the corner cuts are made at 45-degree angles.

Q4: What are the units of measurement for this calculation?
A: The calculator uses meters, but the formula works with any consistent unit of length (cm, mm, inches, etc.).

Q5: How accurate is this calculation?
A: The calculation is mathematically precise when the input values are accurate. The calculator provides results with up to 6 decimal places for precision.