1. What is the Edge Length of Truncated Cube?

The Edge Length of Truncated Cube is the length of any edge of the Truncated Cube, which is an Archimedean solid created by truncating the corners of a cube.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_e \) — Edge Length of Truncated Cube (m)
• \( l_{e(Cube)} \) — Cubic Edge Length of Truncated Cube (m)
• \( \sqrt{2} \) — Square root of 2 (approximately 1.4142)

Explanation: This formula calculates the edge length of a truncated cube based on the edge length of the original cube from which it was formed by truncating the corners.

3. Importance of Edge Length Calculation

Details: Calculating the edge length of a truncated cube is important in geometry, architecture, and 3D modeling for understanding the properties and dimensions of this specific polyhedron.

4. Using the Calculator

Tips: Enter the cubic edge length of the truncated cube in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is a truncated cube?
A: A truncated cube is an Archimedean solid obtained by truncating the corners of a cube, resulting in 14 faces: 8 regular hexagons and 6 regular octagons.

Q2: Why is the formula divided by (1 + √2)?
A: This factor accounts for the geometric relationship between the original cube's edge length and the resulting truncated cube's edge length after corner truncation.

Q3: Can this formula be used for other truncated polyhedra?
A: No, this specific formula applies only to truncated cubes. Other truncated polyhedra have different geometric relationships.

Q4: What are the applications of truncated cubes?
A: Truncated cubes are used in architecture, molecular structures, game design, and various mathematical and geometric applications.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the geometric properties of the truncated cube, assuming exact input values.