1. What is the Volume of Truncated Icosidodecahedron?

The Volume of Truncated Icosidodecahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Icosidodecahedron. It is calculated based on the circumsphere radius using a specific mathematical formula.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Volume of Truncated Icosidodecahedron (m³)
• \( r_c \) — Circumsphere Radius of Truncated Icosidodecahedron (m)

Explanation: This formula calculates the volume of a truncated icosidodecahedron based on its circumsphere radius, using mathematical constants and operations including square roots.

3. Importance of Volume Calculation

Details: Calculating the volume of geometric shapes is fundamental in mathematics, engineering, and various scientific applications. It helps in understanding spatial properties and material requirements.

4. Using the Calculator

Tips: Enter the circumsphere radius in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is a Truncated Icosidodecahedron?
A: A truncated icosidodecahedron is an Archimedean solid with 62 faces: 30 squares, 20 regular hexagons, and 12 regular decagons.

Q2: What units should I use for the input?
A: The calculator uses meters for the circumsphere radius input, and outputs volume in cubic meters.

Q3: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values for more precise calculations.

Q4: What is the circumsphere radius?
A: The circumsphere radius is the radius of the sphere that contains the truncated icosidodecahedron such that all vertices lie on the sphere.

Q5: Are there any limitations to this calculation?
A: The formula assumes a perfect geometric shape and may not account for real-world imperfections or variations.