1. What is Edge Length of Rhombohedron?

The edge length of a rhombohedron is the distance between any pair of adjacent vertices of the polyhedron. It is a fundamental geometric measurement that defines the size and proportions of the rhombohedron.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( \theta \) — Acute Angle of Rhombohedron (radians)
• \( RA/V \) — Surface to Volume Ratio (1/m)
• \( \sin \) — Sine trigonometric function
• \( \cos \) — Cosine trigonometric function
• \( \sqrt \) — Square root function

Explanation: This formula calculates the edge length based on the acute angle and surface-to-volume ratio of the rhombohedron, using trigonometric relationships.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the geometric properties of rhombohedrons, including volume, surface area, and spatial relationships in three-dimensional geometry.

4. Using the Calculator

Tips: Enter the acute angle in radians and the surface-to-volume ratio in 1/m. Both values must be positive numbers for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a rhombohedron?
A: A rhombohedron is a three-dimensional figure with six rhombus-shaped faces, where all edges have equal length.

Q2: Why is the angle measured in radians?
A: Radians are the standard unit for angle measurement in mathematical calculations involving trigonometric functions.

Q3: What is surface-to-volume ratio?
A: Surface-to-volume ratio is the ratio of the total surface area of a three-dimensional object to its volume, measured in 1/m.

Q4: Can this calculator handle obtuse angles?
A: This specific formula is designed for acute angles of rhombohedron. For obtuse angles, different formulas may apply.

Q5: How accurate are the calculations?
A: The calculations are mathematically precise based on the input values, with results rounded to 6 decimal places for clarity.