MATHEMATICS

# Calculator for Icosahedron Volume

This calculator will help you find the volume of a icosahedron. The formula used in this calculator is listed below.

To use this calculator, you will need to know the edge length.

To give you a better mental model of the icosahedron, you can look at the visualization below. You can navigate the 3d-model of the icosahedron as you like.

## Results

Volume = 2,181.695

You might also be interested in calculating the Surface Area for an Icosahedron

## Icosahedron Volume Formula

Formula variable explanation:

• I represents the volume.
• a represents the Edge length.

### LaTeX formula

If you are working in a TeX based editor you could use this TeX formula to calculate the icosahedron volume.

I=\frac{5}{12}\cdot{ a}^{3}\cdot\left(3+\sqrt{5}\right)

## How To Calculate The Icosahedron Volume Your Self

Calculating the volume is rather simple when you know the formula presented above. Follow these steps:

1. Write down this formula:

2. Then change the following variables with your values:
1. a shall be changed with the Edge length of your icosahedron. As an example a could be changed to 10.