Calculator for Surface Area for an Icosahedron

Alternative name: Twenty Sided Cube Surface Area Calculator

This calculator will help you find the surface area 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.


Surface Area = 86.603

You might also be interested in calculating the Icosahedron Volume

Icosahedron Surface Area Formula

Formula variable explanation:

  • I represents the surface area.
  • 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 surface area.

I=5\cdot\sqrt{3\cdot{ a}^{2}}

How To Calculate The Icosahedron Surface Area Your Self

Calculating the surface area 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.
  3. Now you can enter this in to your calculator and you will get your answer.