Calculator for Enneagonal Prism Volume

Alternative name: Nine Sided Box Volume Calculator

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

To use this calculator, you will need to know the base edge and height.

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


Volume = 6,181.824

You might also be interested in calculating the Surface Area of an Enneagonal Prism

Enneagonal Prism Volume Formula

Formula variable explanation:

  • E represents the volume.
  • e represents the Base edge.
  • h represents the Height.

LaTeX formula

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

E=\frac{9}{4}\cdot{ e}^{2}\cdot\cot\left(\frac{\pi}{9}\right)\cdot\mathrm{h}

How To Calculate The Enneagonal Prism 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. e shall be changed with the Base edge of your enneagonal prism. As an example e could be changed to 10.
    2. h shall be changed with the Height of your enneagonal prism. As an example h could be changed to 10.
  3. Now you can enter this in to your calculator and you will get your answer.