MATHEMATICS

Calculator for Pentagonal Prism Volume

Alternative name: Five Sided Box Volume Calculator

This calculator will help you find the volume of a pentagonal 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 pentagonal prism, you can look at the visualization below. You can navigate the 3d-model of the pentagonal prism as you like.

Results

Volume = 1,720.477

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Pentagonal Prism Volume Formula

Formula variable explanation:

  • P 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 pentagonal prism volume.

P=\frac{1}{4}\cdot\sqrt{5\cdot\left(5+2\cdot\sqrt{5}\right)}\cdot{ e}^{2}\cdot\mathrm{h}

How To Calculate The Pentagonal 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 pentagonal prism. As an example e could be changed to 10.
    2. h shall be changed with the Height of your pentagonal 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.