Calculator for Surface Area of a Pentagonal Prism

Alternative name: Five Sided Box Surface Area Calculator

This calculator will help you find the surface area 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.


Surface Area = 844.095

You might also be interested in calculating the Pentagonal Prism Volume

Pentagonal Prism Surface Area Formula

Formula variable explanation:

  • P represents the surface area.
  • 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 surface area.

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

How To Calculate The Pentagonal Prism 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. 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.