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.
Results
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:
Write down this formula:
- Then change the following variables with your values:
- e shall be changed with the Base edge of your pentagonal prism. As an example e could be changed to 10.
- h shall be changed with the Height of your pentagonal prism. As an example h could be changed to 10.
- Now you can enter this in to your calculator and you will get your answer.