MATHEMATICS

# 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**

## 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:

**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.