Regular Prism Calculation

Online calculator and formulas for calculating a regular prism

Regular Prism Calculator


This function calculates the height or volume of a regular regular prism.

To calculate, enter a side length of the base and the volume or height. Then click on the 'Calculate' button.


Regular Prism Calculation

 Input
Number of vertices (n)
Base side length (a)
Decimal places
 Results
Height
Surface
Base area
Prism

Formula for a regular prism


Surface

\(\displaystyle S = \frac{2 \cdot n \cdot a^2}{ 4 \cdot tan\left(\frac{π}{n}\right)} + n \cdot a \cdot h\)

Base area

\(\displaystyle A = \frac{n \cdot a^2}{ 4 \cdot tan\left(\frac{π}{n}\right)} \)

Height

\(\displaystyle h= \frac{4 \cdot V \cdot tan\left(\frac{π}{n}\right)}{n \cdot a^2}\)

Volume

\(\displaystyle V= \frac{n \cdot h \cdot a^2}{ 4 \cdot tan\left(\frac{π}{n}\right)}\)


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