Calculator and formulas for calculating a regular pentagonal based pyramid
This function calculates the properties of a regular pentagonal pyramid.
To perform the calculation, enter the base length and the height of the pyramid. Then click the 'Calculate' button.
|
Slant height
\(\displaystyle s = \sqrt{h^2 + \frac{a^2 · cot^2(\frac{π}{5} )}{4}} \)
Edge length
\(\displaystyle e =\sqrt{s^2 + \frac{a^2}{4}}\)
Base area
\(\displaystyle A = \frac{5 · a^2 }{ 4 · tan(\frac{π}{5}) } \)
Slant areae
\(\displaystyle A_s = \frac{a · s }{ 2} \)
Lateral Surface
\(\displaystyle A_L = \frac{ 5 · a · s }{ 2} \)
Surface area
\(\displaystyle S = A+ A_m \)
Perimeter
\(\displaystyle P = 5 ·a \)
Volume
\(\displaystyle V = \frac{A · h}{3} \)
|