Pyramid Frustum Calculation
Calculator and formulas for calculating a regular pyramid frustum"
This function calculates the properties of a regular pyramid frustum".
To perform the calculation, enter the base and top length, height and number of vertices of the pyramid. Then click the 'Calculate' button.
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Formulas for the regular truncated pyramid
Slant height (\(\small{s}\))
\(\displaystyle s=\sqrt{\frac{1}{4} · cot^2\left(\frac{π}{n} \right) · ( a - b )^2 + h^2} \)
Edge length (\(\small{e}\))
\(\displaystyle e =\sqrt{\frac{4 · s^2 + ( a - b )^2 }{4}}\)
Base and top area (\(\small{A}\))
\(\displaystyle A = n · \frac{a^2 + b^2}{4 · tan(\frac{π}{n})} \)
Slant area (\(\small{A_s}\))
\(\displaystyle A_s = \frac{(a + b) · s}{2} \)
Lateral Surface (\(\small{A_L}\))
\(\displaystyle A_L = n · A_s \)
Surface area (\(\small{S}\))
\(\displaystyle S = A+ A_L \)
Perimeter (\(\small{P}\))
\(\displaystyle P = n ·a \)
Volumen (\(\small{P}\))
\(\displaystyle V = \frac{h}{3} · \left( \frac{n ·( a^2 + b^2) }{ 4 · tan(\frac{π}{n})} + \sqrt{\frac{n^2 · a^2 · b^2}{(4 · tan(\frac{π}{n}))^2}} \right) \)
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