Heptagonal Pyramid Calculation

This function calculates the properties of a regular heptagonal pyramid.

To perform the calculation, enter the base length and the height of the pyramid. Then click the 'Calculate' button.

Pyramid Calculator  Input Delete Entries Base side length a Height h Decimal places 0 1 2 3 4 6 8 10  Results Slant height s Edge length e Base area A Slant area As Lateral Surface AL Surface area S Perimeter P Volume V

Regular hexagonal pyramid formulas

Slant height

\(\displaystyle s = \sqrt{h^2 + \frac{a^2 · cot^2(\frac{π}{7} )}{4}} \)

Edge length

\(\displaystyle e =\sqrt{s^2 + \frac{a^2}{4}}\)

Base area

\(\displaystyle A = \frac{7 · a^2 }{ 4 · tan(\frac{π}{7}) } \)

Slant areae

\(\displaystyle A_s = \frac{a · s }{ 2} \)

Lateral Surface

\(\displaystyle A_L = \frac{ 7 · a · s }{ 2} \)

Surface area

\(\displaystyle S = A+ A_m \)

Perimeter

\(\displaystyle P = 7 ·a \)

Volume

\(\displaystyle V = \frac{A · h}{3} \)