Square Pyramid Calculation

The square pyramid has a square as its base. The sides of the pyramid are bounded by four equilateral triangles. All edges have the same length. The square pyramid is one of the Johnson solids (J₁).

To perform the calculation select the property you know from the menu and enter its value. Then click on the 'Calculate' button.

Square Pyramid Calculator  Input Delete Entry Edge length Volume Surface area Height Decimal places 0 1 2 3 4 6   Results Edge length a Volume V Surface area S Height h

Formulas for Square Cupolas

Volume

\(\displaystyle V=\frac{\sqrt{2}}{6}·a^3 \;\;\;\;≈ 0.2357 ·a^3\)

Surface area

\(\displaystyle S= (1+\sqrt{3})· a^2\;\;\;\;≈ 2.732 ·a^2\)

Height

\(\displaystyle h=\frac{\sqrt{2}}{2} · a\;\;\;\;≈0.7071 ·a \)