Square Pyramid Calculation
Calculators and formulas for
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.
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Square Pyramid Formulas
Volume (\(\small{V}\))
\(\displaystyle V=\frac{\sqrt{2}}{6}·a^3 \;\;\;\;≈ 0.2357 ·a^3\)
Surface area (\(\small{S}\))
\(\displaystyle S= (1+\sqrt{3})· a^2\;\;\;\;≈ 2.732 ·a^2\)
Height (\(\small{h}\))
\(\displaystyle h=\frac{\sqrt{2}}{2} · a\;\;\;\;≈0.7071 ·a \)
Square Pyramid • Pentagonal Pyramid • Triangular Cupola • Square Cupola • Pentagonal Cupola • Rotunda • Elongated Triangular Pyramid • Elongated Square Pyramid • Elongated Pentagonal Pyramid • Triangular Bipyramid • Pentagonal Bipyramid • Elongated Square Bipyramid • Gyrobifastigium • Gyroelongated Square Dipyramid • Snub Disphenoid
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