Elongated Square Pyramid Calculation
Calculators and formulas for an elongated square pyramid (Johnson solid J8)
The elongated square pyramid has a square as its base. The sides of the elongated pyramid are bounded by 4 equilateral triangles and 4 squares. All edges have the same length. The elongated square pyramid is one of the Johnson solids (J8).
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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Elongated Square Pyramid Formulas
Volume (\(\small{V}\))
\(\displaystyle V= \left(1+\frac{\sqrt{2}}{6}\right)·a^3\) \(\displaystyle \;\;\;\;≈ 1.2357 ·a^3\)
Surface area (\(\small{S}\))
\(\displaystyle S= (5+\sqrt{3})· a^2\;\;\;\;≈ 6.732 ·a^2\)
Height (\(\small{h}\))
\(\displaystyle h=\left(1+\frac{\sqrt{2}}{2}\right) · a\;\;\;\;≈1.7071 ·a \)
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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