Elongated Triangular Pyramid Calculation
Calculators and formulas for an elongated triangular pyramid (Johnson solid J7)
The elongated triangular pyramid has an equilateral triangle as its base. The sides of the elongated pyramid are bounded by 3 equilateral triangles and 3 squares. All edges have the same length. The elongated triangular pyramid is one of the Johnson solids (J7)
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 Triangular Pyramid Formulas
Volume (\(\small{V}\))
\(\displaystyle V= \left(\frac{\sqrt{2}+3·\sqrt{3}}{12}\right)·a^3\) \(\displaystyle \;\;\;\;≈ 0.5509 ·a^3\)
Surface area (\(\small{S}\))
\(\displaystyle S= (3+\sqrt{3})· a^2\;\;\;\;≈ 4.732 ·a^2\)
Height (\(\small{h}\))
\(\displaystyle h=\left(1+\frac{\sqrt{6}}{3}\right) · a\;\;\;\;≈1.8165 ·a \)
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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