Triangular Cupola Calculation
Calculators and formulas for a triangular cupola (Johnson solid J3)
The triangular cupola has an equilateral hexagon as its base and an equilateral triangle as its top. The sides of the cupola are bounded by three squares and three equilateral triangles. All edges have the same length. The triangular cupola is one of the Johnson solids (J3).
To perform the calculation select the property you know from the menu and enter its value. Then click on the 'Calculate' button.
|
Triangular Cupola Formulas
Volume (\(\small{V}\))
\(\displaystyle V=\frac{5}{6}·a^3·\sqrt{2} \;\;\;\; ≈ 1.1785 · a^3\)
Surface area (\(\small{S}\))
\(\displaystyle S= \frac{a^2}{2} · (6+5 ·\sqrt{3}) \;\;\;\; ≈ 7.33 ·a^2\)
Height (\(\small{h}\))
\(\displaystyle h= \frac{\sqrt{6}}{3}· a \;\;\;\; ≈0.8165·a\)
Circumradius (\(\small{r}\))
\(\displaystyle r=a \)
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
|
|