Regular Prism Calculation
Online calculator and formulas for calculating a regular prism
This function calculates the height or volume of a regular regular prism.
To calculate, enter a side length of the base and the volume or height. Then click on the 'Calculate' button.
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Formula for regular prism
The (\(\small{n}\)) stands for the number of corners.
Surface (\(\small{S}\))
\(\displaystyle S = \frac{2 \cdot n \cdot a^2}{ 4 \cdot tan\left(\frac{π}{n}\right)} + n \cdot a \cdot h\)
Base area (\(\small{A}\))
\(\displaystyle A = \frac{n \cdot a^2}{ 4 \cdot tan\left(\frac{π}{n}\right)}\)
Height (\(\small{h}\))
\(\displaystyle h= \frac{4 \cdot V \cdot tan\left(\frac{π}{n}\right)}{n \cdot a^2}\)
Volume (\(\small{V}\))
\(\displaystyle V= \frac{n \cdot h \cdot a^2}{ 4 \cdot tan\left(\frac{π}{n}\right)}\)
Cuboid
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Square Pillar
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Antiprism
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Hexagonal prism
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Triangular prism
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Regular prism
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Oblique prism
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Ramp
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Anticube
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Wedge
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Right Wedge
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Rhombohedron
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Parallelepiped
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Tetrahedron, irregular
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Tetragonal Trapezohedron
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Pentagonal Trapezohedron
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Prismatoid
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Stellated Octahedron
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Stellated Dodecahedron
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Great Stellated Dodecahedron
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Great Dodecahedron
Tetrahedron • Cube • Octahedron • Dodecahedron • Icosahedron
Tetrahedron • Cube • Octahedron • Dodecahedron • Icosahedron
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