maths.dodecahedron¶
A regular dodecahedron is a three-dimensional figure made up of 12 pentagon faces having the same equal size.
Functions¶
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Calculates the surface area of a regular dodecahedron |
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Calculates the volume of a regular dodecahedron |
Module Contents¶
- maths.dodecahedron.dodecahedron_surface_area(edge: float) float¶
Calculates the surface area of a regular dodecahedron a = 3 * ((25 + 10 * (5** (1 / 2))) ** (1 / 2 )) * (e**2) where: a –> is the area of the dodecahedron e –> is the length of the edge reference–>”Dodecahedron” Study.com <https://study.com/academy/lesson/dodecahedron-volume-surface-area-formulas.html>
- Parameters:
edge (float) – length of the edge of the dodecahedron
- Returns:
the surface area of the dodecahedron as a float
Tests: >>> dodecahedron_surface_area(5) 516.1432201766901 >>> dodecahedron_surface_area(10) 2064.5728807067603 >>> dodecahedron_surface_area(-1) Traceback (most recent call last):
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ValueError: Length must be a positive.
- maths.dodecahedron.dodecahedron_volume(edge: float) float¶
Calculates the volume of a regular dodecahedron v = ((15 + (7 * (5** (1 / 2)))) / 4) * (e**3) where: v –> is the volume of the dodecahedron e –> is the length of the edge reference–>”Dodecahedron” Study.com <https://study.com/academy/lesson/dodecahedron-volume-surface-area-formulas.html>
- Parameters:
edge (float) – length of the edge of the dodecahedron
- Returns:
the volume of the dodecahedron as a float
Tests: >>> dodecahedron_volume(5) 957.8898700780791 >>> dodecahedron_volume(10) 7663.118960624633 >>> dodecahedron_volume(-1) Traceback (most recent call last):
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ValueError: Length must be a positive.