Volume of a regular dodecahedron
You can see a new Flash version of the volume of a dodecahedron.
One eighth of a dodecahedron of side 2 has the same volume of a dodecahedron of side 1.
These Zome useful pieces of lengths
Where Phi is the golden ratio we've seen in the golden rectangle
The powers of Phi verify a relationship similar to the Fibonacci sequence:
With Zome we can build one eighth of a dodecahedron
We can consider the figure consisting of 1 cube, 3 wedges and 3 pyramids
The vertical control allows us to separate the parts where we are decomposing the figure.
We can rotate the figure by clicking and dragging.
The volume of each piece is easily calculated:
The volume of a dodecahedron is:
Adding the last column we get the volume of the dodecahedron:
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Volume of a regular dodecahedron (Flash version)
One eighth of a regular dodecahedon of edge 2 has the seim volume as a dodecahedron of edge 1.
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Regular dodecahedron
One eighth of a regular dodecahedon of edge 2 has the same volume as a dodecahedron of edge 1.
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The golden rectangle
A golden rectangle is made of an square and another golden rectangle.
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Volume of an octahedron
The volume of an octahedron is four times the volume of a tetrahedron. It is easy to calculate and then we can get the volume of a tetrahedron.
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The volume of a truncated octahedron
The truncated octahedron is an Archimedean solid. It has 8 regular hexagonal faces and 6 square faces. Its volume can be calculated knowing the volume of an octahedron.
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