0
Yes.
The five platonic solids are the only regular three dimensional shapes:
Cube, Tetrahedron, Octahedron, Icosahedron, and Dodecahedron
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
A cube is the only prism which is a Platonic solid?
No; platonic solids are tetrahedron, cube, octahedron, dodecahedron, icosahedron.
Is a cone a Platonic solid?
No, a cone is not a Platonic solid. The Platonic solids are the five regular polyhedra: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.
What is a solid figure that has all of its faces congruent?
The Platonic Solids: Tetrahedron, cube, octahedron, dodecahedron and icosahedron.
Why does a Platonic solid look the same no matter which vertex you position at the top?
The quick answer: because of the high degree of symmetry inherent in the Platonic solids. They are vertex-uniform, edge-uniform and face-uniform. If you hold several models of the same shape up by any vertex, all the models will appear the same. The same goes for holding the models up by any edge, or by any face. Read the following for a little more detail. Many solids that are not Platonic have symmetry as well, but the Platonic solids have some special symmetrical properties. You can create what are called 'dual polyhedrons' for solids, but the duals for Platonic solids are unique. You can form a Platonic solid's dual polyhedron by making the midpoint of every face of the original Platonic solid a vertex of the dual solid within the original. If you start with a cube, a hexahedron really, and make a new solid within it having vertexes at the centers of the square faces of the cube, the solid within will be an octahedron. Tetrahedrons are self-dual, squares and octahedrons are dual with one another, and dodecahedrons and icosahedrons are dual with one another. The dual polyhedron of a Platonic solid is always another Platonic solid. This is difficult to visualize without aid. See link for some clarification. On the dual relationship of a cube [6 faces, 8 vertexes] and octahedron [8 faces, 6 vertexes] breaking down the numbers of faces and vertexes might help. Each of the 6 faces of a cube contains one of the vertexes of the octahedron, and each of the vertexes of a cube will be at the center of one of the faces of the octahedron.
What platonic solids do not have a triangular face?
A cube and a dodecahedron.
A cube is not a Platonic solid?
B.False
A cube is a Platonic solid?
True...
Which platonic solids are prisms?
A cube is the only platonic solid which is a prism.
Is a cube the only prism which is a Platonic solid?
No; platonic solids are tetrahedron, cube, octahedron, dodecahedron, icosahedron.
Is a cube the only prism that is a platonic solid?
No; platonic solids are tetrahedron, cube, octahedron, dodecahedron, icosahedron.
A cube is the only prism which is a Platonic solid?
No; platonic solids are tetrahedron, cube, octahedron, dodecahedron, icosahedron.
Is a cone a Platonic solid?
No, a cone is not a Platonic solid. The Platonic solids are the five regular polyhedra: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.
Which plantonic solid has six faces?
Not sure about plantonic, but the Platonic solid is a cube.
What are the names of the 5 platonic solid?
the cube, octahedron, tetrahedron. icosahedron, and the dodecahedron
What platonic solid is a pyramid?
The platonic solids are: a tetrahedron, a cube, an octahedron, dodecahedron and icosahedron. A pyramid has a base with triangles attached to it with a common vertex. The platonic solid that is a pyramid is a tetrahedron (a triangular based pyramid).
Is a geometric shape that falls into a number of groups including platonic solid and regular hexahedrons?
Cube
What is a solid figure that has all of its faces congruent?
The Platonic Solids: Tetrahedron, cube, octahedron, dodecahedron and icosahedron.
