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Because a tetrahedron is a triangular based pyramid that has 4 identical faces and 4 faces meet at all the vertices.

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9y ago
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9y ago

Platonic solid basically means that the surfaces are all of the same shape, all regular polygons, and that all the angles are the same.

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Q: Why is a tetrahedron a platonic solid?
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Related questions

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 trapezoid a platonic solid?

A trapezoid is not a platonic solid. There are only five platonic solids. They are the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron.


What is a platonic solid with 4 faces called?

A tetrahedron.


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.


Platonic solid that's also a pyramid?

It is a tetrahedron that is a triangular based pyramid


Which Platonic solid has four faces that are equilateral triangles?

tetrahedron


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.


The only Platonic solid with less than five faces is what?

tetrahedron


What are the names of the 5 platonic solid?

the cube, octahedron, tetrahedron. icosahedron, and the dodecahedron


Which platonic solid would be most sturdy?

My money is on the tetrahedron, triangles tend to be very sturdy.