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Icosahedron

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Q: It has 20 congruent equilateral triangles as faces?
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What shape has 20 congruent equilateral triangles as faces?

An Icosahedron.


What 3d shape has 20 congruent equilateral triangles as faces?

An icosahedron.


What has 8 congruent equilateral triangles as faces and 6 vertices?

A solid with 8 faces is an octahedron.As all faces are the same it is a regular octahedron.As such it is one of the five platonic solids - the only five 3D objects that can be regular: the tetrahedron (4 equilateral triangles for the faces), the hexahedron (usually called a cube with 6 square faces), the octahedron (as asked, 8 equilateral triangles for the faces), dodecahedron (12 regular pentagons as faces), icosahedron (20 equilateral triangles as faces).


What is the name of five platonic solids?

1~Tetrahedron *4 faces (made of equilateral triangles) *6 edges *5 vertices 2~Hexahedron (cube) *6 faces (made of squares) *12 edges *8 vertices 3~Octrahedron *8 faces (made up of equilateral triangles) *12 edges *6 vertices 4~Icosahedron *20 faces (made of equilateral triangles) *30 edges *12 verticies 5~Dodecahedron *12 faces (made of pentagons) *30 edges *20 vertices.


How many angles does the icosahedron have?

A regular icosahedron has 20 faces (equilateral triangles), 30 edges and 12 vertices.


How many equilateral faces does a icosahedron have?

It has 20 identical equilateral triangular faces.


What is the shape with each face as an equilateral triangle?

A four sided figure would be a tetrahedron and a 20 sided would be an icosahedron. They both have equilateral triangles for faces so your question is a little incomplete.


Can two triangles be similar but not congruent?

Yes. The triangles have the same angle measures but different, similar side lengths. Think of two different sized equilateral triangles. One can have side lengths of 6 inches while the other has side lengths of 20 inches, but they still have congruent angles of 60 degrees. Each ratio of side lengths is equal [6/20=6/20=6/20].


Can you name the 3-dimensional shape with 20 congruent triangles as faces?

-17


What are the three types of polygons that can be the faces of a Platonic solid?

The polygons are the equilateral triangle, the square, and the regular pentagon. The faces of these platonic solids are made from the following polygons: tetrahedron - 4 triangles cube - 6 squares octahedron - 8 triangles dodecahedron - 12 pentagons icosahedron - 20 triangles


What solid figure has all triangle faces?

There are several: a tetrahedron with 4 equilateral triangles. An 8-sided solid (think of 2 Egyptian pyramids, turn one upside down and put the two square bases together). A 20-sided also has equilateral triangles.


What are platonic solids?

Tetrahedron, Hexahedron(cube), Octahedron, Dodecahedron, and Icosahedron