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Q: How many triangles can be formed by joining the vertices of a cube which do not lie on the faces?

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An octahedron.

It has two congruent hexagonal faces that are parallel to one another and six rectangular faces joining these together. A hexagonal prism has 8 faces, 12 vertices and 18 edges.It has two congruent hexagonal faces that are parallel to one another and six rectangular faces joining these together. A hexagonal prism has 8 faces, 12 vertices and 18 edges.It has two congruent hexagonal faces that are parallel to one another and six rectangular faces joining these together. A hexagonal prism has 8 faces, 12 vertices and 18 edges.It has two congruent hexagonal faces that are parallel to one another and six rectangular faces joining these together. A hexagonal prism has 8 faces, 12 vertices and 18 edges.

A triangular prism

Tetrahedron

Icosahedron are a shape with 20 faces, 30 edges and 12 vertices. All the faces are triangles.

Related questions

5 faces: 2 triangular faces, parallel to each other. 3 rectangular faces, joining the two triangles together. 6 vertices: These may be viewed as two triplets forming two triangles. 9 edges: Three edges along the boundaries of each triangle, and three more joining the corresponding vertices.

They can have faces which are triangles, quadrilaterals, pentagons, hexagons or heptagons. It has 8 faces and can have 6 to 12 vertices.

Icosahedron are a shape with 20 faces, 30 edges and 12 vertices. All the faces are triangles.

octahedron

An octahedron.

Icosahedron are a shape with 20 faces, 30 edges and 12 vertices. All the faces are triangles.

Equilateral triangles

It has two congruent hexagonal faces that are parallel to one another and six rectangular faces joining these together. A hexagonal prism has 8 faces, 12 vertices and 18 edges.It has two congruent hexagonal faces that are parallel to one another and six rectangular faces joining these together. A hexagonal prism has 8 faces, 12 vertices and 18 edges.It has two congruent hexagonal faces that are parallel to one another and six rectangular faces joining these together. A hexagonal prism has 8 faces, 12 vertices and 18 edges.It has two congruent hexagonal faces that are parallel to one another and six rectangular faces joining these together. A hexagonal prism has 8 faces, 12 vertices and 18 edges.

A triangular prism

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.

Icosahedron are a shape with 20 faces, 30 edges and 12 vertices. All the faces are triangles.

It will have 5 faces; 4 triangles on the sides and 1 square as the base. The base itself will have 4 equal sides. There will also be 5 vertices; 4 on the base and 1 where the triangular faces intersect. Finally, there will be 8 sides; 4 connecting the triangles and for joining them to the square base.