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cubes, prisms, dodecahedrons...
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Which polyhedrons have fewer faces than vertices?
Any polyhedron other than a pyramid.
Which polyhedron has fewer faces than verticies?
Prism.
Which polyhedron has the fewer number of faces than vertexes?
Any member of the prism family.
What mathematician proved that the sum of the number of faces and vertices of a polyhedron is two more than the number of its edges?
Euler.
How many faces and vertices does a gemstone have with 22 edges?
The number of vertices and faces is 2 more than the number of Edges according to Euler's formula. So a gemstone with 22 edges must have a total of 24 faces and vertices.
Which polyhedrons have fewer faces than vertices?
Any polyhedron other than a pyramid.
Which polyhedron has fewer faces than verticies?
Prism.
Which polyhedron has more faces than a hexahedron but fewer faces than an dodecahedron?
octahedron
Which polyhedron has more faces than an octahedron but fewer faces than an icosahedron?
A dodecahedron
Which polyhedron has more faces than a tetrahedron but fewer faces than an octahedron?
Hexahedron
If a polyhedron has 10 more edges than vertices how many faces does it have?
For all polyhedra: vertices + faces = edges + 2 The given fact is: edges = vertices + 10 → vertices + faces = vertices + 10 + 2 → faces = 12
What soild has fewer than 9 vertices?
Tetrahedron- (4 faces, 4 vertices) Octahedron- (8 faces, 6 vertices) Cube- (6 faces, 8 vertices)
Which polyhedron has the fewer number of faces than vertexes?
Any member of the prism family.
What mathematician proved that the sum of the number of faces and vertices of a polyhedron is two more than the number of its edges?
Euler.
How many faces and vertices does a gemstone have with 22 edges?
The number of vertices and faces is 2 more than the number of Edges according to Euler's formula. So a gemstone with 22 edges must have a total of 24 faces and vertices.
How many less edges than vertices faces does an octahedron?
According to the Euler characteristic which applies to all simply connected polyhedra,# edges + 2 = # vertices + # faces. So the answer is 2 fewer.
How many vertices and faces of 3D shapes?
You can find a polyhedron with any number greater than 4 of vertices or faces. However, a torus, ellipsoid, sphere, paraboloid, hyperboloid are all standard shapes with no vertices. Cylinders, too, have no vertices. And there are many completely random shapes - a lump of putty, for example, which will have no vertex.
