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cubes, prisms, dodecahedrons...

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Q: Which polyhedron has fewer faces than vertices?
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Which polyhedrons have fewer faces than vertices?

Any polyhedron other than a pyramid.


Which shape has more faces than vertices?

Oh, dude, that's an easy one. A shape like a cube has more faces than vertices. Like, think about it, a cube has 6 faces but only 8 vertices. So, yeah, the faces totally outnumber the vertices in that situation.


Which polyhedron has fewer faces than verticies?

Prism.


Which polyhedron has more faces than a tetrahedron but fewer faces than an octahedron?

Hexahedron


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


What soild has fewer than 9 vertices?

Tetrahedron- (4 faces, 4 vertices) Octahedron- (8 faces, 6 vertices) Cube- (6 faces, 8 vertices)


If a polyhedron has 10 more edges than vertices how many faces does it have?

Oh, dude, it's like a math riddle! So, if a polyhedron has 10 more edges than vertices, we can use Euler's formula: Faces + Vertices - Edges = 2. Since we know the relationship between edges and vertices, we can substitute that in and solve for faces. So, it would have 22 faces. Math can be fun... sometimes.


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.