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Q: What is the only solid with not even one vertex?

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triangular prism

Because the base of a cone is round, it is the only three dimensional figure with only one vertex.

When the vertex lies on the x-axis. For example x = y2, the vertex is at the origin, and the parabola is lying on its side.

A dodecagon has 12 sides. Whether or not from one vertex, the number of sides remains the same. Each vertex is formed when 2 sides meet.

Cubic functions usually have 2 vertices or none at all. It is not possible for a cubic function to have only one vertex because the end result of both "tails" of a cubic function must tend towards positive infinity and negative infinity (in other words, they are in opposing directions). Having only one vertex would result in the tails tending towards either positive infinity or negative infinity and therfore being in the same direction. For this reason, cubic functions cannot be written in vertex form.

Related questions

triangular prism

A cone, possibly.

a cone

Yes, the point on the cone is a vertex.Typical math textbooks define a cone as "A solid figure with one circular face and one vertex." So yes, there is one vertex.

Cone

A conic section.

A cone only has 1 vertex because it only has one point where it connects. (vertex=a point)

Yes,the triangular prism has one vertex

Possibly a cone? No, A cone is one of the few solid objects with one vertex. A pyramid (which includes a tetrahedron) has 4 or more. A prism (which includes a cube) has 6 or more (but even numbers only). Other regular solids are octahedron (6 vertices), dodecahedron (20), icosahedron (12).

a bulb that extends to a point like the old fashioned spinning tops has one vertex. a lot of solids have vertexes

a pyramid

Because the base of a cone is round, it is the only three dimensional figure with only one vertex.

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