Which of the following 3 -D shapes do not have a vertex?

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pyramid

cone

sphere

prism

answer is C.

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Detailed Solution

We know that a point where two or more line segments meet is a vertex.
Let us check for all options.
Option (1), Because a pyramid is a polyhedron with a polygon base and lateral sides that are triangles, this choice is incorrect.
Option (2), This choice is incorrect since a cone is a three-dimensional solid geometric shape with a circle at one end and a pointed edge at the other.
Option (3), Because a sphere is a solid with a perfectly round form described in three-dimensional space, it has no vertex, making this choice valid.
Option (4), Because a prism is a polyhedron with congruent polygons on its bottom and top faces (known as bases) and parallelograms on its other faces (known as lateral faces). So, it has vertex.
This option is not correct
The correct option is (3).

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