Heptagonal prism
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sphere
A square pyramid.
A tetrahedron or triangular pyramid.
A triangular pyramid.
triangular prism i don't if thats right somewhere else, but if you're from connexus its rectangular prism. Improved answer: I sense confusion between the question and the reply. A triangular prism has six vertices. An infinite amount of solid objects have more vertices. The question "Which solid figure has the least vertices" is probably the intended question, in which case the answer is a tetrahedron or spheroids. The tetrahedron has four vertices, the least number a solid with only planar surfaces can have. Of course any number of solids have no vertices, like the sphere and other spheroids.