A star, cone, pyramid.
A pyramid would fit the given description
The length of a perpendicular from the base to the top of a plane figure or solid figure is known as the height. It represents the shortest distance between the base and the highest point of the figure, measured at a right angle to the base. In three-dimensional shapes, this height is crucial for calculating volume and understanding the figure's spatial properties.
It is the two-dimensional image of the solid figure when it is viewed from points above the object. In mathematical terms (projective geometry), it is the projection of the figure onto a horizontal plane using the point at infinity as the centre of projection.
A sphere. In Geometry, it is a round solid figure. Every point on it's surface is an equal distant from it's center.
That is the Vertex
A sphere?
a cone!, It has a top and a bottom
It is the point of a dihedral (solid) angle.
It is the vertex and its plural is vertices
A vertex on a cube, for example, is where any three edges meet. On a pyramid (square type) it could be at the point on the top or the 4 bottom edges. :)
A cube.
A Sphere.