How many vertices are in a 3-D square?

Answer 1

A vertex is defined in Geometry and the point at which two lines or segments connect.

If we think of a 2D square first we can count that it in fact has 4 vertices. One at the top left, one at the top right, one at the bottom left, and one at the bottom right.

We understand in Geometry that a 3D object is a 2D object with an additional plane of space. So knowing this we can assume that there would have to be an additional 4 vertices to formulate a 3 Dimensional square - which is now a cube.

So in conclusion If a 2D object has 4 vertices, then a 3D object since it has an additional plane of space would need an additional 4 vertices to make a square on the second plane of space. So we need a total of 8 vertices to make a 3D cube (3D square - though in technicality a square is 2D, a cube is 3D)

Answer 2

16