what is the number of vertices (corners) for the following cubes?


1-cube(line)

2-cube(square)

3-cube(box)

4-cube(hypercube)

Verified Answer :

A 1-cube has 2 vertices.  A 2-cube has 4 vertices. 
A 3-cube has 8 vertices, and a 4-cube has 16.

Note that for an integer n, an n-cube has 2^n (2 to the nth power) vertices.