See the cube rotating around the x, y, z axis.
Properties of the Cube
  • Faces: 6 squares
  • Vertices: 8, each with 3 edges meeting
  • Edges: 12
  • Dihedral angle: 90°
  • The Symmetry
    Surface Area

    Let a = the length of one edge. Surface area of one square = a²
    Therefore, Surface area of the cube = 6 squares = 6a²
    The volume of a cube is a³.
    In fact, the volume of any Hexahedron like the one in the picture, with equal parallelogram on opposite sides, can be calculated with the formula:
    width × height of the bottome parallelogram × height of cube