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A cube is a region of space formed by six identical square faces joined along their edges. Three edges join at each corner to form a vertex. The cube can also be called a regular hexahedron. It is one of the five regular polyhedrons, which are also sometimes referred to as the Platonic solids. Also called facets or sides. A cube has six faces which are all squares, so each face has four equal sides and all four interior angles are right angles. See Definition of a square. In the figure above, drag the ‘explode’ slider to see the faces separated for clarity.
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Finding the number of square faces on the hypercube presents more of a problem, but a version of the same method can solve it. There are 6 squares on the red cube and 6 on the blue one, and we also find 12 squares traced out by the edges of the moving cube for a total of 24.
Cuboids are familiar objects you encounter numerous times in your daily life. Formed exclusively from rectangles, cuboids are essentially boxes. These familiar shapes are also known as rectangular prisms. When comparing cuboids and cubes, it is important to remember that all cubes are cuboids, but not all cuboids are cubes. These two geometric figures have numerous similarities but only one difference.