The faces of a three-dimensional figure determine the two-dimensional shapes created by slicing the figure because the faces represent the boundaries or surfaces of the figure. When a three-dimensional figure is sliced, the resulting two-dimensional shapes are determined by the shape and orientation of the faces being sliced. For example, if a cube is sliced in a certain way, the resulting two-dimensional shapes may be squares or rectangles, depending on how the slices are made in relation to the faces of the cube. The size, shape, and orientation of the faces of the three-dimensional figure will determine the specific two-dimensional shapes created by slicing the figure.
