Consider a unit cube, i.e., a cube with each side 1 unit long. If the cube is cut by a plane through the points a, b, and c of Figure lf draw a graph for the cross-section and find its area, where b and c are both the midpoints of the sides. Find the perpendicular distance from the point d to the cross-section of Problem 1. Now suppose the cube is cut by the plane passing through the points a, b, and c of Figure 2. where the points are again the midpoints of the sides. What is the area of the cross-section now? Comments.A cross-section of the cube should cut the cube into two separate parts. What is the shape of the cross-section in each case? For the areas and distance, set up a coordinate system.