+4 A 4'' x 6'' x 8'' rectangular solid is cut by slicing through the midpoints of three adjacent sides. Find the volume of the shaded piece that is cut off.
Let the original rectangular solid be ABCD, and let the points where the cuts are made be E, F, and G. Then, EFGH is a square with side length 2, and ABCD is divided into 8 congruent smaller cubes. The shaded piece is made up of the four corner cubes, which have a total volume of 4*(1^3)=4 cubic inches.
