How do you set up the equation for: A cube measures n inches on each edge. If a slice 2 inches thick is cut from one face of the cube, the resulting solid has a volume of 567 cubic inches. Find n.
Imagine a cube shaped chunk of cheese and you slice a piece off the side. Looking at the slice, you still have the same square dimensions. But, looking at the side, one dimension is now shorter. So, the new cube, after the slice is removed is n x n x (n-2)
V = 567 = nn(n-2)