Find the volume of the solid by the method of slicing.

The base of a solid is the region enclosed by the graphs ofy= x andy=x²/8.

(a) Find the volumeVof the solid if slices made perpendicular to thex-axis have cross sections that are triangles whose base is the distance between the graphs and whose height is 3 times the base.

(b) Find the volumeVof the solid if slices made perpendicular to the base along thex-axis have cross sections that are triangles whose base is the distance between the graphs and whose height is 3 times the length of the base.