There are n cubes of the same size, and they are assembled into a cuboid, and the bottom of this cuboid is composed of two small cubes. If the surface area of the cuboid is 1024cm**2, when one layer (two cubes) is removed from the top of the cuboid, the surface area of the new cuboid is 96cm**2 less than the surface area of the original cuboid, then n=how many.
有n个同样大小的正方体，将它们拼成一个长方体，这个长方体的底面由两个小正方体组成．如果这个长方体的表面积是1024cm**2，当从这个长方体的顶部拿去一层(两个正方体)后，新的长方体的表面积比原来长方体的表面积减少96cm**2，那么n=多少个．
<result>20</result>