Task 659

The task

Ten unit cubes are glued together as shown. How many square units are in the surface area of the resulting solid? [asy] draw((0,0)--(30,0)--(30,10)--(0,10)--cycle); draw((10,0)--(10,10)); draw((20,0)--(20,10)); draw((5,15)--(35,15)); draw((0,10)--(5,15)); draw((10,10)--(15,15)); draw((20,10)--(25,15)); draw((35,15)--(35,5)--(30,0)); draw((30,10)--(35,15)); draw((-7,0)--(33,0)--(33,-10)--(-7,-10)--cycle); draw((-7,0)--(-2,5)--(0,5)); draw((3,-10)--(3,0)); draw((13,-10)--(13,0)); draw((23,-10)--(23,0)); draw((35,5)--(38,5)--(33,0)); draw((38,5)--(38,-5)--(33,-10)); draw((2,-10)--(2,-20)--(32,-20)--(32,-10)--cycle); draw((12,-10)--(12,-20)); draw((22,-10)--(22,-20)); draw((32,-20)--(37,-15)--(37,-6)); [/asy]