Eight cubes form the figure shown. [asy] import solids; currentprojection=orthographic(4,2.5,2.5); triple A=(0,0,0), B=A+Y, C=B+Y, D=C+Y, E=D+Z, F=D+2Z, G=D+3Z, H=C+3Z,I=B+3Z,J=A+3Z,K=A+2Z,L=A+Z; triple J2 = J-X, G2=G-X, D2=D-X; draw(A--D--G--J--A^^L--E^^K--F^^B--I^^C--H); draw(J--J2^^G--G2^^D--D2^^J2--G2--D2^^I--I-X^^H--H-X^^F--F-X^^E--E-X); draw((0,1,1)--(-1,1,1)^^(-1,1,1)--(-1,1,1.38)^^(-1,1,1)--(-1,1.38,1)); [/asy] The side length of each cube is 3 cm. How many square centimeters are in the surface area of the figure?
