7. (15 points) The figure below shows a large rectangular prism composed of 9 identical smaller rectangular prisms. It is known that the surface area of the large rectangular prism is 360 square centimeters. What is the surface area of one of the smaller rectangular prisms? $\qquad$ square centimeters.
【Solution】Solution: According to the analysis, let the length of the small rectangular prism be $a$, the width be $b$, and the height be $c$, as shown in the figure below, then we have: $3 b$ $=2 a, a=3 c$
Therefore, the surface area of the large rectangular prism $=2 \times(b+c) \times(b+b+b)+2 \times(b+c) \times a+2 \times a \times(b+b+b)=$ $360 \Rightarrow 3 b^{2}+3 b c+4 a b+a c=180$

Also, $3 b=2 a, a=3 c$, solving these equations gives: $a=6, b=4, c=2$, so the surface area of a small rectangular prism is: $2 \times 6 \times 4+2$ $\times 6 \times 2+2 \times 4 \times 2=88$ square centimeters.

Therefore, the answer is: 88 square centimeters.