10. (10 points) Arrange 11 identical rectangular bricks as shown in the figure to form a large rectangular prism. It is known that the volume of each brick is 288 cubic centimeters, and the surface area of the large rectangular prism is ( ) square centimeters.
A. 1944
B. 1974
C. 2014
D. 1368
【Solution】Solution: Let the length, width, and height of the small rectangular prism be $a$, $b$, and $h$ respectively, then $a=4h$, i.e., $h=\frac{1}{4}a$, and $2a=3b$ i.e., $b=\frac{2}{3}a$. The volume of each brick is: $a \times \frac{2}{3}a \times \frac{1}{4}a=\frac{1}{6}a^3$. According to $\frac{1}{6}a^3=288$, we get: $a=12$ (cm), then $b=\frac{2}{3} \times 12=8$ (cm), $h=\frac{1}{4} \times 12=3$ (cm),

Thus, the length of the large rectangular prism is $12 \times 2=24$ cm, the width is 12 cm, and the height is $8+3=11$ cm. The surface area of the large rectangular prism is: $24 \times 12 \times 2 + 24 \times 11 \times 2 + 12 \times 11 \times 2$,
$$
\begin{array}{l}
=288 \times 2 + 264 \times 2 + 132 \times 2, \\
=576 + 528 + 264, \\
=1368 \text{ (square cm); }
\end{array}
$$

Answer: The surface area of the large rectangular prism is 1368 square cm.
Therefore, the correct choice is: $D$.