10. (5 points) A rectangular prism, if the length is reduced by 2 cm, the width and height remain unchanged, the volume decreases by 48 cubic cm; if the width is increased by 3 cm, the length and height remain unchanged, the volume increases by 99 cubic cm; if the height is increased by 4 cm, the length and width remain unchanged, the volume increases by 352 cubic cm. The surface area of the original rectangular prism is $\qquad$ square cm.
【Solution】Solution: The surface area of a rectangular prism $=($ length $\times$ width + length $\times$ height + width $\times$ height $) \times 2$
$$
\begin{array}{l}
=(88+33+24) \times 2, \\
=145 \times 2, \\
=290 \text { (square centimeters); }
\end{array}
$$

Answer: The original surface area of the rectangular prism is 290 square centimeters.
Therefore, the answer is: 290.