1984 AHSME Problem 25

The total area of all the faces of a rectangular solid is 22 \ \text{cm}^2, and the total length of all its edges is 24 \ \text{cm}. Then the length in cm of any one of its interior diagonals is

\mathrm{(A) \ }\sqrt{11} \qquad \mathrm{(B) \ }\sqrt{12} \qquad \mathrm{(C) \ } \sqrt{13}\qquad \mathrm{(D) \ }\sqrt{14} \qquad \mathrm{(E) \ } \text{not uniquely determined}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.