1985 AHSME Problem 25

The volume of a certain rectangular solid is 8 \text{cm}^3, its total surface area is 32 \text{cm}^2, and its three dimensions are in geometric progression. The sums of the lengths in cm of all the edges of this solid is

\mathrm{(A)\ } 28 \qquad \mathrm{(B) \ }32 \qquad \mathrm{(C) \ } 36 \qquad \mathrm{(D) \ } 40 \qquad \mathrm{(E) \ }44

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