Finding All of the Possible Dimensions (i.e., the Lengths, Widths, and Heights) of a Rectangular Prism with a Given Surface Area

Question

Here is, in effect, my question: Is there any formulaic/conventional way to go about finding all the possible dimensions of a rectangular prism with only the surface area given?

Below is an example problem:

What are the possible dimensions of a rectangular prism with a surface area of 24cm^2? Sketch and label.

Thanks.