Which of the following areas cannot be determined by survey analysis of partially edentulous casts?

The depth of rest seats is a specific measurement that requires direct evaluation of the residual ridges and the details of the occlusion, which is not something that can be accurately assessed through survey analysis alone. Survey analysis primarily focuses on evaluating the overall form and features of the dental casts to identify suitable paths of insertion, retention areas, and outlines for guiding planes.

In contrast, guideline planes can be determined by the survey analysis as it provides information on the surfaces of teeth or ridges where the prosthesis can be adequately guided during placement. Similarly, areas for retention can be identified as the survey helps assess the relationship between the edentulous areas and adjacent teeth, informing where clasps or other retention features might be applied.

Additionally, the areas to be blocked out can also be evaluated using survey analysis, which highlights regions that might need adjustments to avoid conflicts with the dental framework. Therefore, while the other aspects relate to the evaluation of the cast's shape and structure for prosthetic considerations, the depth of rest seats requires practical measurements and assessments not obtainable merely through surveying the casts.