CAD Systems – Computer-Aided Design Systems – are widely used in the different life cycle stages of an engineering enterprise, such as conceptual design, physical structure construction, and plant operation. The maintenance of the facility is a very important task during the operation, where painting the equipments and structures is essential. Estimating the painting area of the different objects has a high cost if done manually, using measuring tapes and lasers. A more efficiently way to calculate these areas is through the use of CAD tools. However, the modeling process of the CAD model, using parametric objects and three-dimensional meshes, inserts surfaces that are hidden by other objects. These hidden surfaces are not painted, and considering their areas in the painting budgeting leads to considerable errors. Therefore, the use of a simple calculation of all the surfaces areas that compose the objects is not adequate. With the objective of eliminating the hidden surfaces of the painting area computation, this work proposes an approach based on adaptive distance fields together with constructive solid geometry operations. Firstly, the meshes pass through a preprocessing phase, in which they are adjusted to fulfill the requirements for the adaptive distance field construction, and then their fields are computed. Parametrized objects do not need this step because they already have an implicit distance field. Constructive solid geometry operations were then used to obtain the difference and the intersection fields of each object with the scene. With this data, the painting areas are calculated considering the areas of the difference with the scene, the intersection and the surface area of each object. In controlled tests, the painting areas obtained differs of a maximum of 0.84 percent of the real areas. In tests with real models, a reduction of up to 38 percent of the estimated area was obtained in relation to the simplistic approach of not treating hidden surfaces.