A method for the nondestructive inspection of an object, wherein electromagnetic radiation (113, 123, 133) is passed through the object and intensity values of unabsorbed beams are measured and evaluated, the method comprising the following steps: - generating a three-dimensional data set in which the local material density and/or the mass attenuation coefficient as a first material quantity value corresponding to a first material property of the object is associated in each case with individual spatial elements of the object by means of a first X-ray unit which is configured for carrying out a computed tomography method; - determining an inspection space, in the three-dimensional data set representing the object, which has spatial elements whose first material quantity value is in a predetermined value range; and - determining a projection of the inspections space corresdponding to a predetermined projection direction (PR1, PR2); - generating a two-dimensional data set in which the effective atomic number as a second material quantity value corresponding to a second material property of the object is associated in each case with individual surface elements of the object, based on a surface projection of the object by means of at least a second X-ray unit (120, 130) which is configured to carry out a two-dimensional multi-energy X-ray method in the predetermined projection direction (PR1, PR2); - determining an inspection area in the two-dimensional data set by computing the projection of the inspection space into the two-dimensional data set, corresponding to the predetermined projection direction (PR1, PR2); characterized in that - deriving values, based on the three-dimensional data set which in each case correspond to the material thickness of the inspection space as a spatial geometric quantity of the inspection space in the predetermined projection direction (PR1, PR2); und - associating of the derived values of the material thickness as the spatial geometric quantity of the inspection space to resepctive corresponding surface elements of the inspection area determined by the projection. - generating a three-dimensional data set in which the local material density and/or the mass attenuation coefficient as a first material quantity value corresponding to a first material property of the object is associated in each case with individual spatial elements of the object by means of a first X-ray unit which is configured for carrying out a computed tomography method; - determining an inspection space, in the three-dimensional data set representing the object, which has spatial elements whose first material quantity value is in a predetermined value range; and - determining a projection of the inspections space corresdponding to a predetermined projection direction (PR1, PR2); - generating a two-dimensional data set in which the effective atomic number as a second material quantity value corresponding to a second material property of the object is associated in each case with individual surface elements of the object, based on a surface projection of the object by means of at least a second X-ray unit (120, 130) which is configured to carry out a two-dimensional multi-energy X-ray method in the predetermined projection direction (PR1, PR2); - determining an inspection area in the two-dimensional data set by computing the projection of the inspection space into the two-dimensional data set, corresponding to the predetermined projection direction (PR1, PR2); - deriving values, based on the three-dimensional data set which in each case correspond to the material thickness of the inspection space as a spatial geometric quantity of the inspection space in the predetermined projection direction (PR1, PR2); und - associating of the derived values of the material thickness as the spatial geometric quantity of the inspection space to resepctive corresponding surface elements of the inspection area determined by the projection.