I have synthesized a material having cubic structure. According to to my knowledge scherrer equation is only applied for spherical particle (as K value is in between 0.4-0.9 depending on its sphericity).
'Cubic structure' refers to the symmetry group of your material. 'Spherical' here refers to a morphology of a crystallite. A cube (with cubic symmetry) as a morphological entity approximates a sphere as it is equant, and the K shape factor is 1.0 or very close to it. but some cubic structures can be elongated along an axis to be far from spherical.
In the International Tables for X-ray Crystallography 3 , 318, is a table for K values in the cubic system which may be of help to you.
Here is also a very useful presentation from MIT on the subject.
Beware the tabulated constants from Ian refer to the integral breadth method and not the "classical" FWHM. Anyways you should read in detail the provided link in order to achieve meaningful results. However don´t expect detailed results from the classical Scherrer or Williamson-Hall plots. State of the art is WPPM or the double Voigt-Approach as implemented in Topas or the Warren-Averbach Method if you are willing to do a Stokes deconvolution.