Kinematic Hilbert space in QECT is constructed via von Neumann infinite dimensional tensor product of point Hilbert spaces. The Hilbert space of this kind is too big therefore we need to pick up its certain subspace which mimics underlying manifold structure of spatial section in better way. This enables us to define measures with values in operator algebra (bounded and unbounded cases are considered) which are absolutely continuous with respect to Lebesgue - coordinate measure over spatial section. This general construction helps us to define Volume and Area operators in QECT.