A modular flooring system comprises a modular floor surface and a plurality of stackable, three-dimensional modular interior design components (MIDCs). The modular floor surface can comprise an array of discrete, raised, low-profile, receiving panels that can be rectangular in shape. MIDCs can be securely and interchangeably placed on any group of one or more adjacent unoccupied receiving panel and they can also be stackable, such that various different floor layouts can be created. Each of the MIDCs may comprise a lower surface recess that fits over a group of one or more adjacent raised receiving panels. A first MIDC may have an raised lip on a top surface such that the lower surface recess of a second MIDC fits over, separately and interchangeably, one (or more) of the raised receiving panels and the raised lip on the top surface of the first MIDC. The MIDCs can comprise a storage cube MIDC (square or rectangular cube) as well as specialized MIDCs, such as a commode MIDC, a sink MIDC, a cooler MIDC, and a tile MIDC, etc. In such a manner, a user of the modular flooring system could locate the MIDCs on the floor surface and/or stack them to configure a preferred layout. Moreover, the MIDCs could be rearranged later to design a new layout.