Model a Double Negative Space, Three Ways

Screenshot
This exercises practices basic 3d modeling skills by creating three abstract "double negative" spaces using three methods: solid modeling, lofted surfaces and sweep surfaces.
Assessment objectives
• Ability to model accurately and precisely in 3d space
• Knowledge of different surface commands and editing tools
Exercise Type Problem Set
Evaluation Criteria
High Pass
Final models are in separate layers and have been executed precisely and accurately according to each method. Each model is a closed polysurface and exhibits no naked edges. The overall forms are evocative and engaging.
Pass
The three final models are closed polysurfaces with no naked edges, exhibiting the three different methods with few mistakes such as incorrect measurements, lack of layer organization.
Low Pass
The three final models are missing surfaces (or have unnecessary surfaces included) and it is unclear whether or not all three methods were closely followed.
Fail
the final models are incomplete and missing several elements.
Uses Tool(s) Tool:Rhino v4.x
Uses Workflow(s) Workflow:393577

Create three different "Double Negative" models exhibiting the following three methods. The original solid cube should measure 8" x 16" x 4". All three examples should have intersecting voided space that approximately take up 50% of the original cube, showcasing evocative spatial qualities inside the model. Each method should be located on a separate layer.

Method 1 - Solid Modeling
This form should be generated using rational geometry, selecting forms of your choice.
Method 2 - Lofted Geometry
This form should be generated using curved, lofted geometry created by serial sections of your own design.
Method 3 - Sweep Surfaces
This form should be generated using the Sweep command, with a rectangle that is extruded along a continuous polyline that travels through the space of the cube.

Final models should be saved in ONE rhino file (.3dm).