Q: What would Earth be like to us if it were a cube instead of spherical? Is this even possible?

http://www.askamathematician.com/?p=6657

Life on a cubic Earth would be pretty different.  Although gravity on the surface wouldn’t generally point toward the exact center of the Earth anymore (that’ a symptom of being a sphere), it will still point roughly in toward the center.  So, the closer you are to an edge, the more gravity will make it feel as though you’re on a slope.  So, although it won’t look like it, it will feel like each of the six sides forms a bowl.  This has some very profound effects.