Mind Cubes 6-10

Solution #6:
Purple - Shortest possible distance.

Blue - Shortest possible distance.

Green - Follow the complete outside of all the grey spaces available.

Yellow - The remaining grey spaces.

Solution #7:
Yellow - Shortest possible distance.

Blue - Shortest possible distance.

Orange - Shortest possible distance.

Purple - Wrap around the yellow start cube, using 5 cubes.

Red - The remaining grey spaces.

Solution #8:
Orange - Shortest possible distance.

Yellow - Wrap all the way around the yellow on the right side.

Blue - Wrap directly around the 2 black squares.

Green (from the top) - Go down between the yellow and orange, then left.

Solution #9:
Green - Shortest possible distance.

Purple (from the right side) - L1, D1, L4

Red (from the bottom) - Wrap around the entire puzzle until running into the right purple square, then L2.

Yellow - Make an "L" against the red.

Blue - Any remaining grey squares.

Solution #10:
Yellow - Shortest possible distance.

Purple (from the left side) - U4, R2, D4

Green (from the right side) - L5, D1

Blue - There should be a path between the two...