Mind Cubes 1-5

Solution #1:
Ummm...just wrap the green around until the two touch...

Solution #2:
Red (on left face) - D all, R all, U4, L2, U2.

Orange (on right face) - L3, U1, L2, U3.

Solution #3:
Blue (at the very bottom) - L all, U all (to top corner), R/D all, L1.

Red (at the bottom) - L2, U4.

Green - Use remaining spaces to connect.

Solution #4:
Purple - Start at the bottom and trace the complete outside of the box.

Blue - Remaining grey spaces will connect the blue.

Solution #5:
Orange - Create an "L" shape against the lower/left most sides to connect.

Red - Mimic the orange "L" but do not color any squares on the top face.

Green - A straight line, 3 squares long.

Yellow - A straight line, 5 squares long.

Blue - Go up and wrap around the yellow line.

Purple - All remaining grey colored squares.