How to knit a cube in entrelac from corner to corner

I've been knitting 3-d entrelac for a while, and making all kinds of diagrams. I think I've come up with the minimal diagram here: Explanation:

1. Knit the 1st square. End on a wrong-side row.
2. Pick up stitches on the right side of the 1st square (from the top down) and knit the 2nd square. End on a wrong-side row.
3. Pick up stitches on the right side of the 2nd square (from the top down) and knit the 3rd square. Attach the right side of the 3rd square to the bottom of the 1st square as you go. End on a wrong-side row.
4. Pick up stitches on the left side of the 1st square (from the top down) and knit the 4th square. Attach the left side of the 4th square to the top of the 3rd square as you go. End on a right-side row.
5. Pick up stitches on the left side of the 3rd square (from the top down) and knit the 5th square. Attach the left side of the 5th square to the top of the 3rd square and the right side of the 5th square to the top of the 2nd square. End on a right-side row.
6. Pick up stitches on the left side of the 2nd square (from the top down) and knit the 6th square. Attach the left side of the 6th square to the top of the 1st square and the right side of the 6th square to the top of the 5th square. End on a wrong side row, leave a long tail of yarn. Stuff the cube if you like. Graft the top of the 6th square to the right side of the 4th square.