Measure the wall area of your cubicle to determine how much MLV, plasterboard and foam you will need. Buy the thinnest possible plasterboard, 1/4 inch, as space-saving is imperative in a cubicle. For the foam, buy double the amount of wall space you want to cover. Again, go for 1/4-inch thick foam.
Add water to the universal bonding compound, a gypsum-based compound for direct bonding plasterboard to walls, until it forms a liquid difficult to stir. Spread the compund over both sides of the MLV, using a paint roller, and attach foam padding. This is your soundproofing sheet. The foam is there to absorb sound waves stopped by the MLV.
Cover one side of your soundproofing sheet with universal bonding compound and hold it flat against the wall of your cubicle. Hold it until you can feel a bond form then leave it to dry. Continue until you have covered all wall space of your cubicle.
Spread universal bonding compound on the underside of a plasterboard sheet. Press the plasterboard against the exposed side of the soundproofing sheet. Wait until a bond is formed, as before, and then leave to dry. Continue until all sides of the cubicle have been covered.