Here is the full list of all 11 SUPERHYPERCUBE trophies - there are 6 bronze, 4 silver and 1 gold.
Maxing out the cube during regular play.
Complete level one during regular play.
Complete level two during regular play.
Complete level three during regular play.
Complete level four during regular play.
Complete level five during regular play.
Complete level six during regular play.
Complete level seven during regular play.
Complete level eight during regular play.
Complete level nine during regular play.
Complete level ten during regular play.