Zero. A cube does not have a curved surface area.
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Normally a cube has 6 flat surface faces
cube
There r 3 formulas for cube. Volume- (side X side X side) Curved surface area- 4(side X side) Total surface area- 6(side X side)
Total surface area of a cube = 6*area of cube face = 6*cube side*cube side
It called the curved surface area. There is no special name for it.