A cuboid has 6 faces and the formula for its total surface area is:
2lw + 2lh + 2wh, where l is the length, w is the breadth, and h is the height.
Given the total surface area of 1168 cm² and the length and breadth being 16 cm and 14 cm, respectively:
2(16)(14) + 2(16)h + 2(14)h = 1168
Expanding the expression:
448 + 32h + 28h = 1168
Combining like terms:
60h = 720
Dividing both sides by 60:
h = 12 cm
So the height of the cuboid is 12 cm.