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Total surface area of a cuboid = 2 (lb + bh + hl) = 2 (x*2x + 2x*3x + 3x*x) = 2 (2x2 +6x2 + 3x2) = 22x2
Given, TSA of the cuboid is 88m2
22x2 = 88m2
x2 = 88m2/22 = 4m2
x = 2m
Therefore, the dimensions of the cuboid will be :-
x = 2m
2x = 2*2m = 4m
3x = 3*2m = 6m
Thus, volume of the cuboid = l*b*h = 2m*4m*6m = 48m3