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Given surface area of a cube = 1372
ie, 2(lb+bh+lh)= 1372
we have dimensions of cuboid are in the ratio 4:2:1
∴ the dimensions be 4x , 2x and x
2(4x*2x + 2x*x + x*4x) = 1372
2(8x² + 2x² + 4x²) = 1372
14x²= 686
x²= 49
x = √49 = 7
4x = 4×7 = 28
2x = 2×7 = 14
x = 7
∴ dimensions are 28 , 14 , 7
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