the length,breadth and height of a cuboid are in the ratio 4:2:1and its total surface area is 1372m s.q. find the dimensions of the cuboid
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Let x be a multiplier:
2(4x+2x)+2(4x+x)+2(2x+x)=1372
12x+10x+6x=1372
28x=1372
x=49
∴ Length=4x=4*49=196
Breadth=2x=2*49=98
Height=x=49
Hence the dimension 196×98×49
Hope it helps :)
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