the dimension cuboid ate in the ratio 5:3:1 and T S A is 414msquare. find the dimension
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Ratio of dimensions=5:3:1
Let length,breadth and height be 5x,3x and x m respectively.
TSA of cuboid=414sq.m
2(lb+bh+hl)=414
(5x*3x)+(3x*x)+(x*5x)=414/2
15x^2 + 3x^2 + 5x^2=207
23x^2=207
x^2=9
x=√9
x=3
Length =5x=5*3=15m
Breadth =3x=3*3=9m
Height =x =3m
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