the length breadth and heights are in the ratio of 7:4:3 if the TSA of is 5978cm^2
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Step-by-step explanation:
let the length be 7x cm,breadth be 4x cm,height be 3x cm
As we know TSA= 2lb+2 bh+2hl
or, 5978= 2×7x×4x+2×4x×3x+2×3x×7x
or, 5978= 56x^2+24x^2+42x^2
or, 5978=122x^2
or , 5978÷122=x^2
or, 49=x^2
or, x=√49
or, x=7
Now, length= 7x=7×7=49cm
breadth=4x=4×7=28cm
height =3x=3×7=21cm
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