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The sum of length, breadth and height of a cuboid is x cm and length of its diagonal is y cm, then its…

Given \(l + b + h = x\) and \(\sqrt{l^2 + b^2 + h^2} = y \Rightarrow l^2 + b^2 + h^2 = y^2\). Total surface area \(= 2(lb + bh + hl) = (l + b + h)^2 - (l^2 + b^2 + h^2) =…

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The sum of length, breadth and height of a cuboid is x cm and length of its diagonal is y cm, then its complete surface area will be :

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Correct answer B

Given l+b+h=xl + b + h = x and l2+b2+h2=y⇒l2+b2+h2=y2\sqrt{l^2 + b^2 + h^2} = y \Rightarrow l^2 + b^2 + h^2 = y^2. Total surface area =2(lb+bh+hl)=(l+b+h)2−(l2+b2+h2)=x2−y2= 2(lb + bh + hl) = (l + b + h)^2 - (l^2 + b^2 + h^2) = x^2 - y^2.

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