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Total Surface Area of a Cuboid

If area of 3 ...

Question

If area of 3 adjacent faces of cuboid are x,y and z then prove that $v^{2} = x y z$ .

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Solution

X=lw
y=wh
z=l*h
$xyz= l^{2} w^2h^2=(lwh)^2$
But lwh=V
Therefore
$V^2=xyz$

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