the volume of cuboid whose sides are in the ratio 1:2:4 is same as that of a cube. what is the ratio of length of diagonal of a cuboid to that of a cube
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Dear student,

Volume of cuboid =l×b×hVolume of cube=a3but it is given,Volcuboid=Volcubel×b×h=a3x×2x×4x=a38x3=a32x=athus, the ratio of diagonals =diagonal of cuboiddiagonal of cube=x2+2x2+4x22x3=x72x3=7:23

Regards

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