The breadth of a cuboid is half it's length and it's height is 4cm. if the volume is 200cm², Find it's length and breadth.
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Let x be the breadth of the cuboid.
Height of the cuboid =2/x
Length of the cuboid =2x
∴ Volume of the cuboid =x×2/x×2x=x^3
⇒x^3=512
⇒x=3/512=8
∴ Length of the cuboid =2×8cm=16cm
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