The dimensions of a cuboid are in the ratio of 2:3:4and its total surface area is 468 m². Find the dimensions?
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Let the dimension of the cuboid are in multiple of 2x,3x,4x respectively.
The total surface area of cuboid = 468
=> 2 (lb + bh + lh) = 468
=>2 (2x×3x+3x×4x+2x×4x) = 468
=>6x^2 + 12x^2 + 8x^2 = 234
=>26x^2 = 234
So x=3
Hence the dimensions of cuboid will be
6m^2, 9m^2, 12m^2. Ans
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