The dimensions of a cuboid are in the ratio 1:2:3 and its total surface area is $88 m^{2}$ . Find the dimensions.

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Solution

Let the dimensions of the cuboid be a, 2x. 3x metres.
Now,
Surface area = $88 m^{2}$
$2 (2 x^{2} + 6 x^{2} + 3 x^{2}) = 88$
$22 x^{2} = 88$
$x^{2} = 4$
$x = 2 m$
Hence, the dimensions are $2 m, 4 m, 6 m$ .

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