The length, width and height of a rectangular solid are in the ratio of 3:2:1. If the volume of the box is `48\ c m^3,` the total surface area of the box is: (a) `27\ c m^2` (b) `32\ c m^2` (c) `44\ c m^2` (d) `88\ c m^2`

Explanation

Let the dimensions of cuboid be 3x,2x and x.

Let l=3x , b=2x and h=x

Volume of a cuboid = `lbh`

V=`(3x)xx(2x)xx(x)`=`6x^3`

`6x^3=48`

`x^3=48/6`=`8`

`x^3=`2^3`

`x=2cm`

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