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

Explanation

Let the length of the cuboid =`'x'`, `breadth ='2x', height ='3x'`
Total surface area of a cuboid=`'2(l×b+b×h+l×h)'`
Given, total surface area of the cuboid=`'88m^2'
⇒'2(x×2x+2x×3x+x×3x)=88m^2'`
⇒`22x^2=88'`
`x=2`
Hence, the length of the cuboid =`'x=2m`', `breadth ='2x = 4m', height ='3x = 6m'`