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

The dimensions of a cuboid are in the ratio of `1:2:3`.
Total surface area is `88 m^2`.
Let the dimensions be `x`,`2x` and `3x`
Total surface area`=88`
`88=2(2x^2+6x^2+3x^2)`
`88=22x^2`
`x^2=4`
`x=2`
Dimensions are:
`x=2`
`2x=2times2=4`
`3x=3times2=6`
`therefore` Dimensions are `2 cm`, `4 cm` and `6 cm`