The interior of a rectangular carton is designed by…
We are given that the ratio of length: width: height = 3 : 2 : 2 and we are also given that the volume of the rectangular solid is x. We can use n as the variable multiplier for our ratio, giving us:
length: width: height = 3n : 2n : 2n
Now we are ready to determine the height in terms of x.