You divide 144 cubic inches by 8 inches (height) because you must use inverse operations on both sides of the equation to isolate the length x width. The inverse operation of multiplication is division, so the following is the application of division to the problem, broken down:

`144=l times w times 8`

`144 div 8=l times w times 8 div 8`

`18=l times w`

If the volume V = 144 cubic inches, and V = length*width*height,

then 144 cubic inches = length*width*8 inches

and length*width = 144/8 square inches = 18 square inches.

This means that **the length and width can be any pair of numbers that has a product of 18**.

Examples: 2*9, 1*18, 1/2*36, etc.

Keep in mind that the dimensions aren't necessarily whole numbers! There are actually infinitely many answers to this problem, so think of a way to describe the solution set in general terms.

## See eNotes Ad-Free

Start your **48-hour free trial** to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Already a member? Log in here.