SOLUTION: A toolbox is 2 ft high, and its width is 3 ft less than its length. If the volume is 80ft^3, find the length and width of the box. I do not understand how to solve this problem. T

Question 335756: A toolbox is 2 ft high, and its width is 3 ft less than its length. If the volume is 80ft^3, find the length and width of the box. I do not understand how to solve this problem. The book eplains it in a very confusing way.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The volume of the toolbox is,

Substitute into the volume equation,

Factor this quadratic equation,

Only positive solutions for L are appropriate.

Then from above,