Problema Solution

A model of carry-on luggage has a length that is 10 inches greater than depth. Airline regulations require that the sum of the length, width, and depth cannot exceed 40 inches. assume that most people will want to use the largest carry-on possible with the sum of the legnth, width, and depth actually equaling 40 inches.

Answer provided by our tutors

The problem statement is ambiguous because carry-on contents would typically be standard size... we assume that the answer is simply asking about maximum volume.  Let 'x' represent the dimension for length, width and depth and the maximum volume would be calculated:

3x=40

click here to solve for x

x=13 1/3

Each dimension of the carry-on would be 13 1/3 length, 13 1/3 width and 13 1/3 depth.