Question

you are in the research and development department at Jiffy Pop. the company is trying to come up with the new and improved popcorn box to produce for movie theaters. The goal is to create a box with a with two in less than the length and width the height 5 in greater than the length the volume of the Box must be 24 cubic inches in order to hold enough popcorn.

Answer 1

Let L be the length of the box that the company aims to manufacture. With this representation, the width of the box is equal to L - 2 and the height is equal to L + 5. The volume of the box is equal to the product of the length, width, and height. That is,
                          A = L x (L - 2) x (L + 5) = 24

The value of L from the equation is 3 inches. 

The dimension of the box are as follow: 
length = L = 3 inches
width = L - 2 = 1 inch
height = L + 5 = 8 inches