The Popcorn Box I am making popcorn and do not have a container anywhere in my house. I search thoroughly and do not find anything but an eleven by eight and a half-inch piece of cardboard. I have decided to make a box with a bottom, four sides, and no top. I will do this by cutting slits into the cardboard and then folding flaps, from these slits, up and over. This will create a box shape. I want to get the most volume out of this container.
After solving this problem using an equation and my algebraic skills, I have decided to use one and a half-inch long slits. The equation I created to find the box's maximum volume was: Volume = (11 - 2x)(8.5 - 2x) x x = length of cut I started my technical process of guess, check, and revise by taking the most obvious cut depths.
English: The Slits Français : The Slits
English: Ari Up, Tessa Pollitt, and Adele Wilson o...
Inch antMy first was one inch.
(11 - 2)(8.5 - 2) 1 (9)(6.5) 1 58.5 inches cubed I then started with 2 inches.
(11 - 4)(8.5 - 4) 2 (7)(4.5) 2 63 inches cubed I tried many other lengths and decided to go with the length of 1.5625 or one and nine sixteenths of an inch.
(11 - 3.125)(8.5 - 3.125) (7.875)(5.375) 1.5625 66.1376953125 inches cubed One and nine sixteenths is the best possible answer for the length of the slits so that the box will hold the largest amount of popcorn.
Ruler - Plastic INCHES
13-inch MacBook Pro
English: Picture of a common measuring tape in inc...