
If you measure the height, length and width of a rectangular prism, you can use that information in a formula to calculate the volume and surface area of that object. And that information can help us learn about objects around us.Ī rectangular box, such as a juice box or cereal box, is called a rectangular prism in geometry-speak. Formulas can be used to describe the relationship among the three dimensions of real-world objects: length, width and height. In geometry, the relationships among different parts of a shape can be described with mathematical formulas. Geometry uses math to describe and investigate different points, lines and shapes.

Investigating the geometry of juice boxes can reveal how some have more efficient packaging than others. Each manufacturer has carefully calculated how big each side of the box needs to be to hold a certain amount of juice inside and how altering the box's dimensions affects its overall appearance and packaging.

You might be amazed how much thought goes into designing a juice box. Juice boxes sure are convenient-just poke a straw in and sip away! But have you ever noticed that some juice boxes don't seem to have as much juice as others, even when they have a lot of packaging?
