aculeft.blogg.se - Rectangular prism volume equals surface area

Extra: Packaging comes in all shapes and forms.

Overall, which juice box is the most efficient at holding juice for its size? Which one has a juice volume closest to its calculated volume and has the smallest surface-area-to-volume ratio?.

Which box uses the least amount of packaging for the volume of juice it holds? Which box uses the most? The higher the number, the more packaging is used per volume of juice the lower the number, the less packaging is used per volume of juice. If the answer of the calculation is close to 1, the surface area and volume are almost equal. You can do this by dividing its calculated surface area by the volume of juice it holds (again in milliliters).

For each juice box, calculate the ratio of surface area to volume.

How close is your calculated volume to the actual volume of juice in each box? Use the volume listed in milliliters (mL) because 1 mL equals 1 cm3. The volume of juice in the box is usually found on the front of the juice box near the bottom.

Compare the volume of juice in each box with its calculated volume.

(The units will be in cm3, or centimeters cubed) How much do the calculated volumes vary for the different boxes? The volume of a rectangular prism = length X height X width.

For each juice box, calculate the volume and write it down.(The units will be in cm2, or centimeters squared.) How much do the surface areas vary for the different boxes? The surface area of a rectangular prism = 2 X length X height + 2 X width X height + 2 X length X width. For each juice box, calculate the surface area and write it down.Are the dimensions fairly similar between the different boxes, or is there a lot of variation? Write down these measurements for each box (in centimeters). Using a ruler, for each juice box measure its length (how long it is from left to right), width (how deep it is from front to back) and height.Juice boxes, five or more different brands (one box per brand).The volume is the amount of space an object fills in three-dimensional space (which tells approximately how much a container, like a juice box, can hold), and the surface area is the total amount of area on the outer surface of the object (which tells approximately how much material was used to create the shape).

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?