Question 753530: I am trying to help my daughter with a school project we must design a container for an egg drop but I can't get started without some basic dimension help. Container must have a volume less than 1000cm3 with no side larger than 25cm can u please help me with the dimensions of a box which if I figure right for cube I believe is 10cmx10cmx10cm ( I think) I was
also wondering if I use a cylandrical container such as a can what would the dimensions be. I would be ever so grateful for help. I am 53 and its been years since I had to tackle these formulas.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! As you figured, cube-shaped box 10cm X 10cm X 10 cm has a volume of  . For any other box with square corners, just multiply length of the base, times width of the base, and times the height.
The volume formula for a cylinder is  ,
where  = 3.14159..... (3.14 is accurate enough),
and  is half of the diameter of the base.
For example, I have a coffee can that is 14 cm tall and 10 cm wide.
It has  ,  and  , so it is a bit too big.
A 28 ounce can of crushed tomatoes that I have is also 10cm wide (radius = 5 cm), but it is only 12 cm tall, and its volume is less than 1000 cubic centimeters:
There are formulas to calculate the volume of other simple shapes, like
WITHOUT CALCULATING:
For any other shape, you can easily measure the volume, or estimate it by comparison. If you have a strangely shaped flower vase, its volume is how much water it takes to fill it. A volume of 1000 cubic centimeters is 1000 milliliters, meaning 1 liter. (You can measure 1 liter of water by weighing it (it weighs 1 kilogram), or measuring its volume by comparison to some other container. If you have a measuring cup that holds 1 liter (1000 cubic centimiters), you could see if 1000 cubic centimeters of water (or rice) would fill your container.
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