Figuring out just how much volume something has is done with a formula.
For the vault, a rectangular solid, the formula is:
Volume = base x width x height or V= b x w x h
If you are planning to build a vault to put all of your treasures in, you want to make sure it is large enough to accommodate your future treasures, as well.
Another formula for volume you may use would be for a pool. If you have the choice to purchase one of two pools, both the same price, other factors may help you decide. If one takes less water, then it will use less chemicals to maintain it, too. Use this formula to find the volume of these two pools:
Volume = π x radius² x height or V= π r² h
(Remember to convert feet to inches for both problems.)
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| Pool 1: 18 feet x 54 inches |
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| 21 feet x 52 inches |
If you want to try a fun website that allows you to drag a dot to choose your own dimensions for a cylinder, then click here.
Help children understand volume by a visual experiment.
Gather:
a plastic or glass container you can see through
picture of water
rocks, marbles, sand, and/or water proof toys of varying sizes
Begin by filling the empty see-through container with the rocks, etc., starting with the biggest objects first. Next fill the container to the top with water.
Then ask the children if they think it would make a difference if they changed the order of how items were put in. Have the children help reload the container starting with the water. They may have figured this one out before you even begin-nothing else will fit.
The ideal way to do this project:
Have 2 containers, both see-through. Fill one in this order; large rocks, small rocks, sand, then water. Fill the other container and start with the sand, then small rocks, then large rocks, then water. Less of the larger rocks will be used. The idea is that children will understand how volume can be made up of different things, but the container still holds the same amount of volume.
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