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Monday, April 21, 2014

Volume

Volume is how much a container will hold or how much space a three dimensional figure contains.  There are many ways to apply volume to everyday life.  When you want to pour water into a bucket, how much water will fit in the bucket?  This is just one example of many to think of volume compared to real life situations.

Lets take a look at some of the volume formula's for a few different shapes.

To find the volume of a rectangular prism: Volume= length x width x height (V= l x w x h)

(The following picture examples came from: this website!)

As you can see in the picture above, the volume was found by multiplying the three numbers given for length, width and height.

For the volume of a prism, we would use the formula: Volume= base x height (V= b x h).
When I saw this example, I noticed that they used a different formula to find the volume of a prism.  I see in the picture above that since every side was exactly 3cm, they multiplied these together to come up with the volume.  Which formula do you think works best?

The volume formula for a cylinder is shown in the picture below.
To find the volume of a cylinder, we must find the area of the base and multiply that by the height. Remember that the area of a circle (the base is a circle) is Pi x radius 2. 

The website where I found all of these examples only provided the formulas for the cone, pyramid, and sphere. I can't figure out how to make a Pi symbol on this blog, so here are the rest of the formulas from the website I sited:

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