Thursday, September 17, 2015

How do you find the volume of an uneven figure made up of 1 inch cubes?

There are a couple of approaches that you can use to find the volume of an irregular figure:


Technically, one finds the volume by multiplying a figure’s (length x width x height).  In the case of an irregular figure, one cannot determine volume using the formula.  But, if the diagram you have shows the faces of the individual cubes, then you can count the cubes that you see, plus the ones that you expect to be behind the cubes facing you based on how the diagram is drawn.


Another approach is to look at the irregular figure as if it is a bunch of regular figures that have been put together.  In this case, use the (length x width x height) formula to solve for the volume of all the regular figures, then add the volumes together to get the volume of the irregular figure.


For either approach, your units will still be in.3

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