How to Measure the Volume of a Perfect Square

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Measuring the volume of a perfect square requires you to work with a 2D image instead of a 3D one. Measure the volume of a perfect square with help from an experienced educator in this free video clip.

Part of the Video Series: Lessons in Math
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Video Transcript

Hi I'm Marija. I'm a mathematician and today I'm going to tell you how to measure the volume of a perfect square and actually a square is just a 2D figure so we don't take its volume, we take its area but if we construct a perfect cube out of a perfect square then we can do the volume and the formula for volume is always length times width times height. So when we take a cube, we're going to just identify the three important dimensions that we need in order to find volume and we said this is going to be a perfect square so if the base and I know mine doesn't look like a perfect square but we're going to make it one, so if the base is a perfect square then so is every other face on this cube. So let's say that it's a 4 X 4 X 4, all we're going to do is multiply 4 X 4 X 4 so we have 4 X 4 is 16 and 16 X 4 is 64 and if gave this a unit like centimeters, then we would say that it's centimeters cubed because volume is always in cubic measurements. Now because we are dealing with a perfect cube you don't necessarily have to say length times width times height. We can actually just say that it is side cubed since all sides are the same. So if we were dealing with an ordinary rectangular prism, the formula is length times width times height but we can simplify it a little bit because it is a perfect cube and say volume is side squared. My name is Marija and I just showed you how to find the volume of a perfect square.


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