How to Find the Volume of a Cube Without a Top

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Finding the volume of a cube without a top is something that is largely the same as finding the volume of the same shape with a top. Find the volume of a cube without a top with help from an experienced mathematics educator in this free video clip.

Part of the Video Series: Math Lessons & Tips
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Video Transcript

Hi, my name is Marija, and today I'm going to show you how to find the volume of a cube without a top and the way that you find it is actually the same way that you would find the volume of a cube with a top. So the top only effects if you are finding surface area, but if we are looking for volume, volume just means how much can fit inside of our cube. So whether or not there's a top doesn't matter because the same amount can fit inside. So the three dimensions that you would need to find the volume of any rectangular prism is length, width and height but in a cube they are all the same. So let's say that the dimension, the length is 3. Because the volume is equivalent to length times width times height but we are dealing with a cube in which they are all the same, it's actually just going to be the side cubed. So in this case we are just doing volume equals 3 cubed. So 3 cubed means 3 times 3 times 3 which is going to be 27 and whatever our units were, let's say this was 3 feet we're going to say feet cubed because volume is always cubed. So the volume of a cube can be found by doing one of the sides to the third power and that's how you find it with or without a top.


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