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Measuring volume with unit cubes

Video transcript

we are asked what is the volume of this box and they tell us that each cube is a cubic foot so just as a reminder a volume is a measure of how much space does something take up it's usually measured in cubic units and here we're talking about cubic feet and when they say that each cube is a cubic foot they're saying that each of these little boxes each of these cubes here is exactly a one foot by one foot by one foot cube we're in three dimensions night now and we're talking about three dimensions 3d you literally need three dimensions you need how tall you are how wide you are and how deep you are and for a cubic foot each of those dimensions is one so each of these are one cubic foot the entire shape has one two three four five six cubic feet in it so the volume of this entire box is six cubic feet and you see right here the units has feet and it has a superscript here of 3 this is feet to the third power you could use this as feet times feet times feet or cubic feet so this is six cubic feet let's do a few more of these what is the volume of this shape so this one is this one is quite quite interesting right over here you have let's see let's see if we can count these so you have one two three four five six seven eight eight unit boxes or I guess these are cubic inches for this example so let me so we have eight cubic inches this is a lot of fun especially when we get to rotate it so here each cube is a cubic foot again so we have one two three cubic feet three cubic feet let's do one more of these I like the ones that have these kind of crazy shapes that we have to rotate to be able to see all the boxes so each of these is a cubic meter which means that in each dimension each of these boxes is one by one by one meter but how many boxes are there well see we have one we have one let me just get a view where I can look at it better we have one two three four five six boxes so the total volume here is six cubic meters you