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Volume of a rectangular prism

CCSS.Math: ,

Video transcript

what is the volume of this box drag on the box to rotate it so this is pretty neat we can actually sit and rotate this box but we've already seen we and here it looks like everything's being measured in meters so we want to measure our volume in terms of cubic meters that's going to be our unit cube here so when we want to think about how many of how many cubic meters could fit in this box we've already seen examples that you really just have to multiply the three different dimensions of this box so if you wanted the number of cubic meters that could fit in here it's going to be six meters six meters times 8 meters times 8 meters times 7 meters which is going to give you something in cubic meters so let's think about what that is 6 times 8 is 48 let me see if I can do this in my head 48 times 7 that's 40 times 7 which is going to be 280 plus 8 times 7 which is 56 280 plus 56 is going to be 300 and 336 336 let's check our answer let's do one more of these so what's the volume of this box well once again we have its height at 6 feet now everything's being measured in feet we have its I guess we could call it its width being 4 feet so we can multiply the height times the width of 4 feet and then we can multiply that times its depth of 2 feet so times its depth of 2 feet so 6 times 4 is 24 times 2 is 48 feet 48 and I should say cubic feet we're saying how many cubic feet can fit in here when we multiply the various dimensions measured in feet we're essentially saying we're counting almost how many of those cubic feet can fit into this box