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Volume word problem: gold ring

Thuyết minh video

Jamie wants to know the volume of his gold ring in cubic inches he gets a rectangular glass with base three inches by two inches so you see that here the base is three inches by two inches and fills the glass four inches high with water so you see that over here four inches high with water Jamie drops his gold ring in the glass and measures the new height of the water to be 4.25 inches so this is after the gold ring is dropped what is the volume of Jamie's ring in cubic inches well when you start with this water right over here and you add his ring whatever that volume is of his ring it's going to displace an equal volume of water and push it up and so the incremental volume that you now have is essentially going to be the volume of his ring well what is the incremental volume here well it's going to be the volume if you think about going from this before volume to the after volume the difference is the base the base stays the same it's three inches by two inches the difference is should make it a little bit draw a little bit neater the base is the same the difference the difference is the height the height now is four point two five inches after dropping in the ring so the water went up by 0.25 inches so it went up by 0.25 let me write that 0.25 inches is what the water went up by so we could just think about what is this incremental volume going to be what is this incremental volume that I'm drawing going to be so this incremental volume right over here that I'm shading in the purple well to figure that out we just have to measure we just have to multiply the length times the width times the height times 0.25 so it's just going to be it's just going to be 3 times 2 times 0.25 3 times 2 is 6 times 0.25 and you could do that either on paper or you might be able to do that in your head 4 times 0.25 is going to be 1 and you have two more times 0.25 that's going to be 0.5 so this is going to be one point five one point five and we multiplied inches times inches times inches so this is to be in terms of cubic inches 1.5 cubic inches is is the volume of Jamie's ring which is actually a pretty sizable volume for a gold ring maybe it's a very big finger or he just likes to spend or I guess his his his whoever bought him the ring likes to spend a lot on gold