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please go ahead and pause the video and make sure that you try the question before moving forward after reading the description what we want to do is draw a picture of the trough so here is the trough and the ends of the trough are composed of isosceles triangles as noted in the question weve labeled this dimension right here with capital L to represent the length this dimension here W to represent the width of the trough and then H were using to represent the height of the trough some of the known values are placed on the diagram as well in addition to those known values we know an additional quantity known as DV DT if we look over here we can see that we have feet cubed per minute now were expected to know that feet cubed is a unit of volume and of course minutes is a unit of time so when they say feet cubed per minute what theyre really giving us is the rate of change in volume per minute and the symbols we use for that are DV DT so in essence we can say that DV DT is equal to
