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[Applause] quite the problem you got there let me see if I can help you figure it out okay so basically we have a trough itamp;#39;s being filled with liquid that has a certain density looks like itamp;#39;s it to be five its and essentially the sides of this troth or an equilateral triangle with lengths ten when I forgot to put in the particular measurements here so hereamp;#39;s kind of a picture of it it turns out that this length is 10 and then I start typing sping get rid that this length here is 10 as is this the entire length of this is 10 which means that this side is 5 meters and this side is 5 meters and the height here is going to be 10 cosine 30 because as you know this angle is 60 so I have thatamp;#39;s 30 which would be 10 times the square root of 3 over 2 or 5 root 3 so this height right here right here is 5 root 3 well this is basically an application of the Riemann integral concept but basically what we want to do is we want to divide this entire c