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in this problem were gonna learn how to calculate the cubic yards of dirt removed from a rectangular trench its similar to the cubic foot problem we did earlier but were gonna calculate cubic yards well lets go to the board and see how to work this problem well the problem reads your crew needs to dig a trench three feet wide by a 1,200 feet long by six feet deep for a new water main how many cubic yards of dirt must be removed well like always were gonna write down our known and our unknown information so in this case were looking for cubic yards not cubic feet but cubic yards of dirt removed so we write that down we have a width of three feet a length of 1,200 feet and a depth of six feet well were going to use our formula to calculate our volume in cubic feet and then well convert that to cubic yards once were done so plugging in our numbers and doing the math our volume is twenty one thousand six hundred cubic feet well we need cubic yards so were gonna do a unit conversi