What is the minimum amount of work that must be done to dig a trench $6\, \mathrm{m}$ long, $2\, \mathrm{m}$ deep, and $0.5\, \mathrm{m}$ wide? The average density of soil is $2000\, \mathrm{kg/m^3}$ .

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What is the minimum amount of work that must be done to dig a trench 6m6m6\, \mathrm{m} long, 2m2m2\, \mathrm{m} deep, and 0.5m0.5m0.5\, \mathrm{m} wide? The average density of soil is 2000kg/m32000kg/m32000\, \mathrm{kg/m^3}.