5,4 mathrm(~m)^3= & mathrm(dm)^3 2,59 mathrm(~m)^3= & mathrm(cm)^3

This question involves unit conversion, specifically converting from cubic meters to cubic decimeters and cubic centimeters. <br /><br />1. For the first part, we need to convert 5.4 cubic meters to cubic decimeters. We know that 1 cubic meter is equal to 1000 cubic decsince 1 meter is equal to 10 decimeters, and volume conversion involves cubing the conversion factor). Therefore, we multiply 5.4 by 1000 to get the answer in cubic decimeters.<br /><br />2. For the second part, we need to convert 2.59 cubic meters to cubic centimeters. We know that 1 cubic meter is equal to 1,000,000 cubic centimeters (since 1 meter is equal to 100 centimeters, and volume conversion involves cubing the conversion factor). Therefore, we multiply 2.59 by 1,000,000 to get the answer in cubic centimeters.