Problem: the mass of 1 cubic meter of a substance is 200 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters )
Rationale: "density is mass divided by volume . so density of the given substance will be mass / volume = 200 kg / 1 m ^ 3 = 800 kg / m ^ 3 or 1 g / 5 cm ^ 3 = 0.2 g / cm ^ 3 . next , ask yourself if 200,000 g is equivalent to 1 , 000,000 cubic centimeters then 1 g is equivalent to how many cubic centimeters ? - - > 1 g - 1 , 000,000 / 800,000 = 10 / 2 = 5 cubic centimeters . answer is e"
annotated_formula: subtract(divide(power(const_100, const_3), multiply(200, 1,000)), const_2)