unit change

[amirvakili111]

How do you do this?

The mass of 1 cubic meter of a substance is 800 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram =1000 grams, 1 cubic meter = 1,000,000 cubic centimeters)

Answer= 1.25

[JonathanSchneider]

To make a conversion, first create a ratio, expressed as a fraction. When you do this, be sure to include the labels, so that you remember which part is in meters and which part is in kilos. In this case:

1 m^3 / 800 kg

The idea is that this fraction is equal to 1, since the two parts are equal. Thus, if we want to know the volume of 1 kg of this substance, we can use the fraction as a conversion. Because we start with kg, we want to multiply by the fraction as is, so that the kg in the denominator of the fraction cancels with the kg in the numerator of the amount that we are looking to convert. The result is (1/800) m^3


PS You had posted a number of posts with the subject line "Solved," but all of these posts just contained the word "solved," with nothing else there, so I deleted them. If you had specific questions there, please just re-post those.