inal answer:
To convert 7.5 x 10^-5 g/cm3 to kg/m3, divide the mass by 1000 to convert grams to kilograms and then divide the volume by 1,000,000 to convert cubic centimeters to cubic meters, resulting in a conversion to 7.5 x 10^-2 kg/m3.
Step-by-step explanation:
To convert the measurement of 7.5 x 10^-5 g/cm3 to kg/m3, we need to account for the conversion factors between grams and kilograms and between cubic centimeters and cubic meters. There are 1000 grams in a kilogram and 1,000,000 cubic centimeters in a cubic meter (since a meter is 100 centimeters, a cubic meter is 1003 cubic centimeters).
To start, convert the mass from grams to kilograms:
7.5 x 10^-5 grams is 7.5 x 10^-8 kilograms (since we divide by 1000).
Next, convert the volume from cubic centimeters to cubic meters:
1cm3 equals 1 x 10^-6 m3 (since we divide by 1,000,000).
When you combine both conversions, the density in kilograms per cubic meter is simply the original density multiplied by the conversion factors for both mass and volume.
Density in kg/m3 = 7.5 x 10^-8 kg / 1 x 10^-6 m3 = 7.5 x 10^-2 kg/m3.