Question

if an object has a density of 8.65 g/cm3, what is its density in units of kg/m3? group of answer choices 8.65 × 10-7 kg/m3 8.65 × 10-1 kg/m3 8.65 × 103 kg/m3 8.65 × 10-3 kg/m3 8.65 × 101 kg/m3

Answer 1

The density of 8.65 g/cm³ converted to kilograms per cubic meter is 8650 kg/m³. Hence, the correct answer is 8.65 × 10³ kg/m³.

Step-by-step explanation:

To convert the density of an object from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³), you need to account for both the mass and volume conversions between the two units (1 g = 0.001 kg and 1 cm³ = 0.000001 m³). The conversion factor between g/cm³ and kg/m³ is 1000 kg/m³ for 1 g/cm³ since there are 1,000 grams in a kilogram and there are 1,000,000 cubic centimeters in a cubic meter. Thus, to convert 8.65 g/cm³ to kg/m³, you would multiply by 1000, rendering the conversion:

8.65 g/cm³ × 1000 kg/m³ = 8650 kg/m³

Therefore, the correct answer from the options provided is 8.65 × 10³ kg/m³.