Question

The density of gold is 19.3 g/cm³. What is the value in kg/m³?

a) 19300 kg/m³
b) 1930 kg/m³
c) 193 kg/m³
d) 19.3 kg/m³

Answer 1

To convert the density of gold from 19.3 g/cm³ to kg/m³, you multiply by 0.001 to convert grams to kilograms and then by
`1 x 10^6` to convert cubic centimeters to cubic meters, resulting in 19300 kg/m³.

Step-by-step explanation:

The density of gold is given as 19.3 g/cm³. To convert this value to kilograms per cubic meter (kg/m³), you need to understand the conversion factors between these units. One gram is equal to 0.001 kilogram, and one cubic centimeter is equal to
`1 x 10^-6` cubic meters. Therefore, to convert the density from g/cm³ to kg/m³, you would multiply by 0.001 and then by
`1 x 10^6` (because there are
`1 x 10^-6` cubic centimeters in a cubic meter). Multiplying 19.3 by 1000 converts grams to kilograms, and the resulting value is 19300 kg/m³.