Question

1. gold has a density of 19.3 g/cm³. what is the density in kilograms per cubic meter?

Explanation:

Step1: Convert grams to kilograms

We know that 1 kg = 1000 g, so 1 g=$\frac{1}{1000}$ kg.

Step2: Convert cubic - centimeters to cubic - meters

We know that 1 m = 100 cm, so 1 cm=$\frac{1}{100}$ m and 1 cm³ = ($\frac{1}{100}$ m)³=$\frac{1}{1000000}$ m³.

Step3: Calculate the new density

The original density is 19.3 g/cm³. Substituting the conversion factors:
\[

$$\begin{align*} 19.3\frac{g}{cm^{3}}&=19.3\times\frac{\frac{1}{1000}\text{ kg}}{\frac{1}{1000000}\text{ m}^{3}}\\ &=19.3\times\frac{1000000}{1000}\text{ kg/m}^{3}\\ &= 19300\text{ kg/m}^{3} \end{align*}$$

\]

Answer:

19300 kg/m³