Question

the table shows some data about earth. the density of an object is found by dividing its mass by its volume. express earths density using scientific notation in kg/km³.

earths density is about □ kg/km³. (use scientific notation. use the multiplication symbol in the math palette as needed. round to the nearest whole number as needed.)

facts about earth
radius at equator 6,378.1 km
mass 5.9726×10²⁴ kg
volume 1,083,210,000,000 km³

Explanation:

Step1: Recall density formula

Density $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.

Step2: Identify mass and volume values

$m = 5.9726\times10^{24}\text{ kg}$ and $V= 1.083219\times10^{12}\text{ km}^3$.

Step3: Calculate density

$
ho=\frac{5.9726\times 10^{24}}{1.083219\times 10^{12}}$
Using the rule $\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$, we have $\frac{5.9726}{1.083219}\times10^{24 - 12}$.
$\frac{5.9726}{1.083219}\approx5.514$.
So $
ho\approx5.514\times10^{12}\text{ kg/km}^3$.

Step4: Round to nearest whole number

Rounding $5.514$ to the nearest whole number gives 6.
So $
ho = 6\times10^{12}\text{ kg/km}^3$.

Answer:

$6\times10^{12}$