Question #cc889

Mar 22, 2017

The correct answer is $D$. Seee xplanation for details.

Explanation:

In the question we have the mass and the density given, and we must calculate the volume.

To do this we have to use the formula:

$d = \frac{m}{V}$

where $d$ - density, $m$ - mass and $V$ - volume

After rearranging the formula we get:

$V = \frac{m}{d}$

Before calculations we have to check the units:

The density is given in $\frac{g}{c {m}^{3}}$, while the mass is given in $k g$. Looking at the answers we can see that we have to express the mass in grams. To do this we have to multiply the mass in kilograms by $1 , 000$: $m = 18 , 754 , 000 g$

Now we can divide the numbers to get the volume:

$V = \frac{1 , 754 , 000}{0.788} \approx 2.38 \times {10}^{7}$