Earth has a surface area of 197 million square miles. Convert this area into each of the following units.

(a.) square kilometers
(b.) square megameters
(c.) square decimeters

Respuesta :

Answers:

a) [tex]510,225,121.4 km^{2}[/tex]

We know the Earth's surface area in square miles is:

[tex]197000000 mi^{2}[/tex]

On the other hand, we know [tex]1 mi=1.60934 km[/tex].

Then:

[tex]197000000 mi^{2} \frac{(1.60934 km)^{2}}{1 mi^{2}}=510,225,121.4 km^{2}[/tex]

b) [tex]510.225 Mm^{2}[/tex]

In this part, we can work with the obtained value in part a:

[tex]510,225,121.4 km^{2}[/tex]

And knowing [tex]1 km=0.001 Mm[/tex]

Hence:

[tex]510,225,121.4 km^{2} \frac{(0.001 Mm)^{2}}{1 km^{2}}=510.225 Mm^{2}[/tex]

c) [tex]5.1022(10)^{16} dm^{2}[/tex]

Knowing [tex]1 Mm=10^{7} dm[/tex]:

[tex]510.225 Mm^{2} \frac{(10^{7} dm)^{2}}{1 Mm^{2}}=5.1022(10)^{16} dm^{2}[/tex]