Question

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

Answer 1

Answers:

a) $510,225,121.4 km^{2}$

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

$197000000 mi^{2}$

On the other hand, we know $1 mi=1.60934 km$.

Then:

$197000000 mi^{2} \frac{(1.60934 km)^{2}}{1 mi^{2}}=510,225,121.4 km^{2}$

b) $510.225 Mm^{2}$

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

$510,225,121.4 km^{2}$

And knowing $1 km=0.001 Mm$

Hence:

$510,225,121.4 km^{2} \frac{(0.001 Mm)^{2}}{1 km^{2}}=510.225 Mm^{2}$

c) $5.1022(10)^{16} dm^{2}$

Knowing $1 Mm=10^{7} dm$:

$510.225 Mm^{2} \frac{(10^{7} dm)^{2}}{1 Mm^{2}}=5.1022(10)^{16} dm^{2}$