Question

The average ocean depth is $3.7\times {10}^3\mathrm{m}$and the area of the oceans is$3.6\times {10}^{14}{\mathrm{m}}^2$. What is the total volume of the ocean in liters? (one cubic meter contain 1000 liters)

Short answer

The volume is $1.3\times {10}^{21}\text{liters}$.

Step-by-step solution

Step 1. Scientific Notation.

A positive number x is said to be written in scientific notation if it is expressed as follows:

$x=a\times {10}^n\text{where}1\le a<10$ and n is an integer.

We know that $Volumeofwater=area\times height$

Step 2. Determine the expression.

It is given that the depth of the ocean is $3.7\times {10}^3\mathrm{m}$

The area of the ocean is $3.6\times {10}^{14}{\mathrm{m}}^2$

The required expression is:$\text{Volume}=(3.7\times {10}^3)(3.6\times {10}^{14})$

Step 3. Simplify the expression.

$\begin{array}{l}(3.7\times {10}^3)(3.6\times {10}^{14})\\ =1.332\times {10}^{18}{m}^3\\ =1.3\times {10}^{21}\text{litres}\end{array}$

Hence, the volume is $1.3\times {10}^{21}\text{liters}$.