Convert cubic cm to cubic m.

To convert cubic centimeters (cm³) to cubic meters (m³), we need to understand the relationship between these two units of volume. One meter is equivalent to 100 centimeters. Therefore, to convert from centimeters to meters, we divide the number of centimeters by 100.

However, when dealing with cubic measurements, we must apply this conversion factor in three dimensions (length, width, and height). This means that we need to divide by 100 three times or equivalently, divide by \(100^3\) or \(1,000,000\) (since \(100 \times 100 \times 100 = 1,000,000\)).

Here is the step-by-step process to convert cubic centimeters to cubic meters:

1. Identify the volume in cubic centimeters (cm³) that you want to convert to cubic meters. Let's assume the volume we want to convert is \(V_{cm³}\).

2. Apply the conversion factor to convert cubic centimeters to cubic meters. Since there are \(1,000,000\) cubic centimeters in one cubic meter, you divide the number of cubic centimeters by \(1,000,000\) to get the volume in cubic meters.

3. Write down the conversion formula:
\[ V_{m³} = \frac{V_{cm³}}{1,000,000} \]

4. Perform the calculation by substituting the value of \(V_{cm³}\) into the formula.

For example, let's convert 50,000 cubic centimeters to cubic meters:

\[ V_{m³} = \frac{50,000 \text{ cm}^3}{1,000,000} \]

\[ V_{m³} = 0.05 \text{ m}^3 \]

So, 50,000 cubic centimeters is equal to 0.05 cubic meters.

Remember that when performing conversions, it's crucial to keep track of your units and ensure that you're applying the conversion factors correctly for the type of measurement (in this case, volume).