To convert 30 cm to inches, you will need to follow these steps:
Step 1: Understand the relationship between centimeters and inches
Before we begin the conversion, it is important to understand the relationship between centimeters (cm) and inches (in). One inch is equal to 2.54 centimeters. This means that to convert cm to inches, we will need to divide the value in cm by 2.54.
Step 2: Write the value to be converted as a fraction
To convert 30 cm to inches, we will write it as a fraction with cm as the numerator and inches as the denominator. This will look like 30 cm/1 in.
Step 3: Set up the conversion factor
Since we know that 1 inch is equal to 2.54 centimeters, we can set up a conversion factor with this information. This conversion factor will be 1 in/2.54 cm.
Step 4: Set up the equation
We can now set up the equation using the values from steps 2 and 3. It will look like this: 30 cm/1 in = (30 cm/1) x (1 in/2.54 cm).
Step 5: Cancel out the common unit (cm)
In the conversion factor, we can see that cm is present in both the numerator and denominator. This means we can cancel it out, leaving us with 30/2.54 in.
Step 6: Solve the equation
Now we can simply divide 30 by 2.54 to get the final answer. This will give us 11.811 inches. However, it is always a good practice to round off the answer to the appropriate number of significant figures. In this case, the answer would be 11.81 inches.
Therefore, 30 cm is equivalent to 11.81 inches.
In summary, to convert cm to inches, you need to divide the cm value by 2.54. Remember to write the value as a fraction, set up the conversion factor, cancel out the common unit, and finally solve the equation. With these steps, you can easily convert any length value from cm to inches.