What is 182 cm in inches?

Steps to Solve

1. Identify the conversion factor

We know from the problem that $1 \text{ inch} = 2.54 \text{ cm}$. To convert from centimeters to inches, we will use the inverse of this conversion factor, which is $1 \text{ cm} = \frac{1}{2.54} \text{ inches}$.

2. Set up the conversion equation

Let’s say we have a height measurement in centimeters, represented as $H_{cm}$. To convert this to inches, we can use the formula:

$$ H_{in} = H_{cm} \times \frac{1}{2.54} $$

3. Calculate the height in inches

Now, substitute the height measurement in centimeters into the formula. If we have, for example, $H_{cm} = 100 \text{ cm}$, the conversion would be:

$$ H_{in} = 100 \times \frac{1}{2.54} $$

4. Perform the calculation

Now, calculate the result:

$$ H_{in} = 100 \div 2.54 \approx 39.37 \text{ inches} $$

5. Final Answer

State the final result clearly, ensuring that it maintains the proper context regarding the conversion of height from centimeters to inches.