To convert Darrian's height from centimeters to inches, we can use the conversion factor provided: 1 inch equals 2.54 centimeters.
First, we can find out how many inches are in 193 cm by using the formula:
\[ \text{inches} = \frac{\text{cm}}{2.54} \]
So, we calculate:
\[ \text{inches} = \frac{193 \text{ cm}}{2.54} \approx 76.0 \text{ inches} \]
Next, to determine if Darrian is taller than his brother, we need to convert his brother's height of 6 feet 6 inches into inches. There are 12 inches in a foot, so:
\[ 6 \text{ ft} = 6 \times 12 = 72 \text{ inches} \]
Adding the additional 6 inches:
\[ 72 \text{ inches} + 6 \text{ inches} = 78 \text{ inches} \]
Now we can compare their heights:
- Darrian: 76 inches
- Brother: 78 inches
Since 76 inches is less than 78 inches, Darrian is not taller than his brother.