The conversion 18 c to fahrenheit uses a linear relationship between the Celsius and Fahrenheit temperature scales.
Result: \(18^\circ\text{C} = 64.4^\circ\text{F}\).
Step 1: Use the Celsius-to-Fahrenheit formula
The standard conversion is:
\[ F = \frac{9}{5}\cdot C + 32 \]
where \(C\) is the temperature in degrees Celsius and \(F\) is the temperature in degrees Fahrenheit.
Step 2: Substitute \(C = 18\)
\[ F = \frac{9}{5}\cdot 18 + 32 \]
Step 3: Compute the value
Multiply first:
\[ \frac{9}{5}\cdot 18 = \frac{9\cdot 18}{5} = \frac{162}{5} = 32.4 \]
Add 32:
\[ F = 32.4 + 32 = 64.4 \]
Therefore, \[ 18^\circ\text{C} = 64.4^\circ\text{F} \]
Quick reasonableness check
A useful anchor point is \(0^\circ\text{C} = 32^\circ\text{F}\). Since \(18^\circ\text{C}\) is above \(0^\circ\text{C}\), the Fahrenheit value should be above \(32^\circ\text{F}\), which matches \(64.4^\circ\text{F}\).
| Celsius | Fahrenheit | How obtained |
|---|---|---|
| \(0^\circ\text{C}\) | \(32^\circ\text{F}\) | \(F = \frac{9}{5}\cdot 0 + 32\) |
| \(18^\circ\text{C}\) | \(64.4^\circ\text{F}\) | \(F = \frac{9}{5}\cdot 18 + 32\) |
| \(20^\circ\text{C}\) | \(68^\circ\text{F}\) | \(F = \frac{9}{5}\cdot 20 + 32\) |