Question

writing and using a conversion factor
units of capacity
customary system units \tmetric system units
1 gallon \t3.79 liters
1 quart \t0.95 liters
1 cup \t0.237 liters
sameer usually drinks 3 cups of coffee in the morning.
how many liters of coffee does he drink? round your answer to the nearest tenth.
$\frac{3\text{ cups}}{1} \times \frac{\text{new units}}{\text{original units}} = ?$
sameer drinks $\square$ liters of coffee in the morning.

Explanation:

Step1: Identify conversion factor

We know 1 cup = 0.237 liters, so the conversion factor is $\frac{0.237 \text{ liters}}{1 \text{ cup}}$.

Step2: Calculate total liters

Multiply number of cups by conversion factor.
$3 \text{ cups} \times \frac{0.237 \text{ liters}}{1 \text{ cup}} = 3 \times 0.237 \text{ liters} = 0.711 \text{ liters}$

Step3: Round to nearest tenth

Round 0.711 to one decimal place.
$0.711 \approx 0.7$

Answer:

0.7 liters