The volume of a water bottle is 3 liters.How many cups the water bottle holds?
The Correct Answer and Explanation is:
To convert the volume of a water bottle from liters to cups, we first need to know the conversion factor between these two units of measurement. One liter is approximately equal to 4.22675 cups. Therefore, to find out how many cups are in 3 liters, we can use the following calculation:
[
\text{Cups} = \text{Liters} \times \text{Conversion factor}
]
Substituting the values we have:
[
\text{Cups} = 3 \, \text{liters} \times 4.22675 \, \text{cups/liter}
]
Calculating this gives:
[
\text{Cups} \approx 3 \times 4.22675 \approx 12.68025
]
Since we typically express the number of cups in whole numbers when discussing practical volumes like those found in a water bottle, we round this to the nearest whole number. Thus, a 3-liter water bottle holds approximately 13 cups.
Explanation of the Calculation
1. Understanding Volume Measurement:
Volume is a measure of the amount of space that a substance (in this case, water) occupies. Different countries and contexts may use various units for measuring volume, such as liters, gallons, quarts, and cups. In cooking and food preparation, cups are commonly used as they provide an easily manageable measurement.
2. Conversion Factors:
Conversion factors are used to change from one unit of measurement to another. Knowing that 1 liter equals approximately 4.22675 cups allows for the straightforward conversion of volume when switching between metric and customary systems.
3. Practical Implications:
When purchasing or using water bottles, understanding how much liquid they hold in cups can be helpful for hydration tracking, recipe measurements, and ensuring appropriate fluid intake. For example, if a recipe calls for a certain number of cups of water, knowing that a 3-liter bottle holds about 13 cups allows for easier preparation.
In summary, converting volumes between liters and cups is essential in various scenarios, making understanding these relationships valuable for daily activities.