A water tank can hold 50 gallons of water. About how many liters of water can it hold? 1 L≈1.06 qt Responses 11.8 L 11.8 L 13.25 L 13.25 L 47.2 L 47.2 L 188.7 L 188.7 L
The Correct Answer and Explanation is :
To convert gallons to liters, we first need to know the conversion factors between these units.
1 gallon is approximately equal to 3.78541 liters. Therefore, if we have a water tank that can hold 50 gallons, we can calculate the volume in liters using the following formula:
[
\text{Volume in liters} = \text{Volume in gallons} \times \text{Conversion factor}
]
Substituting the known values:
[
\text{Volume in liters} = 50 \, \text{gallons} \times 3.78541 \, \text{liters/gallon}
]
Calculating this gives:
[
\text{Volume in liters} \approx 189.27 \, \text{liters}
]
When rounding to one decimal place, this is approximately 189.3 liters.
Looking at the provided options: 11.8 L, 13.25 L, 47.2 L, and 188.7 L, the closest correct answer is 188.7 L.
Explanation of Conversion
Conversions between units of volume are essential in various fields, including cooking, chemistry, and engineering, where different systems of measurement are used. In this case, we are converting from the US customary unit (gallons) to the metric system (liters).
The gallon is commonly used in the United States to measure liquids, whereas the liter is the standard unit for volume in the metric system, used widely across the globe. This conversion allows for better communication and understanding, especially in international contexts.
Understanding these conversions is not just about memorizing numbers; it helps to appreciate the relationships between different measurement systems. In practical applications, such as filling a tank or mixing chemicals, knowing how to convert between these units ensures accuracy and consistency, which are vital in scientific and practical endeavors.
Thus, for our water tank, knowing it holds approximately 188.7 liters allows for precise planning and management of water resources.