Convert 3.5 quarts (dry) to liters (to the nearest hundredth).
Answer (2)
Find the conversion factor for liquid quarts to liters: 9.463 × 1 0 − 1 liters.
Multiply the liquid quarts to liters conversion factor by 1.164 to find the conversion factor for dry quarts to liters: 9.463 × 1 0 − 1 × 1.164 = 1.1014632 liters.
Multiply 3.5 quarts (dry) by the conversion factor to get the volume in liters: 3.5 × 1.1014632 = 3.8551212 liters.
Round the result to the nearest hundredth: 3.86 liters.
Explanation
Understanding the Conversion We need to convert 3.5 quarts (dry) to liters. From the table, we know that 1 quart (liquid) is equal to 9.463 × 1 0 − 1 liters. To find the conversion factor for dry quarts, we need to multiply the liquid quarts conversion factor by 1.164.
Calculating the Dry Quart Conversion Factor First, we calculate the conversion factor for 1 quart (dry) to liters: 1 quart (dry) = 9.463 × 1 0 − 1 × 1.164 liters 1 quart (dry) = 0.9463 × 1.164 liters 1 quart (dry) = 1.1014632 liters
Converting 3.5 Quarts (Dry) to Liters Now, we multiply 3.5 quarts (dry) by the conversion factor to find the equivalent volume in liters: 3.5 quarts (dry) = 3.5 × 1.1014632 liters 3.5 quarts (dry) = 3.8551212 liters
Rounding to the Nearest Hundredth Finally, we round the result to the nearest hundredth: 3.8551212 ≈ 3.86 liters
Final Answer Therefore, 3.5 quarts (dry) is approximately equal to 3.86 liters.
Examples
Imagine you're baking a cake and the recipe calls for quarts (dry) of flour, but your measuring cups are in liters. This conversion helps you accurately measure the flour needed for your recipe, ensuring the cake turns out perfectly. Understanding volume conversions is essential in cooking, chemistry, and many other fields where precise measurements are crucial. By knowing how to convert between different units, you can easily adapt recipes and experiments to the tools you have available.
3.5 quarts (dry) converts to approximately 3.86 liters by using a conversion factor of about 1.1014632 liters per dry quart. The calculation involves multiplying the quarts by the conversion factor and then rounding the result. Thus, the final answer is 3.86 liters.
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