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According to the label on a bottle of salad dressing, the volume of the contents is 0.421 liter (L). Using only the conversions 1.00 L = 1000. cm^3 and 1 in. = 2.54 cm, express this volume in cubic inches.

Question

According to the label on a bottle of salad dressing, the volume of the contents is 0.421 liter (L). Using only the conversions 1.00 L = 1000. cm^3 and 1 in. = 2.54 cm, express this volume in cubic inches.

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Solution

Sure, here are the steps to convert 0.421 liters to cubic inches:

  1. Convert liters to cubic centimeters: Since 1 liter is equal to 1000 cubic centimeters, you multiply 0.421 liters by 1000 to get the volume in cubic centimeters. 0.421 L * 1000 cm^3/L = 421 cm^3

  2. Convert cubic centimeters to cubic inches: Since 1 inch is equal to 2.54 cm, 1 cubic inch is equal to (2.54 cm)^3 = 16.387 cm^3. So, you divide 421 cm^3 by 16.387 to get the volume in cubic inches. 421 cm^3 / 16.387 cm^3/in^3 = 25.7 in^3

So, the volume of the salad dressing is approximately 25.7 cubic inches.

This problem has been solved

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