Set up a proportion to convert cubic centimeters to fluid ounces.
Solve for x in the equation 29.574 1 = 9 x .
Calculate x = 29.574 9 ≈ 0.30432 .
Round to the nearest thousandth: 0.304 .
Explanation
Understanding the Problem We are given a conversion table and asked to convert 9 cubic centimeters to fluid ounces, rounded to the nearest thousandth. From the table, we know that 1 fluid ounce is equal to 29.574 cubic centimeters.
Setting up the Proportion To convert 9 cubic centimeters to fluid ounces, we set up a proportion:
29.574 cubic centimeters 1 fluid ounce = 9 cubic centimeters x fluid ounces
where x is the number of fluid ounces equivalent to 9 cubic centimeters.
Solving for x Now, we solve for x :
x = 29.574 9
Calculating the value of x , we get:
x ≈ 0.30432136335970783
Rounding to the nearest thousandth, we have:
x ≈ 0.304 fluid ounces .
Final Answer Therefore, 9 cubic centimeters is approximately equal to 0.304 fluid ounces.
Examples
Imagine you're baking a cake and a recipe calls for a certain amount of liquid in cubic centimeters, but your measuring tools are in fluid ounces. Converting between these units, as we did in the problem, allows you to accurately measure ingredients, ensuring your cake turns out perfectly. This type of conversion is also useful in other areas like medicine, where precise measurements are crucial for administering the correct dosage of medication. Understanding volume conversions helps in everyday tasks and is a fundamental skill in science and cooking.
9 cubic centimeters is approximately equal to 0.304 fluid ounces after converting using the known conversion factor. We calculated this by dividing 9 by 29.574 and rounding the result to three decimal places. The final answer is 0.304 fluid ounces.
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