CramX Logo

Q
QuestionMathematics

The label on a can of lemonade gives the volume as 12 fl oz or 355 ml. Verify that these two measurements are nearly equivalent.
12 months agoReport content

Answer

Full Solution Locked

Sign in to view the complete step-by-step solution and unlock all study resources.

Step 1:
I'll solve this problem step by step, carefully following the LaTeX formatting guidelines:

Step 2:
: Convert fluid ounces to milliliters

Conversion factor: $$1 \text{ fl oz} = 29.5735 \text{ ml}
To compare the two measurements, we'll convert fluid ounces to milliliters using the standard conversion factor.

Step 3:
: Calculate the equivalent volume in milliliters

12 \text{ fl oz} \times \frac{29.5735 \text{ ml}}{1 \text{ fl oz}} = 354.882 \text{ ml}

Step 4:
: Compare the calculated value with the given value

Calculated value: $$354.882 \text{ ml}
Given value: 355 \text{ ml}

Step 5:
: Calculate the difference

|354.882 - 355| = 0.118 \text{ ml}

Step 6:
: Calculate the percentage difference

\frac{0.118}{355} \times 100\% = 0.033\%

Final Answer

This confirms that the volume measurements are nearly identical.