Imagine you made a gallon pitcher of lemonade for your family picnic.You poured the lemonade into 12 paper cup until there wasn't a drop left.Is the volume of the lemonade in the pitcher and the lemonade in the 12 paper cups put together the same or different?Explain your reasoning.
The volume must be the same. You didn't add or subtract anything from the lemonade.
thank you sooooo much
Why would the total volume change?
It stays the same, because the density does not change and the mass does not change.
To determine whether the volume of the lemonade in the pitcher and the 12 paper cups put together is the same or different, we need to consider the total volume of liquid in both containers.
First, let's look at the volume of the lemonade in the pitcher. You mentioned that you made a gallon pitcher of lemonade. Since 1 gallon is equivalent to 128 fluid ounces, the pitcher contains 128 fluid ounces of lemonade.
Next, we need to consider the volume of the lemonade poured into the 12 paper cups. Assuming each cup is of equal size, we can divide the total volume of lemonade in the pitcher (128 fluid ounces) by the number of cups (12).
128 fluid ounces ÷ 12 cups = 10.67 fluid ounces per cup
So, each paper cup would be filled with approximately 10.67 fluid ounces of lemonade.
Now, let's calculate the total volume of lemonade in the 12 cups:
10.67 fluid ounces/cup x 12 cups = 128.04 fluid ounces
We find that the total volume of lemonade in the 12 cups is approximately 128.04 fluid ounces.
Therefore, the volume of the lemonade in the pitcher (128 fluid ounces) and the volume of the lemonade in the 12 paper cups (128.04 fluid ounces) put together are slightly different. This difference may be due to rounding errors in our calculations or variations in the actual volume poured into each cup. However, for practical purposes, we can consider them as approximately the same volume.